# Numerical Schemes for Rough Parabolic Equations

@article{Deya2012NumericalSF, title={Numerical Schemes for Rough Parabolic Equations}, author={Aur'elien Deya}, journal={Applied Mathematics \& Optimization}, year={2012}, volume={65}, pages={253-292} }

This paper is devoted to the study of numerical approximation schemes for a class of parabolic equations on (0,1) perturbed by a non-linear rough signal. It is the continuation of Deya (Electron. J. Probab. 16:1489–1518, 2011) and Deya et al. (Probab. Theory Relat. Fields, to appear), where the existence and uniqueness of a solution has been established. The approach combines rough paths methods with standard considerations on discretizing stochastic PDEs. The results apply to a geometric 2…

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