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ICCS
2007
Springer
13 years 11 months ago
Monte Carlo Numerical Treatment of Large Linear Algebra Problems
In this paper we deal with performance analysis of Monte Carlo algorithm for large linear algebra problems. We consider applicability and efficiency of the Markov chain Monte Carlo...
Ivan Dimov, Vassil N. Alexandrov, Rumyana Papanche...
LSSC
2001
Springer
13 years 9 months ago
Solving Systems of Linear Algebraic Equations Using Quasirandom Numbers
In this paper we analyze a quasi-Monte Carlo method for solving systems of linear algebraic equations. It is well known that the convergence of Monte Carlo methods for numerical in...
Aneta Karaivanova, Rayna Georgieva
PVM
1999
Springer
13 years 9 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
FGCS
2008
127views more  FGCS 2008»
13 years 5 months ago
Monte Carlo methods for matrix computations on the grid
Many scientific and engineering applications involve inverting large matrices or solving systems of linear algebraic equations. Solving these problems with proven algorithms for d...
Simon Branford, Cihan Sahin, Ashish Thandavan, Chr...
MMAS
2010
Springer
12 years 11 months ago
A Novel Method for Solving Multiscale Elliptic Problems with Randomly Perturbed Data
We propose a method for efficient solution of elliptic problems with multiscale features and randomly perturbed coefficients. We use the multiscale finite element method (MsFEM) as...
Victor Ginting, Axel Målqvist, Michael Presh...