Convergence analysis of the ADI scheme for parabolic problems using discrete harmonic functions

DOI10.1134/S096554252202004XOpenAlexW4220870870MaRDI QIDQ2116583

Maksymilian Dryja, Bernard Bialecki, Ryan I. Fernandes

Publication date: 18 March 2022

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s096554252202004x

zbMATH Keywords

convergence analysisheat equationfinite differenceADI

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX)

Cites Work

• Convergence analysis of the finite difference ADI scheme for variable coefficient parabolic problems with nonzero Dirichlet boundary conditions
• Stability and Convergence of the Peaceman-Rachford ADI Method for Initial-Boundary Value Problems
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• Stability of finite-difference schemes for elliptic equations with respect to Dirichlet boundary conditions
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