Piecewise Tensor Product Wavelet Bases by Extensions and Approximation Rates

DOI10.1007/978-3-319-08159-5_4zbMath1317.65233OpenAlexW2137981613MaRDI QIDQ5256554

Stephan Dahlke, Ulrich Friedrich, Rob P. Stevenson, N. G. Chegini

Publication date: 18 June 2015

Published in: Extraction of Quantifiable Information from Complex Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-08159-5_4

zbMATH Keywords

survey papernumerical experimentnonlinear inverse problemswavelet Galerkin scheme(nonlinear) elliptic and parabolic operator equationsadaptive wavelet frame methodstensor waveletwavelet Rothe scheme

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Inverse problems for PDEs (35R30) Nonlinear elliptic equations (35J60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for wavelets (65T60) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (2)

An efficient approximate residual evaluation in the adaptive tensor product wavelet method ⋮ Regularity of the Parameter-to-State Map of a Parabolic Partial Differential Equation

Cites Work

• Unnamed Item
• Unnamed Item
• An adaptive wavelet method for solving high-dimensional elliptic PDEs
• New stable biorthogonal spline-wavelets on the interval
• Extension of the range of a differentiable function
• Sparse Tensor Product Wavelet Approximation of Singular Functions
• Adaptive wavelet methods for solving operator equations: An overview
• Adaptive wavelet methods for elliptic operator equations: Convergence rates
• Wavelets on Manifolds I: Construction and Domain Decomposition
• Piecewise tensor product wavelet bases by extensions and approximation rates
• Wavelets on manifolds: An optimized construction
• An adaptive wavelet solver for a nonlinear parameter identification problem for a parabolic differential equation with sparsity constraints

This page was built for publication: Piecewise Tensor Product Wavelet Bases by Extensions and Approximation Rates