A Simplified Milstein Scheme for SPDEs with Multiplicative Noise
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-04
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
This paper deals with a research question raised by Jentzen and Röckner (A Milstein scheme for SPDEs, arXiv:1001.2751v4 (2012)), whether the exponential term in their introduced scheme can be replaced by a simpler mollifier.
This replacement can lead to more simplification and computational reduction in simulation.
So, in this paper, we essentially replace the exponential term with a Padé approximation of order 1 and denote the resulting scheme by simplified Milstein scheme.
The convergence analysis for this scheme is carried out and it is shown that even with this replacement the order of convergence is maintained, while the resulting scheme is easier to implement and slightly more efficient computationally.
Some numerical tests are given that confirm the order of accuracy and also computational cost reduction.
American Psychological Association (APA)
Ghayebi, B.& Hosseini, S. M.. 2014. A Simplified Milstein Scheme for SPDEs with Multiplicative Noise. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-1013335
Modern Language Association (MLA)
Ghayebi, B.& Hosseini, S. M.. A Simplified Milstein Scheme for SPDEs with Multiplicative Noise. Abstract and Applied Analysis No. 2014 (2014), pp.1-15.
https://search.emarefa.net/detail/BIM-1013335
American Medical Association (AMA)
Ghayebi, B.& Hosseini, S. M.. A Simplified Milstein Scheme for SPDEs with Multiplicative Noise. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-1013335
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013335