A Reduced Basis Method for Parameter Functions Using Wavelet Approximations

DOI10.1007/978-3-319-58786-8_5zbMath1448.65113OpenAlexW2751775540MaRDI QIDQ4637151

Antonia Mayerhofer, Karsten Urban

Publication date: 18 April 2018

Published in: Model Reduction of Parametrized Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-58786-8_5

zbMATH Keywords

error estimatorreduced basis method, wavelet approximations

Mathematics Subject Classification ID

Numerical methods for wavelets (65T60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Cites Work

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• A new error bound for reduced basis approximation of parabolic partial differential equations
• Reduced basis methods with adaptive snapshot computations
• Space-time adaptive wavelet methods for parabolic evolution problems
• Reduced Basis Exact Error Estimates with Wavelets
• Wavelet Methods for Elliptic Partial Differential Equations
• An improved error bound for reduced basis approximation of linear parabolic problems
• Reduced basis method for finite volume approximations of parametrized linear evolution equations

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