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» Numerical Methods for the Landau-Lifshitz-Gilbert Equation
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SIAMSC
2010
144views more  SIAMSC 2010»
14 years 11 months ago
A Fully Implicit Domain Decomposition Algorithm for Shallow Water Equations on the Cubed-Sphere
Abstract. Popular approaches for solving the shallow water equations (SWE) for climate modeling are explicit and semi-implicit methods, both have certain constraints on the time st...
Chao Yang, Jianwen Cao, Xiao-Chuan Cai
IEEECIT
2010
IEEE
14 years 11 months ago
Predicting Events for the Simulation of Hybrid Systems
The quality of the numeric simulation of hybrid systems highly depends on the capability of the simulator to detect discrete events during continuous evolutions. Due to the intera...
Kerstin Bauer, Klaus Schneider
AMC
2007
95views more  AMC 2007»
15 years 18 days ago
A one-parameter family of third-order methods to solve nonlinear equations
In this paper we present a new one-parameter family of iterative methods to solve nonlinear equations which includes some well-known third-order methods as particular ones. The co...
Changbum Chun
FOCM
2002
140views more  FOCM 2002»
15 years 7 days ago
Adaptive Wavelet Methods II - Beyond the Elliptic Case
This paper is concerned with the design and analysis of adaptive wavelet methods for systems of operator equations. Its main accomplishment is to extend the range of applicability...
Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore
SIAMSC
2011
151views more  SIAMSC 2011»
14 years 7 months ago
Inexact Newton Methods with Restricted Additive Schwarz Based Nonlinear Elimination for Problems with High Local Nonlinearity
The classical inexact Newton algorithm is an efficient and popular technique for solving large sparse nonlinear system of equations. When the nonlinearities in the system are wellb...
Xiao-Chuan Cai, Xuefeng Li