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Weak second order e...
Weak second order explicit exponential Runge–Kutta methods for stochastic differential equations
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- Komori, Yoshio (författare)
- Kyushu Institute of Technology
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- Cohen, David (författare)
- Umeå universitet,Institutionen för matematik och matematisk statistik,Innsbruck university,Umeå University,University of Innsbruck
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- Burrage, Kevin (författare)
- Queensland University of Technology (QUT)
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(creator_code:org_t)
- Society for Industrial and Applied Mathematics, 2017
- 2017
- Engelska.
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Ingår i: SIAM Journal on Scientific Computing. - : Society for Industrial and Applied Mathematics. - 1064-8275 .- 1095-7197. ; 39:6, s. A2857-A2878
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Abstract
Ämnesord
Stäng
- We propose new explicit exponential Runge--Kutta methods for the weak approximation of solutions of stiff Itô stochastic differential equations (SDEs). We also consider the use of exponential Runge--Kutta methods in combination with splitting methods. These methods have weak order 2 for multidimensional, noncommutative SDEs with a semilinear drift term, whereas they are of order 2 or 3 for semilinear ordinary differential equations. These methods are A-stable in the mean square sense for a scalar linear test equation whose drift and diffusion terms have complex coefficients. We carry out numerical experiments to compare the performance of these methods with an existing explicit stabilized method of weak order 2.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- explicit method
- exponential integrator
- splitting method
- stiffness
- noncommutative noise
- Itô stochastic differential equation
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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