Application of the method of convexification to find a multivalued integral

DOI10.1007/BF02407137zbMath0957.65013OpenAlexW2060362495MaRDI QIDQ1974994

S. V. Borisenko

Publication date: 27 March 2000

Published in: Computational Mathematics and Modeling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02407137

zbMATH Keywords

Hamilton-Jacobi equationviscosity solutionCauchy problemconvex hulllinear differential gamemultivalued integralpursuit strategynumerical convexification

Mathematics Subject Classification ID

Differential games and control (49N70) Differential games (aspects of game theory) (91A23) Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Attainable sets, reachability (93B03) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Cites Work

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• Multivalent differentiation and integration by quasiaffine mappings
• Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations
• Construction of the convex hull of a finite set of points when the computations are approximate
• Viscosity Solutions of Hamilton-Jacobi Equations
• Convex Analysis
• On the approximation of a generalized alternating integral

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