Randomized Quasi-Optimal Local Approximation Spaces in Time
DOI10.1137/22m1481002arXiv2203.06276OpenAlexW4376878262MaRDI QIDQ6097875
Unnamed Author, Julia Schleuß, Kathrin Smetana
Publication date: 7 June 2023
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.06276
Probabilistic models, generic numerical methods in probability and statistics (65C20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)
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Cites Work
- Unnamed Item
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- Finding structure with randomness: Probabilistic algorithms for constructing approximate matrix decompositions
- CUR matrix decompositions for improved data analysis
- A randomized algorithm for the decomposition of matrices
- Gamblets for opening the complexity-bottleneck of implicit schemes for hyperbolic and parabolic ODEs/PDEs with rough coefficients
- A reduced basis hybrid method for the coupling of parametrized domains represented by fluidic networks
- Compact sets in the space \(L^ p(0,T;B)\)
- Multiscale techniques for parabolic equations
- Statistical analysis of differential equations: introducing probability measures on numerical solutions
- Theory and practice of finite elements.
- Generalized multiscale finite element methods for space-time heterogeneous parabolic equations
- Kolmogorov \(n\)-widths for linear dynamical systems
- A probabilistic model for the numerical solution of initial value problems
- On dynamic mode decomposition: theory and applications
- Über die beste Annäherung von Funktionen einer gegebenen Funktionenklasse
- Résolution d'EDP par un schéma en temps «pararéel »
- Optimal Local Approximation Spaces for Component-Based Static Condensation Procedures
- A Static condensation Reduced Basis Element method : approximation anda posteriorierror estimation
- Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization
- Localized Bases for Finite-Dimensional Homogenization Approximations with Nonseparated Scales and High Contrast
- The AL Basis for the Solution of Elliptic Problems in Heterogeneous Media
- Computational Advertising: Techniques for Targeting Relevant Ads
- Port reduction in parametrized component static condensation: approximation and a posteriori error estimation
- Optimal Local Approximation Spaces for Generalized Finite Element Methods with Application to Multiscale Problems
- Dynamic mode decomposition of numerical and experimental data
- Space-time adaptive wavelet methods for parabolic evolution problems
- Randomized Local Model Order Reduction
- Localization of elliptic multiscale problems
- On generalized balanced realizations
- Relative-Error $CUR$ Matrix Decompositions
- Linear time-variable systems: Balancing and model reduction
- Turbulence and the dynamics of coherent structures. I. Coherent structures
- Principal component analysis in linear systems: Controllability, observability, and model reduction
- ARPACK Users' Guide
- A Localization Strategy for Data Assimilation; Application to State Estimation and Parameter Estimation
- An Introduction to Partial Differential Equations
- A Space-Time Multiscale Method for Parabolic Problems
- Randomized Discrete Empirical Interpolation Method for Nonlinear Model Reduction
- Randomized Sampling for Basis Function Construction in Generalized Finite Element Methods
- Determinantal Point Processes in Randomized Numerical Linear Algebra
- Bayesian Numerical Homogenization
- Error-bounds for balanced model-reduction of linear time-varying systems
- Balanced Truncation of Linear Time-Varying Systems
- MODEL REDUCTION FOR FLUIDS, USING BALANCED PROPER ORTHOGONAL DECOMPOSITION
- Fast monte-carlo algorithms for finding low-rank approximations
- Diffusion Coefficients Estimation for Elliptic Partial Differential Equations
- Optimal Local Approximation Spaces for Parabolic Problems
- A reduced-basis element method
- Galerkin proper orthogonal decomposition methods for parabolic problems
- Novel Design and Analysis of Generalized Finite Element Methods Based on Locally Optimal Spectral Approximations
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