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Efficient spectral sparse grid approximations for solving multi-dimensional forward backward SDEs

Efficient spectral sparse grid approximations for solving multi-dimensional forward backward SDEs

This is the second part of a series papers on multi-step schemes for solving coupled forward backward stochastic differential equations (FBSDEs). We extend the basic idea in our former paper [W. Zhao, Y. Fu and T. Zhou, SIAM J. Sci. Comput., 36 (2014), pp. A1731-A1751] to solve high-dimensional FBSDEs, by …