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» Numerical Methods for the Landau-Lifshitz-Gilbert Equation
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CDC
2008
IEEE
143views Control Systems» more  CDC 2008»
14 years 1 months ago
On the use of numerical methods for analysis and control of nonlinear convective systems
Abstract— A common approach to designing feedback controllers for nonlinear partial differential equations (PDEs) is to linearize the system about an equilibrium and use the line...
Edward Allen, John A. Burns, David S. Gilliam
CPHYSICS
2010
184views more  CPHYSICS 2010»
13 years 7 months ago
Parallel Newton-Krylov-Schwarz algorithms for the three-dimensional Poisson-Boltzmann equation in numerical simulation of colloi
We investigate fully parallel Newton-Krylov-Schwarz (NKS) algorithms for solving the large sparse nonlinear systems of equations arising from the finite element discretization of ...
Feng-Nan Hwang, Shang-Rong Cai, Yun-Long Shao, Jon...
AMC
2007
164views more  AMC 2007»
13 years 7 months ago
The method of lines for the numerical solution of a mathematical model for capillary formation: The role of endothelial cells in
In this paper we present the method of lines to obtain the numerical solution of a mathematical model for capillary formation in tumor angiogenesis. This method is an approach to ...
Serdal Pamuk, Arzu Erdem
SIAMSC
2008
150views more  SIAMSC 2008»
13 years 7 months ago
Asymptotic Stability of a Jump-Diffusion Equation and Its Numerical Approximation
Asymptotic linear stability is studied for stochastic differential equations (SDEs) that incorporate Poisson-driven jumps and their numerical simulation using Eulertype discretisa...
Graeme D. Chalmers, Desmond J. Higham
JSCIC
2008
43views more  JSCIC 2008»
13 years 7 months ago
Numerical Schemes of Diffusion Asymptotics and Moment Closures for Kinetic Equations
We investigate different models that are intended to describe the small mean free path regime of a kinetic equation, a particular attention being paid to the moment closure by entr...
José A. Carrillo, Thierry Goudon, P. Lafitt...