On the sharpness of error bounds for the numerical solution of initial boundary value problems by finite difference schemes

DOI10.4171/ZAA/678zbMath0827.65090MaRDI QIDQ1891945

R. J. Nessel, Henning Esser, Steffen J. Goebbels

Publication date: 11 December 1995

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

error boundsfinite difference schemesparabolic equationsCrank-Nicolson methodresonance conditionDuFort-Frankel methodSaulyev method

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15)

Related Items (2)

A sharp error estimate for numerical Fourier fransform of band-limited functions based on windowed samples ⋮ On the sharpness of an error bound for a Galerkin method to solve parabolic differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quantitative extensions of the uniform boundedness principle
• 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
• Approximate Solutions of Parabolic Equations
• On the sharpness of error bounds in connection with finite difference schemes on uniform grids for boundary value problems of ordinary differential equations

This page was built for publication: On the sharpness of error bounds for the numerical solution of initial boundary value problems by finite difference schemes