SIAMSC
2010
13 years 2 months ago
2010
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...
SIAMSC
2010
13 years 2 months ago
2010
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...
SIAMSC
2010
13 years 2 months ago
2010
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...
SIAMSC
2010
13 years 2 months ago
2010
In this paper we propose a class of high order numerical methods to delta function integrals appearing in level set methods in the three dimensional case by extending the idea for ...
SIAMSC
2010
13 years 2 months ago
2010
We outline a new class of robust and efficient methods for solving the Navier– Stokes equations. We describe a general solution strategy that has two basic building blocks: an im...
SIAMSC
2010
13 years 2 months ago
2010
Abstract. An algebraic multigrid (AMG) method is presented for the calculation of the stationary probability vector of an irreducible Markov chain. The method is based on standard ...
SIAMSC
2010
13 years 2 months ago
2010
The shift-invert Arnoldi method is employed to generate an orthonormal basis from the Krylov subspace corresponding to a real Toeplitz matrix and an initial vector. The vectors and...
SIAMSC
2010
13 years 2 months ago
2010
In this work we discuss a class of defect correction methods which is easily adapted to create parallel time integrators for multi-core architectures and is ideally suited for deve...
SIAMSC
2010
13 years 2 months ago
2010
Abstract. Popular approaches for solving the shallow water equations (SWE) for climate modeling are explicit and semi-implicit methods, both have certain constraints on the time st...
SIAMSC
2010
13 years 2 months ago
2010
Abstract. We develop duality-based a posteriori error estimates for functional outputs of solutions of free-boundary problems via shape-linearization principles. To derive an appro...