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Numerical methods for Hamilton Jacobi functional differential equations

✍ Scribed by W. Czernous; Z. Kamont

Book ID
114990654
Publisher
SP MAIK Nauka/Interperiodica
Year
2012
Tongue
English
Weight
377 KB
Volume
52
Category
Article
ISSN
0965-5425

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📜 SIMILAR VOLUMES

Existence of solutions to Hamilton–Jacob
Existence of solutions to Hamilton–Jacobi functional differential equations
✍ Z. Kamont 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 350 KB

This paper deals with the Cauchy problem for nonlinear first order partial functional differential equations. The unknown function is the functional variable in the equation and the partial derivatives appear in a classical sense. A theorem on the local existence of a generalized solution is proved.

Unconditionally Stable Methods for Hamil
Unconditionally Stable Methods for Hamilton–Jacobi Equations
✍ Kenneth Hvistendahl Karlsen; Nils Henrik Risebro 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 450 KB

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