P-stable modification of the Numerov method

DOI10.1016/0898-1221(88)90260-XzbMath0666.65050OpenAlexW2086360267MaRDI QIDQ1116660

S. H. Smith

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0898-1221(88)90260-x

zbMATH Keywords

P-stabilityinterval of periodicitysecond order periodic initial value problemsfourth order Numerov method

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Cites Work

• High order P-stable formulae for the numerical integration of periodic initial value problems
• Stabilization of Cowell's method
• A Sixth-order P-stable Symmetric Multistep Method for Periodic Initial-value Problems of Second-order Differential Equations
• High-accuracy P-stable Methods for y^″ = f(t, y)
• Symmetric Multistip Methods for Periodic Initial Value Problems

This page was built for publication: P-stable modification of the Numerov method