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Stochastic Partial Differential Equations

2016
So 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

1995
Stochastic 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, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the approximation of stochastic partial differential equations i

Stochastics, 1988
The stability of abstract stochastic partial differential equations with respect to the simultaneous perturbation of the driving processes and of the differential operators is investigated. The results obtained here will be applied to concrete stochastic partial differential equations in the continuation of this ...
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Difference Methods for Stochastic Partial Differential Equations

ZAMM, 2002
The deterministic theory of finite difference schemes is an important subject in order to approximate the solutions of partial differential equations. This article presents difference methods in order to approximate the solutions of stochastic partial differential equations of Itô-type, in particular hyperbolic equations.
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A stochastic partial differential equation for computational algorithms

Applied Mathematics and Computation, 2004
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On a Class of Stochastic Partial Differential Equations

Theory of Probability & Its Applications, 1983
Belopol'skaya, Ya. I., Nagolkina, Z. I.
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Stochastic Equations and Stochastic Methods in Partial Differential Equations

2006
In 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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Stochastic partial differential equations

1996
Helge Holden   +3 more
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