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Stochastic Partial Differential Equations
2016So far, we have discussed discrete interface models. Taking their (mesoscopic) continuum limit, as a time evolution of interfaces or some other related physical order parameters, one would expect to obtain stochastic partial differential equations (SPDEs), which are partial differential equations having stochastic terms such as a space-time Gaussian ...
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Stochastic Partial Differential Equations
1995Stochastic partial differential equations can be used in many areas of science to model complex systems that evolve over time. Their analysis is currently an area of much research interest. This book consists of papers given at the ICMS Edinburgh meeting held in 1994 on this topic, and it brings together some of the world's best known authorities on ...
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Tsirel'son's Example for Stochastic Partial Differential Equations
Acta Mathematica Hungarica, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A stochastic partial differential equation for computational algorithms
Applied Mathematics and Computation, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On a Class of Stochastic Partial Differential Equations
Theory of Probability & Its Applications, 1983Belopol'skaya, Ya. I., Nagolkina, Z. I.
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Stochastic Equations and Stochastic Methods in Partial Differential Equations
2006In the first part of the paper, basic notions of stochastic analysis and probability theory are recalled, including the concept of stochastic integration, and some basic results of the theory of partial differential equations are reviewed. The second part of the paper is a review of applications of stochastic analysis techniques in deterministic PDE ...
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Backward stochastic differential equations and integral-partial differential equations
Stochastic and Stochastics Reports, 1997Etienne Pardoux +2 more
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A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
SIAM Journal on Numerical Analysis, 2007Fabio Nobile +2 more
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