A comparison of some ODE solvers which require Jacobian evaluations |
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| Authors: | J.D. Day D.N.P. Murthy |
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| Affiliation: | Department of Mechanical Engineering, University of Queensland, St. Lucia, Brisbane, Queensland 4067, Australia |
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| Abstract: | A variety of third-order ODE solvers which have a minimum configuration (i.e. minimum work per step) have been numerically tested and the results compared. They include implicit and explicit processes, and share the property that a Jacobian matrix must be evaluated at least once during the integration. Some of these processes have not been previously described in the literature. |
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| Keywords: | Stiff equations Rosenbrock method multi-Jacobian method occasional Jacobian method single Jacobian method |
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