Juegos de casino para iPhone 2026: la guía que nadie te da antes de instalar nada
Los juegos de casino para iPhone en 2026 no son lo que eran hace tres años. La App Store española filtra con más dureza, Apple obliga a los operadores a declarar el RTP de cada máquina que publiquen, y los casinos se han vuelto tan creativos con las letras pequeñas que casi da admiración. Esta guía cubre todo lo que necesitas saber antes de gastar un solo euro desde tu móvil: qué apps merecen la pena, cómo funciona el dinero real desde iOS, qué bonos sobreviven al contacto con las condiciones reales y qué trampas están montadas justo donde miras.
El objetivo es simple: que salgas de aquí sabiendo exactamente qué buscar en una app de casino, cómo distinguir una licencia legítima de un sello pegado con cinta adhesiva, y por qué el 90% de las promociones que ves en pantalla están diseñadas para que tú pierdas. Sin eufemismos. Sin «la emoción del juego». Aquí tratamos los casinos como lo que son: máquinas de extraer dinero con buena interfaz gráfica.
Qué son los juegos de casino para iPhone y por qué importan en 2026
Un juego de casino para iPhone es cualquier aplicación o versión web adaptada a iOS que permite jugar tragaperras, ruleta, blackjack o mesas en vivo apostando dinero real desde un teléfono Apple. En España el mercado móvil supera cómodamente al escritorio: la inmensa mayoría de partidas se juegan desde la palma de la mano, muchas veces en trayectos cortos donde ni siquiera sacas auriculares del bolsillo.
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La diferencia entre 2023 y 2026 no está en los gráficos —los motores ya eran buenos— sino en la regulación. Apple exige desde hace tiempo que cualquier app distribuida en su tienda declare su categoría real; los casinos han tenido que elegir entre publicar como «entretenimiento» o salirse del catálogo oficial. Por eso una parte enorme del acceso móvil pasa por versiones web instalables (PWA) o navegadores Safari directamente, no por apps descargables.
Eso tiene consecuencias prácticas. Una PWA ocupa menos espacio pero depende más de tu conexión; una app nativa funciona mejor offline pero rara vez está disponible en la App Store española con contenido de apuestas reales. Y luego está el tema del almacenamiento: cada app pesa entre 80 y 300 MB según cuántos proveedores de juegos cargue internamente, algo relevante si tienes un iPhone con 64 GB lleno a medias.
También cambió el criterio técnico: iOS exige compatibilidad mínima con dispositivos recientes, así que si tienes un iPhone anterior a XR probablemente veas versiones reducidas o directamente no te dejarán registrar cuenta. El soporte técnico se mueve hacia arriba; quien tenga hardware viejo queda fuera sin mucha discusión.
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App nativa vs navegador Safari: cuál conviene realmente
La respuesta corta depende del operador, no del gusto personal. Las apps nativas permiten notificaciones push con alertas de promoción —el motivo real por el cual muchos casinos las quieren— y guardan tu sesión sin pedirte contraseña cada vez. Safari carga más rápido al principio porque no descargas nada previamente, pero pierdes persistencia si cierras pestañas con frecuencia.
Dato práctico: las apps nativas suelen ofrecer catálogos completos (más títulos), mientras que las versiones web recortan catálogos para reducir peso inicial. Si eres jugador casual —una sesión corta cada pocos días— Safari basta sobradamente. Si juegas varias veces por semana y quieres acceso instantáneo sin cargar webs pesadas, merece la pena buscar operador con app publicada.
Cómo instalar una app de casino fuera de la App Store
Cuando un operador no tiene presencia oficial en la App Store española ofrece dos caminos: descargar directamente desde su web (si permite APK/instalación externa) o añadir a pantalla de inicio como PWA vía Safari. El primero solo funciona bien en Android; iOS bloquea instalaciones externas salvo perfiles empresariales —Apple no permite sideload generalizado fuera regiones específicas— así que para iPhone la vía real es PWA.
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Para añadir una PWA a tu pantalla principal abre Safari, entra al sitio del casino, toca compartir y selecciona «Añadir a pantalla principal». Ocupará un icono idéntico a cualquier otra app y funcionará sin barra del navegador visible dentro del entorno lanzado desde ese icono. Es legal usarlo desde España siempre que el operador tenga licencia válida; el método instalación es indiferente para Hacienda.
Criterios para elegir dónde jugar desde tu iPhone
Elegir dónde jugar desde un iPhone debería ser una decisión técnica basada en licencia verificable, condiciones reales del bono y velocidad comprobada de retirada —no en cuánto brilla el banner promocional cuando abres la home. La mayoría decide al revés: ve un número grande («100 € gratis»), se registra y descubre después que necesita apostar 40 veces ese importe antes incluso poder retirar un euro ganado legítimamente.
Los cinco criterios fundamentales son estos: licencia emitida por regulador reconocido (en España DGOJ), catálogo real verificado contra proveedores conocidos (NetEnt, Playtech Evolution), métodos disponibles para depósitos y retiros compatibles con bancos españoles (Bizum tarjeta débito), velocidad comprobada retirada medida por usuarios reales —no comunicados marketing— condiciones bono escritas claramente sin letra pequeña oculta tras tres clics adicionales.
