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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 8 months ago
Discrete-Ordinate Discontinuous Galerkin Methods for Solving the Radiative Transfer Equation
The radiative transfer equation (RTE) occurs in a wide variety of applications. In this paper, we study discrete-ordinate discontinuous Galerkin methods for solving the RTE. The nu...
Weimin Han, Jianguo Huang, Joseph A. Eichholz
SIAMSC
2010
151views more  SIAMSC 2010»
13 years 8 months ago
An Adaptive Finite Element Method for the Eddy Current Model with Circuit/Field Couplings
We develop an adaptive finite element method for solving the eddy current model with voltage excitations for complicated three dimensional structures. The mathematical model is ba...
Junqing Chen, Zhiming Chen, Tao Cui, Lin-Bo Zhang
SIAMSC
2010
117views more  SIAMSC 2010»
13 years 8 months ago
A New Multiscale Representation for Shapes and Its Application to Blood Vessel Recovery
In this paper, we will first introduce a novel multiscale representation (MSR) for shapes via level set motions and partial differential equations (PDEs). Based on the MSR, we wi...
Bin Dong, Aichi Chien, Zuowei Shen, Stanley Osher