D-stability and Kaps-Rentrop-methods

DOI10.1007/BF02243574zbMath0528.65041OpenAlexW16706082MaRDI QIDQ786514

M. van Veldhuizen

Publication date: 1984

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02243574

zbMATH Keywords

numerical examplesstiff systemD-stabilityRosenbrock methodKaps-Rentrop-methods

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)

Related Items (8)

Partitioned adaptive Runge-Kutta methods for the solution of nonstiff and stiff systems ⋮ ROWMAP -- a ROW-code with Krylov techniques for large stiff ODEs ⋮ Error of Rosenbrock methods for stiff problems studied via differential algebraic equations ⋮ Comparing the contractivity properties of semi-implicit methods ⋮ Global error estimation and control in linearly-implicit parallel two-step peer W-methods ⋮ A strongly A-stable time integration method for solving the nonlinear reaction-diffusion equation ⋮ Qualitative analysis of differential, difference equations, and dynamic equations on time scales ⋮ Rosenbrock-Wanner Methods: Construction and Mission

Cites Work

• Unnamed Item
• Generalized Runge-Kutta methods of order four with stepsize control for stiff ordinary differential equations
• A reliable Rosenbrock integrator for stiff differential equations
• A study of Rosenbrock-type methods of high order
• Instructive experiments with some Runge-Kutta-Rosenbrock methods
• D-Stability
• Implementation of Rosenbrock Methods
• Comparing numerical methods for stiff systems of O.D.E:s

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