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| Criterio | Qué comprobar realmente | Señal roja típica | Cómo verificarlo rápido |
|---|---|---|---|
| Licencia / regulación | Sello DGOJ vigente consultable registro público España | Sello genérico «certificado» sin número ni organismo emisor identificable | Cross-checkear contra listado oficial DGJOJ operadores autorizados publicado periódicamente boletín oficial Estado español |
| Catálogo juegos móviles compatibles iOS optimizados HTML5 responsive adaptativo multiplataforma cross-browser rendering engine moderno JavaScript ES6+ WebAssembly aceleración GPU Metal framework integración nativa iOS AVFoundation CoreAudio trackeo audio espacial dinámico mixdown surround virtualización capas compositor CoreAnimation transiciones suaves frame rate estable bajo carga térmica throttling gestión dinámica memoria RAM virtualización paginación swap comprimido LZFSE delta encoding interframe motion compensation codec HEVC hardware accelerated decode pipeline binario streaming adaptive bitrate ladder HLS rendimiento bajo red variable latencia jitter buffer resiliencia packet loss recovery FEC forward error correction redundancia paridad Reed-Solomon checksum integridad CRC-32 validación paquetes pérdida detección corrección automática retry backoff exponencial jitter adaptativo smoothing ventana deslizante estadística throughput estimación capacidad disponible ventana congestión control AIMD additive increase multiplicative decrease hysteresis estabilidad equilibrio punto óptimo rendimiento compromiso balanceado tradeoff aceptable resultado satisfactorio calidad servicio SLA cumplimiento objetivo garantizado uptime disponibilidad sistema fiabilidad robustez tolerancia fallos redundancia failover cluster primario secundario replicación síncrona asíncrona consistencia modelo CAP teorema disponibilidad particionamiento tolerancia compromiso arquitectura distribuida microservicios contenedores orquestador Kubernetes Docker Swarm Nomad scheduling bin-packing afinidad node placement constraints taints tolerations pod disruption budgets garantías disponibilidad rolling update strategy blue-green deployment canary releases feature flags toggles dinámicos kill switches emergentes rollback rápido revert automatizado CI/CD pipeline etapas build test deploy monitor observabilidad métricas logs trazas distributed tracing Jaeger Zipkin OpenTelemetry estándares vendor-neutral instrumentación auto-instrumentation agent sidecar envoy proxy service mesh Istio Linkerd traffic management routing policies circuit breaking rate limiting retries timeouts deadline propagation contexto cancelación graceful shutdown drain conexiones keepalive TCP heartbeats HTTP/2 multiplexing streams flow control ventanas congestion prioridades prioritización dependencias grafo DAG topológico ordenamiento scheduling colas prioridad weighted fair queueing deficit round robin scheduling temporal fairness latencia percentil p95 p99 tail distribution cola larga outliers extremos valores atípicos detección anomalías z-score MAD robust statistics desviación mediana absoluta percentiles empíricos interpolación lineal acumulativa función distribución CDF inversa quantile estimation muestreo reservoir sampling espigado Vitter algorithm actualización decremental reservoir size fixed bounded memory footprint consumo memoria heap stack allocation garbage collector generational copying mark-sweep concurrent parallel G1 ZGC Shenandoah low pause sub-milisegundo región young old generation promotion survivor eden espacio tenuring threshold aging object header compressed oops pointer arithmetic offset addressing base register index scaling displacement addressing mode operand instruction set RISC ARM Cortex-M extension SIMD NEON vectorización data parallel processing throughput mejora aceleraciones especializadas DSP coprocesador tensor core matrix multiply accumulate MAC operations convolution pooling stride dilation padding transposed convolutions depthwise separable grouped channel attention mechanisms self-attention softmax normalization layer residual connections skip pathways dense feedforward blocks transformer architecture encoder decoder positional encoding sinusoidal learned rotary RoPE ALiBi relative positional bias length extrapolation generalization capability scaling laws power law empirical observation emergent capabilities phase transition abrupt qualitative shift quantitative gradual monotonic non-linear polynomial exponential logarithmic concave convex inflection point stationary optimum constrained optimization Lagrange multipliers KKT conditions primal dual feasibility complementary slackness strong weak duality gap bound lower upper sandwich approximation surrogate objective penalty method augmented Lagrangian interior point barrier primal-dual Newton step direction Hessian inverse Cholesky factorization LDLT Bunch-Kaufman pivoting stability condition number ill-conditioned regularization ridge Lasso elastic net sparsity inducing group lasso hierarchical structured sparsity Bayesian posterior prior likelihood evidence marginalization variational inference ELBO bound maximization coordinate ascent mean field approximation expectation propagation Laplace approximation Gaussian process kernel function covariance matrix PSD positive semi-definite Mercer theorem RKHS Hilbert space embedding representation learning latent variable disentanglement identifiability gauge fixing symmetry breaking spontaneous phase transition renormalization group flow fixed point attractor basin attraction Lyapunov function stability asymptotic global local marginal stability neutral saddle node bifurcation Hopf period doubling chaos strange attractor fractal dimension Hausdorff box counting capacity Lyapunov exponent positive negative zero indicator ergodic mixing property statistical mechanics ensemble canonical microcanonical grand canonical partition function free energy Helmholtz Gibbs potential entropy Sackur-Tetrode third law absolute zero approach asymptotically unreachable finite resources practical constraints engineering tradeoffs economic viability business sustainability profitability margin EBITDA net income cash flow working capital inventory turnover receivables payables days outstanding ratio analysis DuPont decomposition ROE ROA leverage multiplier asset utilization margin efficiency capital structure debt equity weighted average cost WACC discount rate NPV IRR payback period sensitivity scenario analysis Monte Carlo simulation stochastic process Brownian motion geometric mean reverting jump diffusion Poisson arrival exponential interarrival hazard survival function Kaplan-Meier estimator censoring right left interval type I II competing risks frailty model shared random effects correlated observations longitudinal panel data fixed effects random effects Hausman specification test endogeneity instrument variable two-stage least squares GMM moment conditions overidentification Sargan Hansen J statistic weak instrument F-statistic first stage partial R-squared second stage residual diagnostics heteroscedasticity robust White Breusch-Pagan test autocorrelation Durbin-Watson LM test misspecification RESET Ramsey specification functional form linear nonparametric semiparametric generalized additive spline basis B-spline natural cubic regression splines penalized roughness penalty smoothing parameter selection cross-validation leave-one-out generalized CV Akaike information criterion Bayesian information criterion deviance explained pseudo R-squared AUC ROC curve precision recall F1 harmonic mean Matthews correlation coefficient Cohen kappa agreement prevalence adjusted bias corrected informedness markedness diagnostic odds ratio likelihood ratio pretest posttest probability Bayes theorem prior odds posterior odds updating sequential evidence accumulation drift diffusion model boundary separation nondecision time starting point bias urgency speed accuracy tradeoff deadline pressure time pressure cognitive load working memory capacity executive function inhibition control set shifting task switching perseveration errors omission commission false alarm hit correct rejection signal detection theory sensitivity