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SIAMSC
2008
142views more  SIAMSC 2008»
13 years 8 months ago
Algebraic Multigrid Solvers for Complex-Valued Matrices
In the mathematical modeling of real-life applications, systems of equations with complex coefficients often arise. While many techniques of numerical linear algebra, e.g., Krylovs...
Scott MacLachlan, Cornelis W. Oosterlee
SIAMSC
2008
108views more  SIAMSC 2008»
13 years 9 months ago
A Nine Point Scheme for the Approximation of Diffusion Operators on Distorted Quadrilateral Meshes
A nine point scheme is presented for discretizing diffusion operators on distorted quadrilateral meshes. The advantage of this method is that highly distorted meshes can be used wi...
Zhiqiang Sheng, Guangwei Yuan
SIAMSC
2008
99views more  SIAMSC 2008»
13 years 9 months ago
Mixed Multiscale Finite Element Methods for Stochastic Porous Media Flows
In this paper, we propose a stochastic mixed multiscale finite element method. The proposed method solves the stochastic porous media flow equation on the coarse grid using a set ...
J. E. Aarnes, Yalchin Efendiev
SIAMSC
2008
117views more  SIAMSC 2008»
13 years 9 months ago
Adaptive, Fast, and Oblivious Convolution in Evolution Equations with Memory
To approximate convolutions which occur in evolution equations with memory terms, a variable-stepsize algorithm is presented for which advancing N steps requires only O(N log N) op...
María López-Fernández, Christ...
SIAMSC
2008
146views more  SIAMSC 2008»
13 years 9 months ago
Long Time Numerical Solution of the Navier--Stokes Equations Based on a Sequential Regularization Formulation
Abstract. The sequential regularization method is a reformulation of the unsteady Navier-Stokes equations from the view point of constrained dynamical systems or approximate Helmho...
Ping Lin, Jian-Guo Liu, Xiliang Lu