Stochastic integrodifferential equations in Hilbert spaces with applications in electromagnetics

DOI10.1216/JIE-2010-22-4-559zbMath1230.78018OpenAlexW2030261664MaRDI QIDQ548783

Athanasios N. Yannacopoulos, Ioannis G. Stratis, Konstantinos B. Liaskos

Publication date: 30 June 2011

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jie-2010-22-4-559

zbMATH Keywords

Maxwell's equationsrandom mediastochastic integrodifferential equations

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Composite media; random media in optics and electromagnetic theory (78A48) Stochastic integral equations (60H20)

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Stochastic multi-symplectic Runge-Kutta methods for stochastic Hamiltonian PDEs ⋮ Multi-symplectic discontinuous Galerkin methods for the stochastic Maxwell equations with additive noise ⋮ A stochastic multi-symplectic scheme for stochastic Maxwell equations with additive noise ⋮ An energy-conserving method for stochastic Maxwell equations with multiplicative noise ⋮ Discontinuous Galerkin methods for stochastic Maxwell equations with multiplicative noise ⋮ Runge--Kutta Semidiscretizations for Stochastic Maxwell Equations with Additive Noise ⋮ Preservation of physical properties of stochastic Maxwell equations with additive noise via stochastic multi-symplectic methods ⋮ A review on stochastic multi-symplectic methods for stochastic Maxwell equations ⋮ A priori estimates for a singular limit approximation of the constitutive laws for chiral media in the time domain ⋮ Exponential integrators for stochastic Maxwell's equations driven by Itô noise ⋮ A non-autonomous model for the evolution of electromagnetic fields in complex media

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