A kernel-based method for parabolic equations with nonlinear convection terms

DOI10.1016/0377-0427(91)90011-8zbMath0747.65076OpenAlexW2046544218MaRDI QIDQ1182664

James F. Epperson

Publication date: 28 June 1992

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(91)90011-8

zbMATH Keywords

convergencenumerical resultserror estimatesfinite element methodfinite difference methodGreen's functionStabilitytime discretizationparabolic initial boundary value problemnonlinear convection

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (1)

Fast direct solvers for the heat equation in simple geometries

Cites Work

• On the use of Green's functions for approximating nonlinear parabolic PDE's
• Semigroup linearization for nonlinear parabolic equations
• Some Improved Error Estimates for the Modified Method of Characteristics
• Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures

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