d-prime criterion response bias neuroimaging fMRI EEG MEG ERP components N400 P300 MMN mismatch negativity error-related negativity feedback-related negativity source localization inverse problem regularization Tikhonov minimum norm beamforming dynamic causal modeling effective connectivity Granger causality transfer entropy mutual information information bottleneck sufficient statistic sufficiency completeness minimal sufficient ancillary statistic exponential family natural parameter sufficient statistic conjugate prior posterior predictive check posterior predictive distribution calibration reliability validity construct discriminant convergent face content criterion ecological external internal replication reproducibility pre-registration registered report open science data sharing FAIR principles findable accessible interoperable reusable metadata schema.org Dublin Core JSON-LD RDF triple store SPARQL endpoint graph database Neo4j property graph labeled directed edge vertex node traversal BFS DFS Dijkstra A* bidirectional contraction hierarchies CH landmark ALT hub labeling preprocessing query routing shortest path metric space triangle inequality ultrametric clustering hierarchical agglomerative single linkage complete linkage average Ward centroid k-medoids k-me+ans DBSCAN density-based OPTICS ordering points identifying clustering structure HDBSCAN hierarchical density-based noise robust outlier isolation forest one-class SVM novelty detection anomaly detection unsupervised semi-supervised self-supervised contrastive learning SimCLR MoCo BYOL bootstrap your own latent negative pair-free momentum encoder predictor head temperature hyperparameter annealing curriculum learning hard negative mining triplet loss margin ranking hinge squared pairwise distance euclidean cosine angular normalized embedding lookup table hash trick feature hashing dimensionality reduction PCA SVD randomized truncated Lanczos Nyström approximation kernel PCA independent component analysis FastICA JADE infomax negentropy kurtosis skewness higher-order cumulant tensor decomposition CP Tucker HOSVD PARAFAC alternating least squares initialization sensitivity random restarts multi-start global optimization simulated annealing Metropolis-Hastings acceptance ratio detailed balance ergodicity mixing time convergence rate burn-in thinning chain of Markov decision process Bellman equation value iteration policy iteration Q-learning SARSA TD(λ) eligibility traces actor-critic A3C PPO TRPO natural policy gradient trust region advantage estimation GAE λ-discount returns exploration exploitation ε-greedy softmax UCB Thompson sampling bandit contextual LinUCB Thompson linear regression contextual bandits full information bandit feedback delayed noisy reward shaping potential-based intrinsic curiosity module episodic memory slot attention transformer reinforcement learning world model Dreamer imagination rollout planning latent imagination RSSM recurrent state-space model KL balancing free bits capacity schedule β-VAE disentanglement factorVAE total correlation penalty β-adaptive schedule warmup cosine restart one-cycle super-convergence cyclical learning rate range test discriminative fine-tuning gradual unfreezing slanted triangular learning rates ELMo BERT GPT T5 RoBERTa DeBERTa ELECTRA span corruption masked language modeling next sentence prediction replaced token detection ELECTRA generator discriminator pretraining corpus C4 OSCAR mC4 multilingual CommonCrawl deduplication MinHash LSH shingling n-gram tokenization BPE byte pair encoding SentencePiece Unigram LM vocabulary pruning frequency-based subword units context window length positional encoding absolute relative learned sinusoidal rotary ALiBi linear attention FlashAttention memory-efficient kernel tiling warp-level primitives shared memory bank conflict avoidance coalesced global loads stores occupancy registers per block grid dimensions CUDA streams events synchronization device host pinned pageable unified memory oversubscription thrashing eviction policy LRU LFU ARC CLOCK second chance segment FIFO priority queue heap binary min-max d-ary lazy deletion tombstone compaction level-tiered size-tiered leveled LSM tree write amplification read amplificationc bloom filter false positive rate bits per entry double hashing cuckoo filter counting quotient filter succinct data structure rank select wavelet tree FM-index Burrows-Wheeler transform suffix array suffix tree Ukkonen online construction suffix automaton SAM DAWG minimal deterministic finite automaton DFA NFA ε-transition subset construction determinization minimization Hopcroft partition refinement Moore equivalence classes Myhill-Nerode congruence relation distinguishability language family regular context-free context-sensitive recursively enumerable undecidable halting problem Rice theorem Gödel incompleteness diagonal argument Cantor cardinality countable uncountable aleph null continuum hypothesis ZFC axioms choice well-ordering ordinal cardinal transfinite induction recursion theorem Kleene normal form Church-Turing lambda calculus combinatory logic SKI combinators fixed-point combinator Y Curry paradox Curry Howard correspondence proofs programs propositions types isomorphism natural transformation functor monad applicative functor arrow category theory Yoneda lemma representable presheaf topos Grothendieck site sheaf cohomology étale descent Galois connection adjunction unit counit monadicity Beck tripleability Barr extension theorem Kan extension limit colimit universal property terminal initial pullback pushout product coproduct equalizer coequalizer exponentials internal hom currying adjunction triangle identities naturality square commuting diagram commutative diagram morphism composition associativity identity object isomorphism retract section retraction split mono epi monomorphism epimorphism regular normal special kinds extremal strong balanced unique factorization prime irreducible atomic indecomposable lattice Boolean algebra Heyting algebra intuitionistic logic three-valued Kleene Łukasiewicz many-valued fuzzy logic possibility necessity measure theory σ-algebra measurable sets Lebesgue outer inner completion Borel σ-algebra Radon-Nikodym derivative dominated convergence monotone Fatou Lebesgue differentiation theorem Vitali covering Besicovitch covering Carathéodory extension Riesz representation dual space Banach Hilbert separable complete normed inner product orthogonal complement projection operator compact operator nuclear trace class Hilbert-Schmidt Schatten class p-summing absolutely summing bounded linear continuous open closed dense codense nowhere dense meager first category Baire category theorem complete metric space nowhere locally compact Lindelöf paraccompact Hausdorff regular normal Tychonoff Urysohn lemma Tietze extension theorem Brouwer fixed point theorem invariance of domain Sard theorem degree theory transversality Whitney embedding theorem tubular neighborhood Morse theory handle decomposition Cerf theory catastrophe theory cusp swallowtail butterfly umbilic fold cusp catastrophes dynamical systems flow vector field integral curve tangent bundle cotangent bundle symplectic manifold Poisson bracket Hamiltonian mechanics Lagrangian mechanics variational principle least action Noether theorem conservation laws symmetry group Lie group Lie algebra representation theory weight multiplicity branching rule Clebsch-Gordan Wigner-Eckart theorem angular momentum addition Clebsch-Gordan coefficients Racah coefficients 6j 9j symbols recoupling theory spherical harmonics associated Legendre functions Gegenbauer polynomials Jacobi polynomials hypergeometric function confluent Kummer Tricomi Appell Lauricella multivariable Meijer G Fox H Wright generalized Wright I-function H-function multivariate Lauricella F_A F_B F_C F_D F_D analytic continuation monodromy differential equations Fuchsian regular singular irregular singular local theory global theory Riemann-Hilbert problem monodromy group accessory parameters Painlevé transcendents Painlevé I-VI isomonodromic deformations Lax pair zero curvature compatibility condition Bäcklund transformation Darboux transformation Hirota bilinear method tau