Some remarks on boundary value problems for linear stochastic differential equations
Antoni L. Dawidowicz, Krystyna Twardowska (1988)
Rendiconti del Seminario Matematico della Università di Padova
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Antoni L. Dawidowicz, Krystyna Twardowska (1988)
Rendiconti del Seminario Matematico della Università di Padova
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Jacques Printems (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We first generalize, in an abstract framework, results on the order of convergence of a semi-discretization in time by an implicit Euler scheme of a stochastic parabolic equation. In this part, all the coefficients are globally Lipchitz. The case when the nonlinearity is only locally Lipchitz is then treated. For the sake of simplicity, we restrict our attention to the Burgers equation. We are not able in this case to compute a pathwise order of the approximation, we introduce the...
Słomiński Leszek
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CONTENTS Introduction........................................................................................................5 0. Announcement of results...............................................................................7 1. Condition (UT).............................................................................................18 2. Weak convergence of solutions...................................................................26 ...