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IPPS
2003
IEEE
15 years 3 months ago
Parallel Direct Solution of Linear Equations on FPGA-Based Machines
The efficient solution of large systems of linear equations represented by sparse matrices appears in many tasks. LU factorization followed by backward and forward substitutions i...
Xiaofang Wang, Sotirios G. Ziavras
RTA
1997
Springer
15 years 1 months ago
Solving Linear Diophantine Equations Using the Geometric Structure of the Solution Space
In the development of algorithms for finding the minimal solutions of systems of linear Diophantine equations, little use has been made (to our knowledge) of the results by Stanle...
Ana Paula Tomás, Miguel Filgueiras
JCAM
2011
91views more  JCAM 2011»
14 years 19 days ago
Numerical solution of linear Volterra integral equations of the second kind with sharp gradients
Collocation methods are a well developed approach for the numerical solution of smooth and weakly-singular Volterra integral equations. In this paper we extend these methods, thro...
Samuel A. Isaacson, Robert M. Kirby
CORR
2006
Springer
101views Education» more  CORR 2006»
14 years 9 months ago
Fast computation of power series solutions of systems of differential equations
We propose algorithms for the computation of the first N terms of a vector (or a full basis) of power series solutions of a linear system of differential equations at an ordinary ...
Alin Bostan, Frédéric Chyzak, Fran&c...