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WSC
2008
13 years 7 months ago
Discrete stochastic optimization using linear interpolation
We consider discrete stochastic optimization problems where the objective function can only be estimated by a simulation oracle; the oracle is defined only at the discrete points....
Honggang Wang, Bruce W. Schmeiser
JCAM
2011
91views more  JCAM 2011»
12 years 7 months 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
AAIM
2007
Springer
94views Algorithms» more  AAIM 2007»
13 years 11 months ago
An Ingenious, Piecewise Linear Interpolation Algorithm for Pricing Arithmetic Average Options
Abstract. Pricing arithmetic average options continues to intrigue researchers in the field of financial engineering. Since there is no analytical solution for this problem until...
Tian-Shyr Dai, Jr-Yan Wang, Hui-Shan Wei
COMPUTING
2006
130views more  COMPUTING 2006»
13 years 4 months ago
Factorized Solution of Lyapunov Equations Based on Hierarchical Matrix Arithmetic
We investigate the numerical solution of large-scale Lyapunov equations with the sign function method. Replacing the usual matrix inversion, addition, and multiplication by format...
Ulrike Baur, Peter Benner
ESORICS
2010
Springer
13 years 5 months ago
Secure Multiparty Linear Programming Using Fixed-Point Arithmetic
Collaborative optimization problems can often be modeled as a linear program whose objective function and constraints combine data from several parties. However, important applicat...
Octavian Catrina, Sebastiaan de Hoogh