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» Numerical Methods for the Landau-Lifshitz-Gilbert Equation
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SIAMSC
2008
113views more  SIAMSC 2008»
15 years 13 days ago
An Efficient and Robust Method for Simulating Two-Phase Gel Dynamics
We develop a computational method for simulating models of gel dynamics where the gel is described by two phases, a networked polymer and a fluid solvent. The models consist of tra...
Grady B. Wright, Robert D. Guy, Aaron L. Fogelson
CP
2009
Springer
16 years 1 months ago
Filtering Numerical CSPs Using Well-Constrained Subsystems
When interval methods handle systems of equations over the reals, two main types of filtering/contraction algorithms are used to reduce the search space. When the system is well-co...
Ignacio Araya, Gilles Trombettoni, Bertrand Neveu
SIAMJO
2008
93views more  SIAMJO 2008»
15 years 13 days ago
Recursive Trust-Region Methods for Multiscale Nonlinear Optimization
A class of trust-region methods is presented for solving unconstrained nonlinear and possibly nonconvex discretized optimization problems, like those arising in systems governed by...
Serge Gratton, Annick Sartenaer, Philippe L. Toint
81
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IJCM
2007
53views more  IJCM 2007»
15 years 13 days ago
Splitting methods for non-autonomous linear systems
We present splitting methods for numerically solving a certain class of explicitly time-dependent linear differential equations. Starting from an efficient method for the autonom...
Sergio Blanes, Fernando Casas, Ander Murua
106
Voted
CAD
1998
Springer
15 years 7 days ago
Solving geometric constraint systems. II. A symbolic approach and decision of Rc-constructibility
Abstract. This paper reports a geometric constraint solving approach based on symbolic computation. With this approach, we can compute robust numerical solutions for a set of equat...
Xiao-Shan Gao, Shang-Ching Chou