Stochastic exponential integrators preserve long-time trace formulas for energy, mass, and momentum in linear SPDEs on the sphere, while forward and backward Euler-Maruyama schemes do not.
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Long-time behavior of exact and numerical solutions of stochastic evolution equations on the sphere
Stochastic exponential integrators preserve long-time trace formulas for energy, mass, and momentum in linear SPDEs on the sphere, while forward and backward Euler-Maruyama schemes do not.