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» Convergence of rank-type equations
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MMAS
2011
Springer
14 years 10 days ago
Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers
This paper introduces a new sweeping preconditioner for the iterative solution of the variable coefficient Helmholtz equation in two and three dimensions. The algorithms follow th...
Björn Engquist, Lexing Ying
ADCM
2006
54views more  ADCM 2006»
14 years 9 months ago
Solutions in Sobolev spaces of vector refinement equations with a general dilation matrix
In this paper, we present a necessary and sufficient condition for the existence of solutions in a Sobolev space Wk p (Rs )(1 p ) to a vector refinement equation with a general dil...
Bin Han 0003
59
Voted
SIAMSC
2008
75views more  SIAMSC 2008»
14 years 9 months ago
Well-Balanced Time Implicit Formulation of Relaxation Schemes for the Euler Equations
We show how to derive time implicit formulations of relaxation schemes for the Euler equations for real materials in several space dimensions. In the fully time explicit setting, t...
Christophe Chalons, Frédéric Coquel,...
81
Voted
SIAMNUM
2010
178views more  SIAMNUM 2010»
14 years 4 months ago
A New Class of High Order Finite Volume Methods for Second Order Elliptic Equations
In the numerical simulation of many practical problems in physics and engineering, finite volume methods are an important and popular class of discretization methods due to the loc...
Long Chen
SIAMSC
2010
145views more  SIAMSC 2010»
14 years 4 months ago
An "hp" Certified Reduced Basis Method for Parametrized Elliptic Partial Differential Equations
We present a new "hp" parameter multi-domain certified reduced basis method for rapid and reliable online evaluation of functional outputs associated with parametrized el...
Jens L. Eftang, Anthony T. Patera, Einar M. R&osla...