A SHARP ERROR ESTIMATE FOR THE NUMERICAL SOLUTION OF MULTIVARIATE DIRICHLET PROBLEM FOR THE HEAT EQUATION

DOI10.1081/SAP-100002015zbMath1017.65074MaRDI QIDQ2746372

George A. Anastassiou, Alexander D. Bendikov

Publication date: 3 March 2002

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemheat equationfinite difference

Mathematics Subject Classification ID

Heat equation (35K05) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (1)

On the sharpness of an error bound for a Galerkin method to solve parabolic differential equations

Cites Work

• A sharp error estimate for the numerical solution of a Dirichlet problem for the Poisson equation
• Sharp error bounds for the Crank-Nicolson and Saulyev difference scheme in connection with an initial boundary value problem for the inhomogeneous heat equation
• On the sharpness of error bounds in connection with finite difference schemes on uniform grids for boundary value problems of ordinary differential equations
• Unnamed Item

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