Transcription of Approximations to the Stochastic Burgers Equation
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Approximations to the Stochastic Burgers Equation
Approximations to the Stochastic Burgers EquationMartin Hairer, Jochen Voss24th May 2010 AbstractThis article is devoted to the numerical study of various finite difference approximationsto the Stochastic Burgers Equation . Of particular interest in the one-dimensional case isthe situation where the driving noise is white both in space and in time. We demonstratethat in this case, different finite difference schemes converge to different limiting processesas the mesh size tends to zero. A theoretical explanation of this phenomenon is given andwe formulate a number of conjectures for more general classes of equations , supported bynumerical : Stochastic Burgers Equation , correction term, numerical approximationSubject classification:60H35, 60H15, 35K551 IntroductionThis article studies several finite difference schemes for the vi
Approximations to the Stochastic Burgers Equation Martin Hairer, Jochen Voss 24th May 2010 Abstract This article is devoted to the …
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