On the splitting-up method and stochastic partial differential equations
By István Gyöngy, Nicolai V. Krylov. 2003
133 citations recorded by the source corpus.
Subfields: Finance, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/85bc63f61f2b56395f2ac2b8870f202eb59c6760
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In Finance
- Arnulf Jentzen
- Peter E. Kloeden
- Zdzisław Brzeźniak
- Hakima Bessaih
- Annie Millet
- Xuerong Mao
- Wei Liu
- Sotirios Sabanis
In Numerical Analysis
Citations in the corpus
- The Numerical Approximation of Stochastic Partial Differential Equations (2009, methodology): “Beside this prevalent strategy also the splitting up approach for temporal discretizations (see [8, 60, 38, 39, 40, 89]), the Wiener chaos expansion (see [57, 87, 86, 90, 88, 92]) and the particle method (see [80, 13, 14, 11, 12, 15]) are frequently used ways to construct numerical approximations fo”
- Splitting up method for the 2D stochastic Navier–Stokes equations (2013, methodology): “The strong convergence of the splitting method has already been studied in a series of papers by Gy¨ongy and Krylov ([15], [16]) but for parabolic stochastic PDEs with some degenerate stochastic parabolicity condition.”