Journal of Siberian Federal University. Mathematics & Physics / Fast Numerical Methods for Stochastic Modeling Based on Probabilistic Extensions

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. Prepublication
Authors
Dobronets, Boris S.; Popova, Olga A.
Contact information
Dobronets, Boris S.: Siberian Federal University (Krasnoyarsk, Russian Federation); OCRID: 0000-0002-0167-1637;; Popova, Olga A.: Siberian Federal University (Krasnoyarsk, Russian Federation); OCRID: 0000-0002-5739-2741
Keywords
computational probabilistic analysis; probabilistic extensions; uncertainty quantification
Abstract

The article studies fast algorithms for numerical modeling of problems with random input data. The approaches under consideration are non-intrusive methods based on probabilistic extensions. They rely on existing numerical methods for solving deterministic problems and use them as solvers. Unlike polynomial chaos methods, in some cases it is possible to avoid exponential growth of the number of operations from the number of input parameters

Pages
291–299
EDN
BPCWON
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/158229