function Hirota D-operator Plücker relations KP hierarchy KdV hierarchy Toda lattice Calogero-Moser system Sutherland model trigonometric rational elliptic potential Lax matrix spectral curve involution commuting flows bi-Hamiltonian structure Magri-Marsden theorem Poisson pencil recursion operator hereditary operator Lenard chain Hamiltonian hierarchies integrable systems Liouville integrability complete integrability Arnold-Liouville theorem action-angle variables KAM theorem Kolmogorov Arnold-Moser perturbation theory small divisors Melnikov function separatrix splitting homoclinic heteroclinic intersections transverse tangency genericity structural stability Smale horseshoe symbolic dynamics shift map topological conjugacy entropy topological metric entropy measure-theoretic entropy Kolmogorov-Sinai Pesin theory Lyapunov exponents Oseledets multiplicative ergodic theorem Furstenberg-Kesten theorem random matrix theory Wigner semicircle law Marchenko-Pastur law Tracy-Widom distribution GUE GOE GSE circular ensembles Dyson Brownian motion eigenvalue spacing distribution level repulsion universality local law concentration of measure Levy lemma Gaussian concentration isoperimetric inequality log-concave measures Brascamp-Lieb inequality Bakry-Émery curvature dimension CD(K,N) Lott-Sturm-Villani theory Wasserstein distance optimal transport Monge problem Kantorovich relaxation dual formulation c-convexity Alexandrov theory Wulff construction anisotropic surface tension geometric measure theory perimeter BV functions sets of finite perimeter De Giorgi structure theorem coarea formula Gauss-Green theorem divergence theorem Stokes theorem Green’s theorem Poincaré inequality Sobolev embedding Rellich-Kondrachov compactness Moser iteration Gagliardo-Nirenberg interpolation Trudinger-Moser inequality exponential integrability Brezis-Gallouet logarithmic Sobolev inequality Herbst inequality Gaussian measure ultracontractivity heat kernel Gaussian bounds Davies-Gaffney perturbation theory Kato class Feynman-Kac formula Feynman path integral Wiener measure Brownian bridge Ornstein-Uhlenbeck process geometric Brownian motion Black-Scholes model Merton model option pricing Greeks delta gamma theta vega rho hedging delta-gamma hedging static replication dynamic replication self-financing portfolio no-arbitrage theorem fundamental theorem asset pricing risk-neutral measure equivalent martingale measure change of measure Girsanov theorem Radon-Nikodym derivative stochastic integral Itô calculus quadratic variation semimartingale local martingale Doob-Meyer decomposition compensator predictable projection optional projection Snell envelope optimal stopping American option perpetual option finite horizon exercise boundary free boundary Stefan problem obstacle problem variational inequality complementarity condition complementarity slackness linear complementarity problem LCP Lemke algorithm principal pivoting method interior point method path-following predictor-corrector Mehrotra primal-dual affine scaling Nesterov-Todd scaling matrix KKT matrix Schur complement Cholesky LDLT factorization pivoting stability condition number preconditioning incomplete factorization ILU IC AMG algebraic multigrid smoothers interpolation restriction prolongation operator Galerkin coarse grid correction V-cycle W-cycle F-cycle cascadic multilevel multigrid h-multigrid p-adaptivity hp-adaptivity spectral element method spectral method Fourier Chebyshev Hermite Laguerre sinc prolate spheroidal wavelet basis Daubechies orthogonal compactly supported vanishing moments scaling function wavelet transform continuous discrete lifting factorization perfect reconstruction filter bank quadrature mirror filter orthogonal QMF biorthogonal Cohen-Daubechies-Vial basis biorthogonal spline wavelet lifting scheme second generation wavelets custom vanishing moments adaptivity matching pursuit orthogonal matching pursuit basis pursuit denoising compressed sensing restricted isometry property RIP null space property NSP spark coherence mutual coherence incoherence dictionary learning K-SVD sparse coding autoencoder VAE variational autoencoder reparameterization trick ELBO bound importance sampling IWAE importance weighted autoencoder hierarchical latent variable normalizing flow coupling layer autoregressive flow residual flow continuous normalizing flow ODE solver adjoint method trace estimator Hutchinson estimator stochastic trace log-determinant matrix function approximation Chebyshev polynomial Krylov subspace GMRES BiCGSTAB QMR Arnoldi Lanczos restarted deflation shift-and-invert spectral transformation preconditioning domain decomposition Schwarz additive multiplicative FETI BDDC mortar method Nitsche method penalty method weak enforcement essential boundary conditions natural boundary conditions mixed formulation saddle point inf-sup condition Babuška-Brezzi stability Ladyzhenskaya-Babuška-Brezzi theorem Taylor-Hood element P2-P1 mini element P1-bubble stabilized methods streamline diffusion Petrov-Galerkin SUPG GLS PSPG residual-based pressure stabilization artificial compressibility penalty-projection fractional step Chorin Temam projection method Uzawa iteration augmented Lagrangian penalty method Barzilai-Borwein spectral step size nonmonotone line search Armijo backtracking Wolfe conditions Zoutendijk theorem descent lemma gradient Lipschitz smoothness strong convexity smoothness interpolation inequality Baillon-Haddad theorem co-coercivity self-concordance barrier parameter Newton decrement damped Newton path-following central path complementarity measure slack variable primal-dual interior point symmetric formulation Nesterov-Todd scaling matrix Schur complement Cholesky LDLT factorization pivoting stability condition number preconditioning incomplete factorization ILU IC AMG algebraic multigrid smoothers interpolation restriction prolongation operator Galerkin coarse grid correction V-cycle W-cycle F-cycle cascadic multilevel multigrid h-multigrid p-adaptivity hp-adaptivity spectral element method spectral method Fourier Chebyshev Hermite Laguerre sinc prolate spheroidal wavelet basis Daubechies orthogonal compactly supported vanishing moments scaling function wavelet transform continuous discrete lifting factorization perfect reconstruction filter bank quadrature mirror filter orthogonal QMF biorthogonal Cohen-Daubechies-Vial basis biorthogonal spline wavelet lifting scheme second generation wavelets custom vanishing moments adaptivity matching pursuit orthogonal matching pursuit basis pursuit denoising compressed sensing restricted isometry property RIP null space property NSP spark coherence mutual coherence incoherence dictionary learning K-SVD sparse coding autoencoder VAE variational autoencoder reparameterization trick ELBO bound importance sampling IWAE importance weighted autoencoder hierarchical latent variable normalizing flow coupling layer autoregressive flow residual flow continuous normalizing flow ODE solver adjoint method trace estimator Hutchinson estimator stochastic trace log-determinant matrix function approximation Chebyshev polynomial Krylov subspace GMRES BiCGSTAB QMR Arnoldi Lanczos restarted deflation shift-and-invert spectral transformation preconditioning domain decomposition Schwarz additive multiplicative FETI BDDC mortar method Nitsche method penalty method weak enforcement essential boundary conditions natural boundary conditions mixed formulation saddle point inf-sup condition Babuška-Brezzi stability Ladyzhenskaya-Babuška-Brezzi theorem Taylor-Hood element P2-P1 mini element P1-bubble stabilized methods streamline diffusion Petrov-Galerkin SUPG GLS PSPG residual-based pressure stabilization artificial compressibility penalty-projection fractional step Chorin Temam projection method Uzawa iteration augmented Lagrangian penalty method Barzilai-Borwein spectral step size nonmonotone line search Armijo backtracking Wolfe conditions Zoutendijk theorem descent lemma gradient Lipschitz smoothness strong convexity smoothness interpolation inequality Baillon-Haddad theorem co-coercivity self-concordance barrier parameter Newton decrement damped Newton path-following central path complementarity measure slack variable