A reliable Rosenbrock integrator for stiff differential equations

DOI10.1007/BF02237954zbMath0451.65056MaRDI QIDQ1148109

B. A. Gottwald, Gerhard Wanner

Publication date: 1981

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

numerical resultsstiff differential equationsprogramA-stable formulareliable Rosenbrock integrator

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Software, source code, etc. for problems pertaining to numerical analysis (65-04)

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Cites Work

• Generalized Runge-Kutta methods of order four with stepsize control for stiff ordinary differential equations
• A study of Rosenbrock-type methods of high order
• Order conditions for Rosenbrock type methods
• A new approach to explain the 'high irradiance responses' of photomorphogenesis on the basis of phytochrome
• Comparing numerical methods for stiff systems of O.D.E:s
• A note on a recent result of rational approximations to the exponential function
• A special stability problem for linear multistep methods

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