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Numerical approxima...
Numerical approximation and simulation of the stochastic wave equation on the sphere
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- Cohen, David (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,Chalmers tekniska högskola,Chalmers University of Technology
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- Lang, Annika, 1980 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,Chalmers tekniska högskola,Chalmers University of Technology
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(creator_code:org_t)
- 2022-08-01
- 2022
- Engelska.
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Ingår i: Calcolo. - : Springer Science and Business Media LLC. - 0008-0624 .- 1126-5434. ; 59:3
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Abstract
Ämnesord
Stäng
- Solutions to the stochastic wave equation on the unit sphere are approximated by spectral methods. Strong, weak, and almost sure convergence rates for the proposed numerical schemes are provided and shown to depend only on the smoothness of the driving noise and the initial conditions. Numerical experiments confirm the theoretical rates. The developed numerical method is extended to stochastic wave equations on higher-dimensional spheres and to the free stochastic Schrodinger equation on the unit sphere.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- TEKNIK OCH TEKNOLOGIER -- Maskinteknik -- Strömningsmekanik och akustik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Mechanical Engineering -- Fluid Mechanics and Acoustics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- Gaussian random fields
- Karhunen-Loeve expansion
- Spherical harmonic
- functions
- Stochastic partial differential equations
- Stochastic wave
- equation
- Stochastic Schrodinger equation
- Sphere
- Spectral Galerkin
- methods
- Strong and weak convergence rates
- Almost sure convergence
- gaussian random-fields
- weak approximation
- discretization
- regularity
- Mathematics
- Gaussian random fields
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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