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» On Popovski's method for nonlinear equations
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MOC
1998
144views more  MOC 1998»
14 years 9 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
SIAMCO
2010
78views more  SIAMCO 2010»
14 years 4 months ago
Null Controllability of a Parabolic System with a Cubic Coupling Term
We consider a system of two parabolic equations with a forcing control term present in one equation and a cubic coupling term in the other one. We prove that the system is locally...
Jean-Michel Coron, Sergio Guerrero, Lionel Rosier
SIAMSC
2008
113views more  SIAMSC 2008»
14 years 9 months ago
Limited Data X-Ray Tomography Using Nonlinear Evolution Equations
A novel approach to the X-ray tomography problem with sparse projection data is proposed. Non-negativity of the X-ray attenuation coefficient is enforced by modelling it as max{(x)...
Ville Kolehmainen, Matti Lassas, Samuli Siltanen
PDPTA
2003
14 years 10 months ago
Parallel Split-Step Fourier Methods for the CMKdV Equation
The class of complex modified Korteweg-de Vries (CMKdV) equations has many applications. One form of the CMKdV equation has been used to create models for the nonlinear evolution...
Thiab R. Taha, Ruihua Liu
JSCIC
2008
43views more  JSCIC 2008»
14 years 9 months ago
A Dual-Petrov-Galerkin Method for the Kawahara-Type Equations
Abstract An efficient and accurate numerical scheme is proposed, analyzed and implemented for the Kawahara and modified Kawahara equations which model many physical phenomena such ...
Juan-Ming Yuan, Jie Shen, Jiahong Wu