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SIAMSC
2010
95views more  SIAMSC 2010»
13 years 8 months ago
Interpreting IDR as a Petrov--Galerkin Method
The IDR method of Sonneveld and van Gijzen [SIAM J. Sci. Comput., 31:1035–1062, 2008] is shown to be a Petrov-Galerkin (projection) method with a particular choice of left Krylov...
Valeria Simoncini, Daniel B. Szyld
SIAMSC
2010
160views more  SIAMSC 2010»
13 years 8 months ago
Shift-Invert Arnoldi Approximation to the Toeplitz Matrix Exponential
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...
Spike T. Lee, Hong-Kui Pang, Hai-Wei Sun
SIAMSC
2010
157views more  SIAMSC 2010»
13 years 8 months ago
Adaptive Time-Stepping for Incompressible Flow Part II: Navier--Stokes Equations
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...
David A. Kay, Philip M. Gresho, David F. Griffiths...
SIAMSC
2010
130views more  SIAMSC 2010»
13 years 4 months ago
Quasi-Monte Carlo Method for Infinitely Divisible Random Vectors via Series Representations
Infinitely divisible random vector without Gaussian component admits representations of shot noise series. Due to possible slow convergence of the series, they have not been inves...
Junichi Imai, Reiichiro Kawai
SIAMSC
2010
118views more  SIAMSC 2010»
13 years 4 months ago
Optimal Explicit Strong-Stability-Preserving General Linear Methods
This paper constructs strong-stability-preserving general linear time-stepping methods that are well suited for hyperbolic PDEs discretized by the method of lines. These methods ge...
Emil M. Constantinescu, Adrian Sandu