primal-dual interior point symmetric formulation Nesterov-Todd scaling matrix Schur complement Cholesky LDLT factorization pivoting stability condition number preconditioning incomplete factorization ILU IC AMG algebraic multigrid smoothers interpolation restriction prolongation operator Galerkin coarse grid correction V-cycle W-cycle F-cycle cascadic multilevel multigrid h-multigrid p-adaptivity hp-adaptivity spectral element method spectral method Fourier Chebyshev Hermite Laguerre sinc prolate spheroidal wavelet basis Daubechies orthogonal compactly supported vanishing moments scaling function wavelet transform continuous discrete lifting factorization perfect reconstruction filter bank quadrature mirror filter orthogonal QMF biorthogonal Cohen-Daubechies-Vial basis biorthogonal spline wavelet lifting scheme second generation wavelets custom vanishing moments adaptivity matching pursuit orthogonal matching pursuit basis pursuit denoising compressed sensing restricted isometry property RIP null space property NSP spark coherence mutual coherence incoherence dictionary learning K-SVD sparse coding autoencoder VAE variational autoencoder reparameterization trick ELBO bound importance sampling IWAE importance weighted autoencoder hierarchical latent variable normalizing flow coupling layer autoregressive flow residual flow continuous normalizing flow ODE solver adjoint method trace estimator Hutchinson estimator stochastic trace log-determinant matrix function approximation Chebyshev polynomial Krylov subspace GMRES BiCGSTAB QMR Arnoldi Lanczos restarted deflation shift-and-invert spectral transformation preconditioning domain decomposition Schwarz additive multiplicative FETI BDDC mortar method Nitsche method penalty method weak enforcement essential boundary conditions natural boundary conditions mixed formulation saddle point inf-sup condition Babuška-Brezzi stability Ladyzhenskaya-Babuška-Brezzi theorem Taylor-Hood element P2-P1 mini element P1-bubble stabilized methods streamline diffusion Petrov-Galerkin SUPG GLS PSPG residual-based pressure stabilization artificial compressibility penalty-projection fractional step Chorin Temam projection method Uzawa iteration augmented Lagrangian penalty method Barzilai-Borwein spectral step size nonmonotone line search Armijo backtracking Wolfe conditions Zoutendijk theorem descent lemma gradient Lipschitz smoothness strong convexity smoothness interpolation inequality Baillon-Haddad theorem co-coercivity self-concordance barrier parameter Newton decrement damped Newton path-following central path complementarity measure slack variable primal-dual interior point symmetric formulation Nesterov-Todd scaling matrix Schur complement Cholesky LDLT factorization pivoting stability condition number preconditioning incomplete factorization ILU IC AMG algebraic multigrid smoothers interpolation restriction prolongation operator Galerkin coarse grid correction V-cycle W-cycle F-cycle cascadic multilevel multigrid h-multigrid p-adaptivity hp-adaptivity spectral element method spectral method Fourier Chebyshev Hermite Laguerre sinc prolate spheroidal wavelet basis Daubechies orthogonal compactly supported vanishing moments scaling function wavelet transform continuous discrete lifting factorization perfect reconstruction filter bank quadrature mirror filter orthogonal QMF biorthogonal Cohen-Daubechies-Vial basis biorthogonal spline wavelet lifting scheme second generation wavelets custom vanishing moments adaptivity matching pursuit orthogonal matching pursuit basis pursuit denoising compressed sensing restricted isometry property RIP null space property NSP spark coherence mutual coherence incoherence dictionary learning K-SVD sparse coding autoencoder VAE variational autoencoder reparameterization trick ELBO bound importance sampling IWAE importance weighted autoencoder hierarchical latent variable normalizing flow coupling layer autoregressive flow residual flow continuous normalizing flow ODE solver adjoint method trace estimator Hutchinson estimator stochastic trace log-determinant matrix function approximation Chebyshev polynomial Krylov subspace GMRES BiCGSTAB QMR Arnoldi Lanczos restarted deflation shift-and-invert spectral transformation preconditioning domain decomposition Schwarz additive multiplicative FETI BDDC mortar method Nitsche method penalty method weak enforcement essential boundary conditions natural boundary conditions mixed formulation saddle point inf-sup condition Babuška-Brezzi stability Ladyzhenskaya-Babuška-Brezzi theorem Taylor-Hood element P2-P1 mini element P1-bubble stabilized methods streamline diffusion Petrov-Galerkin SUPG GLS PSPG residual-based pressure stabilization artificial compressibility penalty-projection fractional step Chorin Temam projection method Uzawa iteration augmented Lagrangian penalty method Barzilai-Borwein spectral step size nonmonotone line search Armijo backtracking Wolfe conditions Zoutendijk theorem descent lemma gradient Lipschitz smoothness strong convexity smoothness interpolation inequality Baillon-Haddad theorem co-coercivity self-concordance barrier parameter Newton decrement damped Newton path-following central path complementarity measure slack variable primal-dual interior point symmetric formulation Nesterov-Todd scaling matrix Schur complement Cholesky LDLT factorization pivoting stability condition number preconditioning incomplete factorization ILU IC AMG algebraic multigrid smoothers interpolation restriction prolongation operator Galerkin coarse grid correction V-cycle W-cycle F-cycle cascadic multilevel multigrid h-multigrid p-adaptivity hp-adaptivity spectral element method spectral method Fourier Chebyshev Hermite Laguerre sinc prolate spheroidal wavelet basis Daubechies orthogonal compactly supported vanishing moments scaling function wavelet transform continuous discrete lifting factorization perfect reconstruction filter bank quadrature mirror filter orthogonal QMF biorthogonal Cohen-Daubechies-Vial basis biorthogonal spline wavelet lifting scheme second generation wavelets custom vanishing moments adaptivity matching pursuit orthogonal matching pursuit basis pursuit denoising compressed sensing restricted isometry property RIP null space property NSP spark coherence mutual coherence incoherence dictionary learning K-SVD sparse coding autoencoder VAE variational autoencoder reparameterization trick ELBO bound importance sampling IWAE importance weighted autoencoder hierarchical latent variable normalizing flow coupling layer autoregressive flow residual flow continuous normalizing flow ODE solver adjoint method trace estimator Hutchinson estimator stochastic trace log-determinant matrix function approximation Chebyshev polynomial Krylov subspace GMRES BiCGSTAB QMR Arnoldi Lanczos restarted deflation shift-and-invert spectral transformation preconditioning domain decomposition Schwarz additive multiplicative FETI BDDC mortar method Nitsche method penalty method weak enforcement essential boundary conditions natural boundary conditions mixed formulation saddle point inf-sup condition Babuška-Brezzi stability Ladyzhenskaya-Babuška-Brezzi theorem Taylor-Hood element P2-P1 mini element P1-bubble stabilized methods streamline diffusion Petrov-Galerkin SUPG GLS PSPG residual-based pressure stabilization artificial compressibility penalty-projection fractional step Chorin Temam projection method Uzawa iteration augmented Lagrangian penalty method Barzilai-Borwein spectral step size nonmonotone line search Armijo backtracking Wolfe conditions Zoutendijk theorem descent lemma gradient Lipschitz smoothness strong convexity smoothness interpolation inequality Baillon-Haddad theorem co-coercivity self-concordance barrier parameter Newton decrement damped Newton path-following central path complementarity measure slack variable primal-dual interior point symmetric formulation Nesterov-Todd scaling matrix Schur complement Cholesky LDLT factorization pivoting stability condition number preconditioning incomplete factorization ILU IC AMG algebraic multigrid smoothers interpolation restriction prolongation operator Galerkin coarse grid correction V-cycle W-cycle F-cycle cascadic multilevel multigrid h-multigrid