Numerical Approximations of Stochastic Maxwell Equations

Numerical Approximations of Stochastic Maxwell Equations

Via Structure-Preserving Algorithms

von

Chen, ChuchuJi, LihaiHong, Jialin

BuchPaperback

Verkaufsrang697inMathematik

CHF85.90

BuchCHF85.90

eBookCHF71.00

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Produktinformationen

The stochastic Maxwell equations play an essential role in many fields, including fluctuational electrodynamics, statistical radiophysics, integrated circuits, and stochastic inverse problems.

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Details

ISBN/GTIN978-981-99-6685-1

ProduktartBuch

EinbandPaperback

VerlagSpringer

Erscheinungsdatum05.01.2024

Auflage1st ed. 2023

ReiheLecture Notes in Mathematics

Reihen-Nr.2341

Seiten284 Seiten

SpracheEnglisch

MasseBreite 155 mm, Höhe 235 mm, Dicke 17 mm

Gewicht464 g

WarengruppeNaturwissenschaft

KategorieMathematik

Weitere Details

Reihe

An Introduction to KMS Weights

Twisted Morse Complexes

Braids, Conformal Module, Entropy, and Gromov's Oka Principle

Principal Symbol Calculus on Contact Manifolds

Bayesian Nonparametric Statistics

Recent Stability Issues for Linear Dynamical Systems

Helix Structures in Quantum Cohomology of Fano Varieties

Functional Analytic Methods for Heat Green Operators

Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts

Normal 2-Coverings of the Finite Simple Groups and their Generalizations

Asymptotic Expansions and Summability

Categorical Donaldson-Thomas Theory for Local Surfaces

Upper Bounds for Grothendieck Constants, Quantum Correlation Matrices and CCP Functions

Geometric and Analytic Aspects of Functional Variational Principles

Modern Aspects of Dynamical Systems

Kritiken und Kommentare

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Über die Autorin/den Autor

Chen, ChuchuJi, LihaiHong, Jialin

Chuchu Chen is an associate professor at the Chinese Academy of Sciences. She obtained her Ph.D. in 2015 at the Chinese Academy of Sciences. Her research interest is in the numerical analysis of stochastic partial differential equations, especially in the structure-preserving algorithms for stochastic Hamiltonian PDEs including the stochastic Maxwell equations and the stochastic Schrödinger equation, the analysis of the long-time dynamical behaviors including the ergodicity and intermittency of stochastic numerical methods, the influence of numerical discretizations on the statistical properties like the hitting probability and density function of stochastic PDEs.Jialin Hong is a professor at the Chinese Academy of Sciences. He obtained his Ph.D. in 1994 at Jilin University. He works in various directions including structure-preserving algorithms for dynamical systems involving symplectic and multi-symplectic methods for Hamiltonian ODEs andPDEs, Lie group methods and applications, numerical dynamics including chaos, bifurcations for discrete systems, numerical methods for stochastic ordinary differential systems, stochastic partial differential equations, and backward stochastic differential equations, almost periodic dynamical systems, and ergodic theory.Lihai Ji is an associate professor at the Institute of Applied Physics and Computational Mathematics. He obtained his Ph.D. in 2013 at the Chinese Academy of Sciences. He works in stochastic partial differential equations and their numerical algorithms. He has been investigating the construction and analysis of various energy-preserving algorithms, positive-preserving algorithms, stochastic symplectic and multi-symplectic algorithms for the stochastic Lotka-Volterra model and stochastic Hamiltonian PDEs including the stochastic Maxwell equations, the stochastic Schrödinger equation, and the coupled stochastic Schrödinger equation.