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SIAMJO
2002
159views more  SIAMJO 2002»
14 years 9 months ago
Locating the Least 2-Norm Solution of Linear Programs via a Path-Following Method
A linear program has a unique least 2-norm solution provided that the linear program has a solution. To locate this solution, most of the existing methods were devised to solve cer...
Yun-Bin Zhao, Duan Li
PVM
1999
Springer
15 years 1 months ago
Parallel Monte Carlo Algorithms for Sparse SLAE Using MPI
The problem of solving sparse Systems of Linear Algebraic Equations (SLAE) by parallel Monte Carlo numerical methods is considered. The almost optimal Monte Carlo algorithms are pr...
Vassil N. Alexandrov, Aneta Karaivanova
SIAMSC
2011
133views more  SIAMSC 2011»
14 years 4 months ago
On the Existence and the Applications of Modified Equations for Stochastic Differential Equations
In this paper we describe a general framework for deriving modified equations for stochastic differential equations with respect to weak convergence. Modified equations are deri...
K. C. Zygalakis
TPDS
2008
97views more  TPDS 2008»
14 years 9 months ago
Solving Systems of Linear Equations on the CELL Processor Using Cholesky Factorization
: The STI CELL processor introduces pioneering solutions in processor architecture. At the same time it presents new challenges for the development of numerical algorithms. One is ...
Jakub Kurzak, Alfredo Buttari, Jack Dongarra
SIAMSC
2008
150views more  SIAMSC 2008»
14 years 9 months ago
Asymptotic Stability of a Jump-Diffusion Equation and Its Numerical Approximation
Asymptotic linear stability is studied for stochastic differential equations (SDEs) that incorporate Poisson-driven jumps and their numerical simulation using Eulertype discretisa...
Graeme D. Chalmers, Desmond J. Higham