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In this paper we propose and analyze explicit space-time discrete numerical approximations for additive space-time white noise driven stochastic partial differential equations (SPDEs) with non-globally monotone nonlinearities such as the stochastic Burgers equation with space-time white noise.
Divergence of the multilevel Monte Carlo Euler method for nonlinear stochastic differential equations
Hutzenthaler, M., Jentzen, A., and Kloeden, P. E · 1966
Earlier work this paper cites.
Stochastic equations in infinite dimensions
Da Prato, G., and Zabczyk, J · 1992
Earlier work this paper cites.
An introduction to partial differential equations
Renardy, M., and Rogers, R. C · 1993
Earlier work this paper cites.
Stochastic Burgers’ equation
Da Prato, G., Debussche, A., and Temam, R · 1994
Earlier work this paper cites.
Semi-implicit Euler-Maruyama scheme for stiff stochastic equations
Hu, Y · 1996
Earlier work this paper cites.
Monte Carlo complexity of global solution of integral equations
Heinrich, S · 1998
Earlier work this paper cites.
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Heinrich, S · 2001
Earlier work this paper cites.
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Earlier work this paper cites.
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Gyöngy, I., and Millet, A · 2005
Earlier work this paper cites.
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Klenke, A · 2006
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