Stability and Convergence for Non-Linear Difference Schemes are Equivalent

DOI10.1093/imamat/26.2.143zbMath0459.65066OpenAlexW2160480851MaRDI QIDQ3909954

Elemer E. Rosinger

Publication date: 1980

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

Full work available at URL: https://semanticscholar.org/paper/7de4e9faba32048521ee8b1260e48a687e4328b5

zbMATH Keywords

stabilityconvergenceprinciple of uniform boundednessLax-Richtmyer theoremnon-linear difference schemes

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

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