Stability Analysis of Explicit and Implicit Stochastic Runge-Kutta Methods for Stochastic Differential Equations

This paper concerns to the stability analysis of explicit and implicit stochastic Runge-Kutta methods in approximating the solution of stochastic models. The stability analysis of the schemes in mean-square norm is investigated. Linear stochastic differential equations are used as test equations to...

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Main Authors: Adam, Samsudin, Norhayati, Rosli, Amalina Nisa, Ariffin
Format: Article
Language:English
Published: IOP Publishing 2017
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Online Access:http://umpir.ump.edu.my/id/eprint/18649/1/IOP%20Adam.pdf
http://umpir.ump.edu.my/id/eprint/18649/
http://dx.doi.org/10.1088/1742-6596/890/1/012084
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Institution: Universiti Malaysia Pahang
Language: English
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spelling my.ump.umpir.186492018-07-19T00:24:28Z http://umpir.ump.edu.my/id/eprint/18649/ Stability Analysis of Explicit and Implicit Stochastic Runge-Kutta Methods for Stochastic Differential Equations Adam, Samsudin Norhayati, Rosli Amalina Nisa, Ariffin QA Mathematics This paper concerns to the stability analysis of explicit and implicit stochastic Runge-Kutta methods in approximating the solution of stochastic models. The stability analysis of the schemes in mean-square norm is investigated. Linear stochastic differential equations are used as test equations to demonstrate the efficiency of the proposed schemes. IOP Publishing 2017 Article PeerReviewed application/pdf en cc_by http://umpir.ump.edu.my/id/eprint/18649/1/IOP%20Adam.pdf Adam, Samsudin and Norhayati, Rosli and Amalina Nisa, Ariffin (2017) Stability Analysis of Explicit and Implicit Stochastic Runge-Kutta Methods for Stochastic Differential Equations. Journal of Physics: Conference Series, 890 (012084). pp. 1-7. ISSN 1742-6596 http://dx.doi.org/10.1088/1742-6596/890/1/012084 doi :10.1088/1742-6596/890/1/012084
institution Universiti Malaysia Pahang
building UMP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Pahang
content_source UMP Institutional Repository
url_provider http://umpir.ump.edu.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Adam, Samsudin
Norhayati, Rosli
Amalina Nisa, Ariffin
Stability Analysis of Explicit and Implicit Stochastic Runge-Kutta Methods for Stochastic Differential Equations
description This paper concerns to the stability analysis of explicit and implicit stochastic Runge-Kutta methods in approximating the solution of stochastic models. The stability analysis of the schemes in mean-square norm is investigated. Linear stochastic differential equations are used as test equations to demonstrate the efficiency of the proposed schemes.
format Article
author Adam, Samsudin
Norhayati, Rosli
Amalina Nisa, Ariffin
author_facet Adam, Samsudin
Norhayati, Rosli
Amalina Nisa, Ariffin
author_sort Adam, Samsudin
title Stability Analysis of Explicit and Implicit Stochastic Runge-Kutta Methods for Stochastic Differential Equations
title_short Stability Analysis of Explicit and Implicit Stochastic Runge-Kutta Methods for Stochastic Differential Equations
title_full Stability Analysis of Explicit and Implicit Stochastic Runge-Kutta Methods for Stochastic Differential Equations
title_fullStr Stability Analysis of Explicit and Implicit Stochastic Runge-Kutta Methods for Stochastic Differential Equations
title_full_unstemmed Stability Analysis of Explicit and Implicit Stochastic Runge-Kutta Methods for Stochastic Differential Equations
title_sort stability analysis of explicit and implicit stochastic runge-kutta methods for stochastic differential equations
publisher IOP Publishing
publishDate 2017
url http://umpir.ump.edu.my/id/eprint/18649/1/IOP%20Adam.pdf
http://umpir.ump.edu.my/id/eprint/18649/
http://dx.doi.org/10.1088/1742-6596/890/1/012084
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