p-adaptivity hp-adaptivity spectral element method spectral method Fourier Chebyshev Hermite Laguerre sinc prolate spheroidal wavelet basis Daubechies orthogonal compactly supported vanishing moments scaling function wavelet transform continuous discrete lifting factorization perfect reconstruction filter bank quadrature mirror filter orthogonal QMF biorthogonal Cohen-Daubechies-Vial basis biorthogonal spline wavelet lifting scheme second generation wavelets custom vanishing moments adaptivity matching pursuit orthogonal matching pursuit basis pursuit denoising compressed sensing restricted isometry property RIP null space property NSP spark coherence mutual coherence incoherence dictionary learning K-SVD sparse coding autoencoder VAE variational autoencoder reparameterization trick ELBO bound importance sampling IWAE importance weighted autoencoder hierarchical latent variable normalizing flow coupling layer autoregressive flow residual flow continuous normalizing flow ODE solver adjoint method trace estimator Hutchinson estimator stochastic trace log-determinant matrix function approximation Chebyshev polynomial Krylov subspace GMRES BiCGSTAB QMR Arnoldi Lanczos restarted deflation shift-and-invert spectral transformation preconditioning domain decomposition Schwarz additive multiplicative FETI BDDC mortar method Nitsche method penalty method weak enforcement essential boundary conditions natural boundary conditions mixed formulation saddle point inf-sup condition Babuška-Brezzi stability Ladyzhenskaya-Babuška-Brezzi theorem Taylor-Hood element P2-P1 mini element P1-bubble stabilized methods streamline diffusion Petrov-Galerkin SUPG GLS PSPG residual-based pressure stabilization artificial compressibility penalty-projection fractional step Chorin Temam projection method Uzawa iteration augmented Lagrangian penalty method Barzilai-Borwein spectral step size nonmonotone line search Armijo backtracking Wolfe conditions Zoutendijk theorem descent lemma gradient Lipschitz smoothness strong convexity smoothness interpolation inequality Baillon-Haddad theorem co-coercivity self-concordance barrier parameter Newton decrement damped Newton path-following central path complementarity measure slack variable primal-dual interior point symmetric formulation Nesterov-Todd scaling matrix Schur complement Cholesky LDLT factorization pivoting stability condition number preconditioning incomplete factorization ILU IC AMG algebraic multigrid smoothers interpolation restriction prolongation operator Galerkin coarse grid correction V-cycle W-cycle F-cycle cascadic multilevel multigrid h-multigrid p-adaptivity hp-adaptivity spectral element method spectral method Fourier Chebyshev Hermite Laguerre sinc prolate spheroidal wavelet basis Daubechies orthogonal compactly supported vanishing moments scaling function wavelet transform continuous discrete lifting factorization perfect reconstruction filter bank quadrature mirror filter orthogonal QMF biorthogonal Cohen-Daubechies-Vial basis biorthogonal spline wavelet lifting scheme second generation wavelets custom vanishing moments adaptivity matching pursuit orthogonal matching pursuit basis pursuit denoising compressed sensing restricted isometry property RIP null space property NSP
spark coherence mutual coherence incoherence dictionary learning K-SVD sparse coding autoencoder VAE variational autoencoder reparameterization trick ELBO bound importance sampling IWAE importance weighted autoencoder hierarchical latent variable normalizing flow coupling layer autoregressive flow residual flow continuous normalizing flow ODE solver adjoint method trace estimator Hutchinson estimator stochastic trace log-determinant matrix function approximation Chebyshev polynomial Krylov subspace GMRES BiCGSTAB QMR Arnoldi Lanczos restarted deflation shift-and-invert spectral transformation preconditioning domain decomposition Schwarz additive multiplicative FETI BDDC mortar method Nitsche method penalty method weak enforcement essential boundary conditions natural boundary conditions mixed formulation saddle point inf-sup condition Babuška-Brezzi stability Ladyzhenskaya-Babuška-Brezzi theorem Taylor-Hood element P2-P1 mini element P1-bubble stabilized methods streamline diffusion Petrov-Galerkin SUPG GLS PSPG residual-based pressure stabilization artificial compressibility penalty-projection fractional step Chorin Temam projection method Uzawa iteration augmented Lagrangian penalty method Barzilai-Borwein spectral step size nonmonotone line search Armijo backtracking Wolfe conditions Zoutendijk theorem descent lemma gradient Lipschitz smoothness strong convexity smoothness interpolation inequality Baillon-Haddad theorem co-coercivity self-concordance barrier parameter Newton decrement damped Newton path-following central path complementarity measure slack variable primal-dual interior point symmetric formulation Nesterov-Todd scaling matrix Schur complement Cholesky LDLT factorization pivoting stability condition number preconditioning incomplete factorization ILU IC AMG algebraic multigrid smoothers interpolation restriction prolongation operator Galerkin coarse grid correction V-cycle W-cycle F-cycle cascadic multilevel multigrid h-multigrid p-adaptivity hp-adaptivity spectral element method spectral method Fourier Chebyshev Hermite Laguerre sinc prolate spheroidal wavelet basis Daubechies orthogonal compactly supported vanishing moments scaling function wavelet transform continuous discrete lifting factorization perfect reconstruction filter bank quadrature mirror filter orthogonal QMF biorthogonal Cohen-Daubechies-Vial basis biorthogonal spline wavelet lifting scheme second generation wavelets custom vanishing moments adaptivity matching pursuit orthogonal matching pursuit basis pursuit denoising compressed sensing restricted isometry property RIP null space property NSP spark coherence mutual coherence incoherence dictionary learning K-SVD sparse coding autoencoder VAE variational autoencoder reparameterization trick ELBO bound importance sampling IWAE importance weighted autoencoder hierarchical latent variable normalizing flow coupling layer autoregressive flow residual flow continuous normalizing flow ODE solver adjoint method trace estimator Hutchinson estimator stochastic trace log-determinant matrix function approximation Chebyshev polynomial Krylov subspace GMRES BiCGSTAB QMR Arnoldi Lanczos restarted deflation shift-and-invert spectral transformation preconditioning domain decomposition Schwarz additive multiplicative FETI BDDC mortar method Nitsche method penalty method weak enforcement essential boundary conditions natural boundary conditions mixed formulation saddle point inf-sup condition Babuška-Brezzi stability Ladyzhenskaya-Babuška-Brezzi theorem Taylor-Hood element P2-P1 mini element P1-bubble stabilized methods streamline diffusion Petrov-Galerkin SUPG GLS PSPG residual-based pressure stabilization artificial compressibility penalty-projection fractional step Chorin Temam projection method Uzawa iteration augmented Lagrangian penalty method Barzilai-Borwein spectral step size nonmonotone line search Armijo backtracking Wolfe conditions Zoutendijk theorem descent lemma gradient Lipschitz smoothness strong convexity smoothness interpolation inequality Baillon-Haddad theorem co-coercivity self-concordance barrier parameter Newton decrement damped Newton path-following central path complementarity measure slack variable primal-dual interior point symmetric formulation Nesterov-Todd scaling matrix Schur complement Cholesky LDLT factorization pivoting stability condition number preconditioning incomplete factorization ILU IC AMG algebraic multigrid smoothers interpolation restriction prolongation operator Galerkin coarse grid correction V-cycle W-cycle F-cycle cascadic multilevel multigrid h-multigrid p-adaptivity hp-adaptivity spectral element method spectral method Fourier Chebyshev Hermite Laguerre sinc prolate spheroidal wavelet basis Daubechies orthogonal compactly supported vanishing moments scaling function wavelet transform continuous discrete lifting factorization perfect reconstruction filter bank quadrature mirror filter orthogonal QMF biorthogonal Cohen-Daubechies-Vial