Laplace Transform Method for Parabolic Problems with Time-Dependent Coefficients

DOI10.1137/110824000zbMath1264.35010OpenAlexW2077752008MaRDI QIDQ4918798

Hyoseop Lee, Dongwoo Sheen, Jin Woo Lee

Publication date: 6 May 2013

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/b37ce5e8e1aace21b1fcfc1056dfc1949a740813

zbMATH Keywords

parallel methoddual variable

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Theoretical approximation in context of PDEs (35A35) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Laplace transform (44A10) Numerical methods for integral transforms (65R10) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (10)

Asynchronous time-parallel method based on Laplace transform ⋮ Fast numerical contour integral method for fractional diffusion equations ⋮ A contour method for time-fractional PDEs and an application to fractional viscoelastic beam equations ⋮ Convergence analysis of iterative Laplace transform methods for the coupled PDEs from regime-switching option pricing ⋮ Second-order and nonuniform time-stepping schemes for time fractional evolution equations with time-space dependent coefficients ⋮ Second-order nonuniform time-stepping schemes for time-fractional evolution equations with general elliptic operator ⋮ Fast Laplace transform methods for free-boundary problems of fractional diffusion equations ⋮ Subdiffusion with a time-dependent coefficient: Analysis and numerical solution ⋮ A Parallel-in-Time Algorithm for High-Order BDF Methods for Diffusion and Subdiffusion Equations ⋮ An ergodic approach to Laplace transforms on time scales

Uses Software

• Sinc-Pack

This page was built for publication: Laplace Transform Method for Parabolic Problems with Time-Dependent Coefficients