Approximations of parabolic integro-differential equations using wavelet-Galerkin compression techniques

DOI10.1007/s10543-007-0141-0zbMath1126.65115OpenAlexW2052112469MaRDI QIDQ2458232

Konstantinos Chrysafinos

Publication date: 31 October 2007

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-007-0141-0

zbMATH Keywords

discontinuous Galerkin methoderror estimateminimal regularityparabolic integro-differential equationwavelet compression techniques

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Numerical methods for wavelets (65T60)

Related Items

Collocation approach based on an extended cubic \(B\)-spline for a second-order Volterra partial integrodifferential equation ⋮ A Galerkin method for two-dimensional hyperbolic integro-differential equation with purely integral conditions

Cites Work

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• Wavelet approximations for first kind boundary integral equations on polygons
• Adaptive Finite Element Methods for Parabolic Problems I: A Linear Model Problem
• Time discretization of parabolic problems by the discontinuous Galerkin method
• Finite element methods for parabolic and hyperbolic partial integro-differential equations
• Finite Element Approximation of a Parabolic Integro-Differential Equation with a Weakly Singular Kernel
• On Fully Discrete Galerkin Approximations for Partial Integro-Differential Equations of Parabolic Type
• Numerical solution of parabolic integro-differential equations by the discontinuous Galerkin method
• Wavelet Discretizations of Parabolic Integrodifferential Equations
• Adaptive wavelet methods for elliptic operator equations: Convergence rates
• Error Estimates for Semidiscrete Finite Element Approximations of Linear and Semilinear Parabolic Equations Under Minimal Regularity Assumptions
• Numerical solution of parabolic equations in high dimensions
• Adaptive Wavelet Methods for Linear-Quadratic Elliptic Control Problems: Convergence Rates
• Error Estimates for the Discontinuous Galerkin Methods for Parabolic Equations