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» Solving Very Sparse Rational Systems of Equations
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ICA3PP
2010
Springer
14 years 9 days ago
Accelerating Euler Equations Numerical Solver on Graphics Processing Units
Abstract. Finite volume numerical methods have been widely studied, implemented and parallelized on multiprocessor systems or on clusters. Modern graphics processing units (GPU) pr...
Pierre Kestener, Frédéric Chât...
ISSAC
2004
Springer
88views Mathematics» more  ISSAC 2004»
14 years 27 days ago
Non-liouvillian solutions for second order Linear ODEs
There exist sound literature and algorithms for computing Liouvillian solutions for the important problem of linear ODEs with rational coefficients. Taking as sample the 363 secon...
L. Chan, E. S. Cheb-Terrab
COMPUTING
2007
103views more  COMPUTING 2007»
13 years 7 months ago
An algebraic approach for H-matrix preconditioners
Hierarchical matrices (H-matrices) approximate matrices in a data-sparse way, and the approximate arithmetic for H-matrices is almost optimal. In this paper we present an algebrai...
S. Oliveira, F. Yang
ITCC
2000
IEEE
13 years 12 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
FOCM
2002
140views more  FOCM 2002»
13 years 7 months ago
Adaptive Wavelet Methods II - Beyond the Elliptic Case
This paper is concerned with the design and analysis of adaptive wavelet methods for systems of operator equations. Its main accomplishment is to extend the range of applicability...
Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore