A regularization of nonlinear diffusion equations in a multiresolution framework

DOI10.1002/mma.926zbMath1147.35012OpenAlexW2137307441MaRDI QIDQ5449722

Mariya Zhariy, Maria Joana Soares, Gerd Teschke

Publication date: 18 March 2008

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.926

zbMATH Keywords

implicit Euler methodPerona-Malik equationzero Neumann boundary conditionsemi-discrete formulationoperator-adapted refinable function

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Nonlinear parabolic equations (35K55) Ill-posed problems for PDEs (35R25) Theoretical approximation in context of PDEs (35A35) Special approximation methods (nonlinear Galerkin, etc.) for infinite-dimensional dissipative dynamical systems (37L65) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (2)

Two stable methods with numerical experiments for solving the backward heat equation ⋮ On an inverse problem: recovery of non-smooth solutions to backward heat equation

Cites Work

• Nonorthogonal multiresolution analyses, commutation between projectors and differentiation and divergence-free vector wavelets
• Ten Lectures on Wavelets
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