NUMERICAL CONSTRUCTION OF A GENERALIZED SOLUTION TO A 2-DIMENSIONAL HAMILTON-JACOBI EQUATION

Authors
KORNEEV VA
Citation
Va. Korneev, NUMERICAL CONSTRUCTION OF A GENERALIZED SOLUTION TO A 2-DIMENSIONAL HAMILTON-JACOBI EQUATION, Journal of computer & systems sciences international, 37(1), 1998, pp. 94-101
Citations number
10
Categorie Soggetti
Computer Science Theory & Methods","Computer Science Artificial Intelligence","Computer Science Cybernetics","Computer Science Theory & Methods","Computer Science Artificial Intelligence","Computer Science Cybernetics
Journal title
Journal of computer & systems sciences international → ACNP
ISSN journal
10642307
Volume
37
Issue
1
Year of publication
1998
Pages
94 - 101
Database
ISI
SICI code
1064-2307(1998)37:1<94:NCOAGS>2.0.ZU;2-L
Abstract
A methodology for constructing a generalized (viscosity) solution to a Hamilton-Jacobi equation via the method of characteristics is present ed. With the help of this methodology, a solution to a two-dimensional problem is constructed numerically. This solution is presented in the form of cross-sections. The dependence of the solution on parameters of this problem is analyzed.