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Register a new userNumerical approximation and simulation of the stochastic wave equation on the sphere
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Added by
Annika Lang
Publication date
2021
fields
Informatics Engineering
and research's language is
English
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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.
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