S. Reich, \Finite volume methods for multi-symplectic PDEs", BIT, to appear. Home/Search Document Details and Download
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The Geometric Integration of Scale Invariant Ordinary and.. - Budd, Piggott (2000) (Correct)
....mesh function X vary in the literature. One direct method is to mimic the formula for T and to introduce a further function H such that X = H(X;U) 4. 8) This is a natural strategy for certain hyperbolic equations as it can correspond to advecting the mesh along the ow of the solution, see [37] where it is combined with a powerful multisymplectic approach to study various problems in uid mechanics. A similar strategy is 11 also adopted by Dorodnitsyn and his co workers for a general class of groups [16] To give a scale invariant scheme we require that H(X;U) satisfy H( 1 X; ....
S. Reich, \Finite volume methods for multi-symplectic PDEs", BIT, to appear.
Multi-Symplectic Runge-Kutta Collocation Methods for Hamiltonian.. - Reich (1999) (2 citations) Self-citation (Reich) (Correct)
....multi symplectic PDEs like, for example, M t z K x z L y z = r z S(z) This also implies that the schemes can be applied to the corresponding stationary problems characterised by t z = 0. Further results on multi symplectic methods in the context of finite volume methods can be found in [17]. Acknowledgement. We like to thank Tom Bridges for the introduction to his framework of multisymplectic PDEs and for many stimulating discussions during the preparation of this paper. ....
S. Reich, Finite volume methods for multi-symplectic PDEs, technical report, 1999.
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