English

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

Optimization and Control 2015-01-22 v3

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.

Keywords

Cite

@article{arxiv.1310.6121,
  title  = {Some non monotone schemes for time dependent Hamilton-Jacobi-Bellman equations in stochastic control},
  author = {Xavier Warin},
  journal= {arXiv preprint arXiv:1310.6121},
  year   = {2015}
}

Comments

23 pages, 3 figures