We consider the Dirichlet problem for the Isaacs equation of pursuit-evasion differential games and prove estimates of convergence for a numerical scheme associated with it. The function that we approximate is the Hölder continuous viscosity solution of the problem, and the direct proof that we propose relies on some ideas related to the maximum principle for viscosity solutions.
Estimates of convergence of fully discrete schemes for the Isaacs equation of pursuit-evasion differential games via maximum principle
SORAVIA, PIERPAOLO
1998
Abstract
We consider the Dirichlet problem for the Isaacs equation of pursuit-evasion differential games and prove estimates of convergence for a numerical scheme associated with it. The function that we approximate is the Hölder continuous viscosity solution of the problem, and the direct proof that we propose relies on some ideas related to the maximum principle for viscosity solutions.
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