Propagation of round-off errors and the role of stability in numerical methods for linear and nonlinear PDEs

DOI10.1016/0307-904X(85)90019-8zbMath0622.65072MaRDI QIDQ1091088

Elemer E. Rosinger

Publication date: 1985

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

zbMATH Keywords

stabilityconvergenceconsistencyround-off errorsnonlinear approach

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (4)

Wave equation numerical resolution: a comprehensive mechanized proof of a C program ⋮ An implicit difference scheme for a moving boundary hyperbolic problem ⋮ \({\mathcal L}\)-convergence paradox in numerical methods for PDEs ⋮ The time-line interpolation method for large-time-step Godunov-type schemes

Cites Work

• Computational synergetics and mathematical innovation
• Optimal accuracy of unconditionally stable explicit numerical methods for nonlinear evolution PDE's
• The Significance of the Stability of Difference Schemes in Different $l^p $-Spaces
• Equivalence Theorems for Incomplete Spaces: An Appraisal
• Stability Theory for Partial Difference Operators
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