New stability theorems concerning one-step numerical methods for ordinary differential equations

DOI10.1016/0378-4754(83)90092-7zbMath0573.65052OpenAlexW1977389418MaRDI QIDQ1062731

Robert Vichnevetsky

Publication date: 1983

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4754(83)90092-7

zbMATH Keywords

stability regionmaximum imaginary boundarymeasure of stabilityone step explicit methods

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05)

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Cites Work

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• Stability charts in the numerical approximation of partial differential equations: A review
• Numerical solution of ordinary differential equations
• Survey of the stability of linear finite difference equations
• The automatic integration of ordinary differential equations