basis biorthogonal spline wavelet lifting scheme second generation wavelets custom vanishing moments adaptivity matching pursuit orthogonal matching pursuit basis pursuit denoising compressed sensing restricted isometry property RIP null space property NSP spark coherence mutual coherence incoherence dictionary learning K-SVD sparse coding autoencoder VAE variational autoencoder reparameterization trick ELBO bound importance sampling IWAE importance weighted autoencoder hierarchical latent variable normalizing flow coupling layer autoregressive flow residual flow continuous normalizing flow ODE solver adjoint method trace estimator Hutchinson estimator stochastic trace log-determinant matrix function approximation Chebyshev polynomial Krylov subspace GMRES BiCGSTAB QMR Arnoldi Lanczos restarted deflation shift-and-invert spectral transformation preconditioning domain decomposition Schwarz additive multiplicative FETI BDDC mortar method Nitsche method penalty method weak enforcement essential boundary conditions natural boundary conditions mixed formulation saddle point inf-sup condition Babuška-Brezzi stability Ladyzhenskaya-Babuška-Brezzi theorem Taylor-Hood element P2-P1 mini element P1-bubble stabilized methods streamline diffusion Petrov-Galerkin SUPG GLS PSPG residual-based pressure stabilization artificial compressibility penalty-projection fractional step Chorin Temam projection method Uzawa iteration augmented Lagrangian penalty method Barzilai-Borwein spectral step size nonmonotone line search Armijo backtracking Wolfe conditions Zoutendijk theorem descent lemma gradient Lipschitz smoothness strong convexity smoothness interpolation inequality Baillon-Haddad theorem co-coercivity self-concordance barrier parameter Newton decrement damped Newton path-following central path complementarity measure slack variable primal-dual interior point symmetric formulation Nesterov-Todd scaling matrix Schur complement Cholesky LDLT factorization pivoting stability condition number preconditioning incomplete factorization ILU IC AMG algebraic multigrid smoothers interpolation restriction prolongation operator Galerkin coarse grid correction V-cycle W-cycle F-cycle cascadic multilevel multigrid h-multigrid p-adaptivity hp-adaptivity spectral element method spectral method Fourier Chebyshev Hermite Laguerre sinc prolate spheroidal wavelet basis Daubechies orthogonal compactly supported vanishing moments scaling function wavelet transform continuous discrete lifting factorization perfect reconstruction filter bank quadrature mirror filter orthogonal QMF biorthogonal Cohen-Daubechies-Vial basis biorthogonal spline wavelet lifting scheme second generation wavelets custom vanishing moments adaptivity matching pursuit orthogonal matching pursuit basis pursuit denoising compressed sensing restricted isometry property RIP null space property NSP spark coherence mutual coherence incoherence dictionary learning K-SVD sparse coding autoencoder VAE variational autoencoder reparameterization trick ELBO bound importance sampling IWAE importance weighted autoencoder hierarchical latent variable normalizing flow coupling layer autoregressive flow residual flow continuous normalizing flow ODE solver adjoint method trace estimator Hutchinson estimator stochastic trace log-determinant matrix function approximation Chebyshev polynomial Krylov subspace GMRES BiCGSTAB QMR Arnoldi Lanczos restarted deflation shift-and-invert spectral transformation preconditioning domain decomposition Schwarz additive multiplicative FETI BDDC mortar method Nitsche method penalty method weak enforcement essential boundary conditions natural boundary conditions mixed formulation saddle point inf-sup condition Babuška-Brezzi stability Ladyzhenskaya-Babuška-Brezzi theorem Taylor-Hood element P2-P1 mini element P1-bubble stabilized methods streamline diffusion Petrov-Galerkin SUPG GLS PSPG residual-based pressure stabilization artificial compressibility penalty-projection fractional step Chorin Temam projection method Uzawa iteration augmented Lagrangian penalty method Barzilai-Borwein spectral step size nonmonotone line search Armijo backtracking Wolfe conditions Zoutendijk theorem descent lemma gradient Lipschitz smoothness strong convexity smoothness interpolation inequality Baillon-Haddad theorem co-coercivity self-concordance barrier parameter Newton decrement damped Newton path-following central path complementarity measure slack variable primal-dual interior point symmetric formulation Nesterov-Todd scaling matrix Schur complement Cholesky LDLT factorization pivoting stability condition number preconditioning incomplete factorization ILU IC AMG algebraic multigrid smoothers interpolation restriction prolongation operator Galerkin coarse grid correction V-cycle W-cycle F-cycle cascadic multilevel multigrid h-multigrid p-adaptivity hp-adaptivity spectral element method spectral method Fourier Chebyshev Hermite Laguerre sinc prolate spheroidal wavelet basis Daubechies orthogonal compactly supported vanishing moments scaling function wavelet transform continuous discrete lifting factorization perfect reconstruction filter bank quadrature mirror filter orthogonal QMF biorthogonal Cohen-Daubechies-Vial basis biorthogonal spline wavelet lifting scheme second generation wavelets custom vanishing moments adaptivity matching pursuit orthogonal matching pursuit basis pursuit denoising compressed sensing restricted isometry property RIP null space property NSP spark coherence mutual coherence incoherence dictionary learning K-SVD sparse coding autoencoder VAE variational autoencoder reparameterization trick ELBO bound importance sampling IWAE importance weighted autoencoder hierarchical latent variable normalizing flow coupling layer autoregressive flow residual flow continuous normalizing flow ODE solver adjoint method trace estimator Hutchinson estimator stochastic trace log-determinant matrix function approximation Chebyshev polynomial Krylov subspace GMRES BiCGSTAB QMR Arnoldi Lanczos restarted deflation shift-and-invert spectral transformation preconditioning domain decomposition Schwarz additive multiplicative FETI BDDC mortar method Nitsche method penalty method weak enforcement essential boundary conditions natural boundary conditions mixed formulation saddle point inf-sup condition Babuška-Brezzi stability Ladyzhenskaya-Babuška-Brezzi theorem Taylor-Hood element P2-P1 mini element P1-bubble stabilized methods streamline diffusion Petrov-Galerkin SUPG GLS PSPG residual-based pressure stabilization artificial compressibility penalty-projection fractional step Chorin Temam projection method Uzawa iteration augmented Lagrangian penalty method Barzilai-Borwein spectral step size nonmonotone line search Armijo backtracking Wolfe conditions Zoutendijk theorem descent lemma gradient Lipschitz smoothness strong convexity smoothness interpolation inequality Baillon-Haddad theorem co-coercivity self-concordance barrier parameter Newton decrement damped Newton path-following central path complementarity measure slack variable primal-dual interior point symmetric formulation Nesterov-Todd scaling matrix Schur complement Cholesky LDLT factorization pivoting stability condition number preconditioning incomplete factorization ILU IC AMG algebraic multigrid smoothers interpolation restriction prolongation operator Galerkin coarse grid correction V-cycle W-cycle F-cycle cascadic multilevel multigrid h-multigrid p-adaptivity hp-adaptivity spectral element method spectral method Fourier Chebyshev Hermite Laguerre sinc prolate spheroidal wavelet basis Daubechies orthogonal compactly supported vanishing moments scaling function wavelet transform continuous discrete lifting factorization perfect reconstruction filter bank quadrature mirror filter orthogonal QMF biorthogonal Cohen-Daubechies-Vial basis biorthogonal spline wavelet lifting scheme second generation wavelets custom vanishing moments adaptivity matching pursuit orthogonal matching pursuit basis pursuit denoising compressed sensing restricted isometry property RIP null space property NSP spark coherence mutual coherence incoherence dictionary learning K-SVD sparse coding autoencoder VAE variational autoencoder