A comparison of some ODE solvers which require Jacobian evaluations

DOI10.1016/0377-0427(83)90014-6zbMath0521.65050OpenAlexW2028243153MaRDI QIDQ1055174

J. D. Day, D. N. Prabhakar Murthy

Publication date: 1983

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(83)90014-6

zbMATH Keywords

stiff equationsRosenbrock methodcomparison of ODE solversmulti- Jacobian methodoccasional Jacobian methodsingle Jacobian method

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (5)

A minimum configuration fourth-order nonautonomous explicit Rosenbrock method for nonstiff differential equations ⋮ On minimum configuration Rosenbrock methods ⋮ Some minimum configurationL-stable rosenbrock methods with error estimators ⋮ A comparison of some ODE solvers which require Jacobian evaluations ⋮ Run time estimation of the spectral radius of Jacobians

Cites Work

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• A comparison of some ODE solvers which require Jacobian evaluations
• An L(alpha)-stable fourth order Rosenbrock method with error estimator
• Two Classes of Internally S-Stable Generalized Runge-Kutta Processes which Remain Consistent with an Inaccurate Jacobian
• An explicit single-step multi-jacobian method for non stiff ordinary differential equations
• Two classes of explicit generalized runge-kutta processes for non- stiff systems of ordinary differential equations
• Coefficients for the study of Runge-Kutta integration processes

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