On the stability of semi-implicit methods for ordinary differential equations

1982/06/01 by E. Hairer, G. Bader, Ch. Lubich · 4 citations
Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Simulation and Numerical Methods #Numerical methods for differential equations

paper · doi:10.1007/bf01944478

crossref issued 1982/06/01 · crossref published 1982/06/01 · crossref published-print 1982/06/01 · openalex publication_date 1982/06/01 · crossref created 2005/07/31 · crossref deposited 2020/04/08 · openalex created_date 2025/10/10 · crossref indexed 2026/07/29 · openalex updated_date 2026/07/30

Citations

• Generalized Runge-Kutta methods of order four with stepsize control for stiff ordinary differential equations
• Some general implicit processes for the numerical solution of differential equations

Cited by

• B-convergence results for linearly implicit one step methods
• On the Parametric Instability Caused by Step Size Variation in Runge-Kutta-Nyström Methods
• A study of B-convergence of Runge-Kutta methods
• A Stiff Order Condition Theory for Runge-Kutta Methods Applied to Semilinear ODEs