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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
SIAMSC
2008
188views more  SIAMSC 2008»
13 years 4 months ago
Adaptivity with Dynamic Meshes for Space-Time Finite Element Discretizations of Parabolic Equations
In this paper, we develop an error estimator and an adaptive algorithm for efficient solution of parabolic partial differential equations. The error estimator assesses the discreti...
Michael Schmich, Boris Vexler
ACST
2006
13 years 6 months ago
Domain decomposition by radial basis functions for time dependent partial differential equations
In the last years, there has been an increased investigation of efficient algorithms to solve problems of great scale. The main restriction of the traditional methods, like finite...
José Antonio Muñoz-Gómez, Ped...
MOC
2002
101views more  MOC 2002»
13 years 4 months ago
On the stability of a family of finite element methods for hyperbolic problems
We consider a family of tensor product finite element methods for hyperbolic equations in RN , N 2, which are explicit and generate a continuous approximate solution. The base cas...
Gerard R. Richter
CSC
2006
13 years 6 months ago
Statistical Analysis of Linear Random Differential Equation
In this paper, a new method is proposed in order to evaluate the stochastic solution of linear random differential equation. The method is based on the combination of the probabili...
Seifedine Kadry