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Numerical integration of differential equations in the presence of first integrals: observer method

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Busvelle E., Kharab R., Maciejewski A. J., Strelcyn J.-M.

Applicationes Mathematicae

1993-1995

tom 22

nr 3

373-418

We introduce a simple and powerful procedure-the observer method-in order to obtain a reliable method of numerical integration over an arbitrary long interval of time for systems of ordinary differential equations having first integrals. This aim is achieved by a modification of the original system such that the level manifold of the first integrals becomes a local attractor. We provide a theoretical justification of this procedure. We report many tests and examples dealing with a large spectrum of systems with different dynamical behaviour. The comparison with standard and symplectic methods of integration is also provided.

Ograniczanie wyników

1 Applicationes Mathematicae

1 Busvelle E.

1 Kharab R.

1 Maciejewski A. J.

1 Strelcyn J.-M.

1 1994

Wyniki wyszukiwania

Numerical integration of differential equations in the presence of first integrals: observer method