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» Discrete Laplace-Beltrami operators and their convergence
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SIAMSC
2008
108views more  SIAMSC 2008»
13 years 7 months ago
A Nine Point Scheme for the Approximation of Diffusion Operators on Distorted Quadrilateral Meshes
A nine point scheme is presented for discretizing diffusion operators on distorted quadrilateral meshes. The advantage of this method is that highly distorted meshes can be used wi...
Zhiqiang Sheng, Guangwei Yuan
SIAMSC
2010
130views more  SIAMSC 2010»
13 years 5 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
JSCIC
2007
125views more  JSCIC 2007»
13 years 7 months ago
Discrete Fundamental Solution Preconditioning for Hyperbolic Systems of PDE
We present a new preconditioner for the iterative solution of linear systems of equations arising from discretizations of systems of first order partial differential equations (P...
Henrik Brandén, Sverker Holmgren, Per Sundq...
ITCC
2000
IEEE
13 years 11 months ago
A Unified Derivation of Operational Matrices for Integration in Systems Analysis
Using the operational matrix of an orthogonal function to perform integration for solving, identifying and optimizing a linear dynamic system has several advantages: (1) the metho...
Jiunn-lin Wu, Chin-hsing Chen, Chih-fan Chen
JAT
2007
56views more  JAT 2007»
13 years 7 months ago
Quasi-interpolation in the Fourier algebra
We derive new convergence results for the Schoenberg operator and more general quasi-interpolation operators. In particular, we prove that natural conditions on the generator func...
Hans Georg Feichtinger, Norbert Kaiblinger