An extended Hamilton — Jacobi method
✍ Scribed by Valery V. Kozlov
- Book ID
- 118726100
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2012
- Tongue
- English
- Weight
- 407 KB
- Volume
- 17
- Category
- Article
- ISSN
- 1560-3547
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A method of solving the canonical Hamilton equations, based on a search for invariant manifolds, which are uniquely projected onto position space, is proposed. These manifolds are specified by covector fields, which satisfy a system of first-order partial differential equations, similar in their pro
We present new numerical methods for constructing approximate solutions to the Cauchy problem for Hamilton-Jacobi equations of the form u t + H (D x u) = 0. The methods are based on dimensional splitting and front tracking for solving the associated (non-strictly hyperbolic) system of conservation l