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SIAMSC
2010
104views more  SIAMSC 2010»
13 years 8 months ago
A New Sobolev Gradient Method for Direct Minimization of the Gross--Pitaevskii Energy with Rotation
Abstract. In this paper we improve traditional steepest descent methods for the direct minimization of the Gross-Pitaevskii (GP) energy with rotation at two levels. We first defi...
Ionut Danaila, Parimah Kazemi
SIAMSC
2010
157views more  SIAMSC 2010»
13 years 8 months ago
Certified Reduced Basis Methods and Output Bounds for the Harmonic Maxwell's Equations
We propose certified reduced basis methods for the efficient and reliable evaluation of a general output that is implicitly connected to a given parameterized input through the ha...
Yanlai Chen, Jan S. Hesthaven, Yvon Maday, Jer&oac...
SIAMSC
2010
127views more  SIAMSC 2010»
13 years 8 months ago
A Nonlinear Optimization Procedure for Generalized Gaussian Quadratures
We present a new nonlinear optimization procedure for the computation of generalized Gaussian quadratures for a broad class of square integrable functions on intervals. While some ...
James Bremer, Zydrunas Gimbutas, Vladimir Rokhlin
SIAMSC
2010
192views more  SIAMSC 2010»
13 years 8 months ago
Adaptive Discontinuous Galerkin Methods for Eigenvalue Problems Arising in Incompressible Fluid Flows
In this article we consider the a posteriori error estimation and adaptive mesh refinement of discontinuous Galerkin finite element approximations of the hydrodynamic stability p...
K. Andrew Cliffe, Edward J. C. Hall, Paul Houston
SIAMSC
2008
187views more  SIAMSC 2008»
13 years 9 months ago
The Generalized Singular Value Decomposition and the Method of Particular Solutions
A powerful method for solving planar eigenvalue problems is the Method of Particular Solutions (MPS), which is also well known under the name "point matching method". In ...
Timo Betcke