Some non monotone schemes for time dependent Hamilton-Jacobi-Bellman equations in stochastic control

Xavier Warin

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arXiv · 1310.6121

Some non monotone schemes for time dependent Hamilton-Jacobi-Bellman equations in stochastic control

Xavier Warin

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Abstract

We introduce some approximation schemes for linear and fully non-linear diffusion equations of Bellman-Isaacs type. Although they are not monotone one can prove their convergence to the viscosity solution of the problem. Effective implementation of these scheme is discussed and they are extensively tested.

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Xavier Warin. 2015-01-21. Some non monotone schemes for time dependent Hamilton-Jacobi-Bellman equations in stochastic control. https://arxiv.org/abs/1310.6121

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