On the choice of γ for singly-implicit RK or Rosenbrock methods

DOI10.1007/BF01933591zbMath0426.65026OpenAlexW2007739420MaRDI QIDQ3862331

Gerhard Wanner

Publication date: 1980

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01933591

zbMATH Keywords

Rosenbrock methodsRunge-Kutta methodsstability regionsmaximal errorrestricted Pade approximations

Mathematics Subject Classification ID

Padé approximation (41A21) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items

A class of Rosenbrock-type schemes for second-order nonlinear systems of ordinary differential equations, A study of Rosenbrock-type methods of high order, Rosenbrock methods for stiff ODEs: A comparison of Richardson extrapolation and embedding technique, Rosenbrock-Wanner Methods: Construction and Mission

Cites Work

• The real-pole sandwich for rational approximations and oscillation equations
• A note on a recent result of rational approximations to the exponential function
• A special family of Runge-Kutta methods for solving stiff differential equations