Multi-symplectic discretisation of wave map equations
作者： Olivier Verdier , David Cohen
DOI: 10.1137/15M1014322
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摘要: We present a new multi-symplectic formulation of constrained Hamiltonian partial differential equations, and we study the associated local conservation laws. A discretisation based on this is exemplified by means Euler box scheme. When applied to wave map equation, numerical scheme explicit, preserves constraint can be seen as generalisation Shake algorithm for mechanical systems. Furthermore, experiments show excellent properties solutions.
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