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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
111views more  SIAMSC 2010»
13 years 8 months ago
Operator-Based Preconditioning of Stiff Hyperbolic Systems
Abstract. We introduce an operator-based scheme for preconditioning stiff components encountered in implicit methods for hyperbolic systems of PDEs posed on regular grids. The met...
Daniel R. Reynolds, Ravi Samtaney, Carol S. Woodwa...
SIAMSC
2010
141views more  SIAMSC 2010»
13 years 8 months ago
Blendenpik: Supercharging LAPACK's Least-Squares Solver
Abstract. Several innovative random-sampling and random-mixing techniques for solving problems in linear algebra have been proposed in the last decade, but they have not yet made a...
Haim Avron, Petar Maymounkov, Sivan Toledo
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
119views more  SIAMSC 2010»
13 years 8 months ago
An Entropy Adjoint Approach to Mesh Refinement
This work presents a mesh refinement indicator based on entropy variables, with an application to the compressible Navier-Stokes equations. The entropy variables are shown to sati...
Krzysztof J. Fidkowski, Philip L. Roe