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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
CORR
2000
Springer
128views Education» more  CORR 2000»
13 years 5 months ago
Faster Evaluation of Multidimensional Integrals
In a recent paper Keister proposed two quadrature rules as alternatives to Monte Carlo for certain multidimensional integrals and reported his test results. In earlier work we had...
Anargyros Papageorgiou, Joseph F. Traub
JC
2006
86views more  JC 2006»
13 years 5 months ago
Randomly shifted lattice rules for unbounded integrands
We study the problem of multivariate integration over Rd with integrands of the form f(x)d(x) where d is a probability density function. Practical problems of this form occur comm...
Frances Y. Kuo, Grzegorz W. Wasilkowski, Benjamin ...
JC
2006
115views more  JC 2006»
13 years 5 months ago
Randomly shifted lattice rules on the unit cube for unbounded integrands in high dimensions
We study the problem of multivariate integration on the unit cube for unbounded integrands. Our study is motivated by problems in statistics and mathematical finance, where unboun...
Benjamin J. Waterhouse, Frances Y. Kuo, Ian H. Slo...
NAA
2000
Springer
125views Mathematics» more  NAA 2000»
13 years 9 months ago
Matrix Computations Using Quasirandom Sequences
Abstract. The convergence of Monte Carlo method for numerical integration can often be improved by replacing pseudorandom numbers (PRNs) with more uniformly distributed numbers kno...
Michael Mascagni, Aneta Karaivanova