Numerical Approximations of Stochastic Maxwell Equations

Introduction.- Solution Theory of Stochastic Maxwell Equations.- Intrinsic Properties of Stochastic Maxwell Equations.- Structure-Preserving Algorithms for Stochastic Maxwell Equations.- Convergence Analysis of Structure-Preserving Algorithms.- Implementation of Numerical Experiments.- Appendix A: Basic Identities and Inequalities.- Appendix B: Semigroup, Sobolev Space, and Differential Calculus.- Appendix C: Estimates Related to Maxwell Operators.- Appendix D: Some Results of Stochastic Partial Differential Equations.- References.

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• Cálculo diferencial e equações
• Estocástica
• Análise numérica
• Probabilidade e Estatística

Stochastic Maxwell equations;Stochastic symplectic and multi-symplectic structures;Stochastic energy and divergence evolution laws;Invariant measure and ergodicity;Large deviation principle;Stochastic structure-preserving algorithms;Stochastic Hamiltonian partial differential equations