Computational experiments with algorithms for stiff ODEs
Copyright policy )Computational experiments with algorithms for stiff ODEs
The numerical performance of computer codes available to solve stiff systems of ODEs is evaluated. Three widely used codes of Gear/Hindmarsh, Gottwald/Wanner and Deuflhard/Bader are tested by numerous randomly generated examples which permit an arbitrary choice of the position and the number of the eigenvalues of the Jacobian. Besides a detailed evaluation of the results with regard to reliability and efficiency, examples with specified distributions of the eigenvalues and various structures of the ODEs are presented and their influence on the performance of the algorithms is discussed.
- TU Dresden Germany
evaluation, computational experiments, stiff systems, Nonlinear ordinary differential equations and systems, algorithms, test examples, Numerical methods for initial value problems involving ordinary differential equations, comparison of methods, performance criteria
evaluation, computational experiments, stiff systems, Nonlinear ordinary differential equations and systems, algorithms, test examples, Numerical methods for initial value problems involving ordinary differential equations, comparison of methods, performance criteria
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