606 research outputs found
3-(Pyridin-4-ylmethoxy)phenol
In the title compound, C12H11NO2, the phenolic ring is inclined at an angle of 32.70 (1)° with respect to the pyridine ring. In the crystal, intermolecular O—H⋯N hydrogen bonds link the molecules into C(11) chains along [001]
Exponential Integrators for Stochastic Maxwell's Equations Driven by It\^o Noise
This article presents explicit exponential integrators for stochastic
Maxwell's equations driven by both multiplicative and additive noises. By
utilizing the regularity estimate of the mild solution, we first prove that the
strong order of the numerical approximation is for general
multiplicative noise. Combing a proper decomposition with the stochastic
Fubini's theorem, the strong order of the proposed scheme is shown to be
for additive noise. Moreover, for linear stochastic Maxwell's equation with
additive noise, the proposed time integrator is shown to preserve exactly the
symplectic structure, the evolution of the energy as well as the evolution of
the divergence in the sense of expectation. Several numerical experiments are
presented in order to verify our theoretical findings.Comment: 21 Page
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