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DAGSTUHL
2004
13 years 6 months ago
Numerical Approximation of Parabolic Stochastic Partial Differential Equations
The topic of the talk were the time approximation of quasi linear stochastic partial differential equations of parabolic type. The framework were in the setting of stochastic evolu...
Erika Hausenblas
MOC
2000
86views more  MOC 2000»
13 years 4 months ago
Numerical algorithms for semilinear parabolic equations with small parameter based on approximation of stochastic equations
The probabilistic approach is used for constructing special layer methods to solve the Cauchy problem for semilinear parabolic equations with small parameter. Despite their probabi...
G. N. Milstein, M. V. Tretyakov
9
Voted
AMC
2006
87views more  AMC 2006»
13 years 4 months ago
Numerical solution of a non-classical parabolic problem: An integro-differential approach
A numerical method based on an integro-differential formulation and approximation by local interpolating functions is proposed for solving a one-dimensional parabolic partial diff...
Whye-Teong Ang
CDC
2008
IEEE
109views Control Systems» more  CDC 2008»
13 years 11 months ago
Sensitivity analysis and computational uncertainty with applications to control of nonlinear parabolic partial differential equa
— In this paper we illustrate how sensitivities can be used to provide a practical precursor to dynamic transitions and numerical uncertainty in parameterized nonlinear parabolic...
John A. Burns, Lisa G. Davis
SIAMREV
2010
132views more  SIAMREV 2010»
12 years 11 months ago
A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
In this paper we propose and analyze a Stochastic-Collocation method to solve elliptic Partial Differential Equations with random coefficients and forcing terms (input data of the...
Ivo Babuska, Fabio Nobile, Raúl Tempone