Volume 12, Issue 4
One-Step Multi-Derivative Methods for Backward Stochastic Differential Equations
10.4208/nmtma.OA-2018-0122

Numer. Math. Theor. Meth. Appl., 12 (2019), pp. 1213-1230.

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• Abstract

This paper deals with numerical solutions of backward stochastic differential equations (BSDEs). For solving BSDEs, a class of third-order one-step multi-derivative methods are derived. Several numerical examples are presented to illustrate the computational effectiveness and high-order accuracy of the methods. To show the advantage of the methods, a comparison with $\theta$-methods is also given.

• History

Published online: 2019-06