Stability analysis of nonlinear differential sequences generated numerically

DOI10.1016/0898-1221(79)90041-5zbMath0442.65064OpenAlexW2129268273MaRDI QIDQ1143760

R. Leonard Brown

Publication date: 1979

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(79)90041-5

zbMATH Keywords

stabilitydomain of attractionlinear multistep methodsstability regionnon-linear differential equationsLjapunov function

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical investigation of stability of solutions to ordinary differential equations (65L07)

Uses Software

• DIFSUB
• GEAR

Cites Work

• Semi-Implicit Runge-Kutta Procedures with Error Estimates for the Numerical Integration of Stiff Systems of Ordinary Differential Equations
• Stability of Sequences Generated by Nonlinear Differential Systems
• The automatic integration of ordinary differential equations
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