A-stable one-step methods with step-size control for stiff systems of ordinary differential equations |
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| Authors: | René Alt |
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| Institution: | 1. Institut de Programmation, Université Pierre et Marie Curie, Tour 55–65 4 Place Jussieu 75230 Paris, France |
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| Abstract: | Two efficient third-and fourth-order processes for solving the initial value problem for ordinary differential equations are studied. Both are A-stable and so recommended for stiff systems. An economic and efficient way of step-size control is given for each of them. Numerical examples are considered. |
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