Continuous extensions of Rosenbrock-type methods

DOI10.1007/BF02247965zbMath0697.65055OpenAlexW1559157053MaRDI QIDQ911705

Alexander Ostermann

Publication date: 1990

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02247965

zbMATH Keywords

numerical exampleRosenbrock methodsone-step methodcontinuous extensionsdifferential- algebraic equations

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items

Numerical event location techniques in discontinuous differential algebraic equations ⋮ Dense output for extrapolation methods ⋮ Rosenbrock-type methods applied to discontinuous differential systems ⋮ Comparison of the asymptotic stability for multirate Rosenbrock methods ⋮ Forward and adjoint sensitivity analysis with continuous explicit Runge-Kutta schemes ⋮ Construction of a multirate RODAS method for stiff ODEs ⋮ Rosenbrock-Wanner Methods: Construction and Mission

Uses Software

• RODAS

Cites Work

• Unnamed Item
• Unnamed Item
• Error of Rosenbrock methods for stiff problems studied via differential algebraic equations
• A study of Rosenbrock-type methods of high order
• Order conditions for Rosenbrock type methods
• Perturbed collocation and Runge-Kutta methods
• Rosenbrock methods for differential algebraic equations
• Stability Properties of Interpolants for Runge–Kutta Methods
• Natural Continuous Extensions of Runge-Kutta Methods
• Practical Aspects of Interpolation in Runge-Kutta Codes
• An Attempt to Avoid Exact Jacobian and Nonlinear Equations in the Numerical Solution of Stiff Differential Equations
• Interpolants for Runge-Kutta formulas

This page was built for publication: Continuous extensions of Rosenbrock-type methods