Exact Calculation of the Approximation Error of Multiple Itô Stochastic Integrals1

Author:

Rybakov K. A.

Publisher

Pleiades Publishing Ltd

Subject

Numerical Analysis

Reference11 articles.

1. Kloeden, P.E. and Platen E., Numerical Solution of Stochastic Differential Equations, Springer, 1999.

2. Milstein, G.N. and Tretyakov M.V., Stochastic Numerics for Mathematical Physics, Springer-Verlag, 2004.

3. Averina, T.A., Statisticheskoe modelirovanie reshenii stokhasticheskikh differentsialnykh uravnenii i sistem so sluchainoi strukturoi (Statistical Modeling of Solutions of Stochastic Differential Equations and Systems with Random Structure), Novosibirsk: SB RAS Publ. House, 2019.

4. Kuznetsov, D.F., Mean-Square Approximation of Iterated Itô and Stratonovich Stochastic Integrals: Method of Generalized Multiple Fourier Series. Application to Numerical Integration of Itô SDEs and Semilinear SPDEs, Diff. Eq. Control Proces., 2021, no. 4, pp. A.1–A.788.

5. Rybakov, K.A., Orthogonal Expansion of Multiple Ito Stochastic Integrals, Diff. Ur. Prots. Upravl., 2021, no. 3, pp. 109–140.

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