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MOC
1998
144views more  MOC 1998»
13 years 4 months ago
Convergence of a random walk method for a partial differential equation
Abstract. A Cauchy problem for a one–dimensional diffusion–reaction equation is solved on a grid by a random walk method, in which the diffusion part is solved by random walk...
Weidong Lu
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
2010
145views more  SIAMSC 2010»
12 years 11 months ago
An "hp" Certified Reduced Basis Method for Parametrized Elliptic Partial Differential Equations
We present a new "hp" parameter multi-domain certified reduced basis method for rapid and reliable online evaluation of functional outputs associated with parametrized el...
Jens L. Eftang, Anthony T. Patera, Einar M. R&osla...
BIOCOMP
2009
13 years 2 months ago
Simulating Spatial Partial Differential Equations with Cellular Automata
Abstract-- Spatial partial differential equations are commonly used to describe systems of biological entities, such as patterns created by desert vegetation and biovermiculation g...
Brian Strader, Keith E. Schubert, Ernesto Gomez, J...
CDC
2008
IEEE
182views Control Systems» more  CDC 2008»
13 years 11 months ago
Feed-Forward river flow control using differential flatness
—This article presents two methods for open-loop river flow control, based on a classical hydraulic model (the Hayami model, a partial differential equation resulting from a sim...
Florent Di Meglio, Tarek Rabbani, Xavier Litrico, ...