Perturbed collocation and Runge-Kutta methods
✍ Scribed by S. P. Nørsett; G. Wanner
- Publisher
- Springer-Verlag
- Year
- 1981
- Tongue
- English
- Weight
- 571 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0029-599X
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📜 SIMILAR VOLUMES
In this paper, we propose a technique to stabilize some starting algorithms often used in the Newton-type iterations appearing when collocation Runge-Kutta methods are applied to solve stiff initial value problems. By following the ideas given in [1], we analyze the order (classical and stiff) • of
A number of conservative PDEs, like various wave equations, allow for a multisymplectic formulation which can be viewed as a generalization of the symplectic structure of Hamiltonian ODEs. We show that Gauss-Legendre collocation in space and time leads to multi-symplectic integrators, i.e., to numer