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SIAMSC
2008
134views more  SIAMSC 2008»
13 years 7 months ago
Efficient Solution of Anisotropic Lattice Equations by the Recovery Method
In a recent paper, the authors introduced the recovery method resp. local energy matching principle for solving large systems of lattice equations. The idea is to construct a part...
Ivo Babuska, S. A. Sauter
MP
2002
101views more  MP 2002»
13 years 7 months ago
Componentwise fast convergence in the solution of full-rank systems of nonlinear equations
The asymptotic convergence of parameterized variants of Newton's method for the solution of nonlinear systems of equations is considered. The original system is perturbed by a...
Nicholas I. M. Gould, Dominique Orban, Annick Sart...
SIAMSC
2008
149views more  SIAMSC 2008»
13 years 7 months ago
Adaptive Discrete Galerkin Methods Applied to the Chemical Master Equation
In systems biology, the stochastic description of biochemical reaction kinetics is increasingly being employed to model gene regulatory networks and signalling pathways. Mathematic...
Peter Deuflhard, Wilhelm Huisinga, T. Jahnke, Mich...
NA
2007
147views more  NA 2007»
13 years 7 months ago
An adaptive spectral least-squares scheme for the Burgers equation
A least-squares spectral collocation method for the one-dimensional inviscid Burgers equation is proposed. This model problem shows the stability and high accuracy of these scheme...
Wilhelm Heinrichs
FOCM
2008
88views more  FOCM 2008»
13 years 6 months ago
Convergence of the Magnus Series
The Magnus series is an infinite series which arises in the study of linear ordinary differential equations. If the series converges, then the matrix exponential of the sum equals...
Per Christian Moan, Jitse Niesen