reparameterization trick ELBO bound importance sampling IWAE importance weighted autoencoder hierarchical latent variable normalizing flow coupling layer autoregressive flow residual flow continuous normalizing flow ODE solver adjoint method trace estimator Hutchinson estimator stochastic trace log-determinant matrix function approximation Chebyshev polynomial Krylov subspace GMRES BiCGSTAB QMR Arnoldi Lanczos restarted deflation shift-and-invert spectral transformation preconditioning domain decomposition Schwarz additive multiplicative FETI BDDC mortar method Nitsche method penalty method weak enforcement essential boundary conditions natural boundary conditions mixed formulation saddle point inf-sup condition Babuška-Brezzi stability Ladyzhenskaya-Babuška-Brezzi theorem Taylor-Hood element P2-P1 mini element P1-bubble stabilized methods streamline diffusion Petrov-Galerkin SUPG GLS PSPG residual-based pressure stabilization artificial compressibility penalty-projection fractional step Chorin Temam projection method Uzawa iteration augmented Lagrangian penalty method Barzilai-Borwein spectral step size nonmonotone line search Armijo backtracking Wolfe conditions Zoutendijk theorem descent lemma gradient Lipschitz smoothness strong convexity smoothness interpolation inequality Baillon-Haddad theorem co-coercivity self-concordance barrier parameter Newton decrement damped Newton path-following central path complementarity measure slack variable primal-dual interior point symmetric formulation Nesterov-Todd scaling matrix Schur complement Cholesky LDLT factorization pivoting stability condition number preconditioning incomplete factorization ILU IC AMG algebraic multigrid smoothers interpolation restriction prolongation operator Galerkin coarse grid correction V-cycle W-cycle F-cycle cascadic multilevel multigrid h-multigrid p-adaptivity hp-adaptivity spectral element method spectral method Fourier Chebyshev Hermite Laguerre sinc prolate spheroidal wavelet basis Daubechies orthogonal compactly supported vanishing moments scaling function wavelet transform continuous discrete lifting factorization perfect reconstruction filter bank quadrature mirror filter orthogonal QMF biorthogonal Cohen-Daubechies-Vial basis biorthogonal spline wavelet lifting scheme second generation wavelets custom vanishing moments adaptivity matching pursuit orthogonal matching pursuit basis pursuit denoising compressed sensing restricted isometry property RIP null space property NSP spark coherence mutual coherence incoherence dictionary learning K-SVD sparse coding autoencoder VAE variational autoencoder reparameterization trick ELBO bound importance sampling IWAE importance weighted autoencoder hierarchical latent variable normalizing flow coupling layer autoregressive flow residual flow continuous normalizing flow ODE solver adjoint method trace estimator Hutchinson estimator stochastic trace log-determinant matrix function approximation Chebyshev polynomial Krylov subspace GMRES BiCGSTAB QMR Arnoldi Lanczos restarted deflation shift-and-invert spectral transformation preconditioning domain decomposition Schwarz additive multiplicative FETI BDDC mortar method Nitsche method penalty method weak enforcement essential boundary conditions natural boundary conditions mixed formulation saddle point inf-sup condition Babuška-Brezzi stability Ladyzhenskaya-Babuška-Brezzi theorem Taylor-Hood element P2-P1 mini element P1-bubble stabilized methods streamline diffusion Petrov-Galerkin SUPG GLS PSPG residual-based pressure stabilization artificial compressibility penalty-projection fractional step Chorin Temam projection method Uzawa iteration augmented Lagrangian penalty method Barzilai-Borwein spectral step size nonmonotone line search Armijo backtracking Wolfe conditions Zoutendijk theorem descent lemma gradient Lipschitz smoothness strong convexity smoothness interpolation inequality Baillon-Haddad theorem co-coercivity self-concordance barrier parameter Newton decrement damped Newton path-following central path complementarity measure slack variable primal-dual interior point symmetric formulation Nesterov-Todd scaling matrix Schur complement Cholesky LDLT factorization pivoting stability condition number preconditioning incomplete factorization ILU IC AMG algebraic multigrid smoothers interpolation restriction prolongation operator Galerkin coarse grid correction V-cycle W-cycle F-cycle cascadic multilevel multigrid h-multigrid p-adaptivity hp-adaptivity spectral element method spectral method Fourier Chebyshev Hermite Laguerre sinc prolate spheroidal wavelet basis Daubechies orthogonal compactly supported vanishing moments scaling function wavelet transform continuous discrete lifting factorization perfect reconstruction filter bank quadrature mirror filter orthogonal QMF biorthogonal Cohen-Daubechies-Vial basis biorthogonal spline wavelet lifting scheme second generation wavelets custom vanishing moments adaptivity matching pursuit orthogonal matching pursuit basis pursuit denoising compressed sensing restricted isometry property RIP null space property NSP spark coherence mutual coherence incoherence dictionary learning K-SVD sparse coding autoencoder VAE variational autoencoder reparameterization trick ELBO bound importance sampling IWAE importance weighted autoencoder hierarchical latent variable normalizing flow coupling layer autoregressive flow residual flow continuous normalizing flow ODE solver adjoint method trace estimator Hutchinson estimator stochastic trace log-determinant matrix function approximation Chebyshev polynomial Krylov subspace GMRES BiCGSTAB QMR Arnoldi Lanczos restarted deflation shift-and-invert spectral transformation preconditioning domain decomposition Schwarz additive multiplicative FETI BDDC mortar method Nitsche method penalty method weak enforcement essential boundary conditions natural boundary conditions mixed formulation saddle point inf-sup condition Babuška-Brezzi stability Ladyzhenskaya-Babuška-Brezzi theorem Taylor-Hood element P2-P1 mini element P1-bubble stabilized methods streamline diffusion Petrov-Galerkin SUPG GLS PSPG residual-based pressure stabilization artificial compressibility penalty-projection fractional step Chorin Temam projection method Uzawa iteration augmented Lagrangian penalty method Barzilai-Borwein spectral step size nonmonotone line search Armijo backtracking Wolfe conditions Zoutendijk theorem descent lemma gradient Lipschitz smoothness strong convexity smoothness interpolation inequality Baillon-Haddad theorem co-coercivity self-concordance barrier parameter Newton decrement damped Newton path-following central path complementarity measure slack variable primal-dual interior point symmetric formulation Nesterov-Todd scaling matrix Schur complement Cholesky LDLT factorization pivoting stability condition number preconditioning incomplete factorization ILU IC AMG algebraic multigrid smoothers interpolation restriction prolongation operator Galerkin coarse grid correction V-cycle W-cycle F-cycle cascadic multilevel multigrid h-multigrid p-adaptivity hp-adaptivity spectral element method spectral method Fourier Chebyshev Hermite Laguerre sinc prolate spheroidal wavelet basis Daubechies orthogonal compactly supported vanishing moments scaling function wavelet transform continuous discrete lifting factorization perfect reconstruction filter bank quadrature mirror filter orthogonal QMF biorthogonal Cohen-Daubechies-Vial basis biorthogonal spline wavelet lifting scheme second generation wavelets custom vanishing moments adaptivity matching pursuit orthogonal matching pursuit basis pursuit denoising compressed sensing restricted isometry property RIP null space property NSP spark coherence mutual coherence incoherence dictionary learning K-SVD sparse coding autoencoder VAE variational autoencoder reparameterization trick ELBO bound importance sampling IWAE importance weighted autoencoder hierarchical latent variable normalizing flow coupling layer autoregressive flow residual flow continuous normalizing flow ODE solver adjoint method trace estimator Hutchinson estimator stochastic trace log-determinant matrix function approximation Chebyshev polynomial Krylov subspace GMRES |