Numerical Approximations Of Stochastic Maxwell Equations PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Numerical Approximations Of Stochastic Maxwell Equations PDF full book. Access full book title Numerical Approximations Of Stochastic Maxwell Equations.
| Author | : Chuchu Chen |
| Publisher | : Springer Nature |
| Total Pages | : 293 |
| Release | : 2024-01-04 |
| Genre | : Mathematics |
| ISBN | : 9819966868 |
Download Numerical Approximations of Stochastic Maxwell Equations Book in PDF, ePub and Kindle
The stochastic Maxwell equations play an essential role in many fields, including fluctuational electrodynamics, statistical radiophysics, integrated circuits, and stochastic inverse problems. This book provides some recent advances in the investigation of numerical approximations of the stochastic Maxwell equations via structure-preserving algorithms. It presents an accessible overview of the construction and analysis of structure-preserving algorithms with an emphasis on the preservation of geometric structures, physical properties, and asymptotic behaviors of the stochastic Maxwell equations. A friendly introduction to the simulation of the stochastic Maxwell equations with some structure-preserving algorithms is provided using MATLAB for the reader’s convenience. The objects considered in this book are related to several fascinating mathematical fields: numerical analysis, stochastic analysis, (multi-)symplectic geometry, large deviations principle, ergodic theory, partial differential equation, probability theory, etc. This book will appeal to researchers who are interested in these topics.
| Author | : Ulrich Langer |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 630 |
| Release | : 2019-07-08 |
| Genre | : Mathematics |
| ISBN | : 3110542692 |
Download Maxwell’s Equations Book in PDF, ePub and Kindle
This volume collects longer articles on the analysis and numerics of Maxwell’s equations. The topics include functional analytic and Hilbert space methods, compact embeddings, solution theories and asymptotics, electromagnetostatics, time-harmonic Maxwell’s equations, time-dependent Maxwell’s equations, eddy current approximations, scattering and radiation problems, inverse problems, finite element methods, boundary element methods, and isogeometric analysis.
| Author | : Jialin Hong |
| Publisher | : Springer Nature |
| Total Pages | : 307 |
| Release | : 2023-02-21 |
| Genre | : Mathematics |
| ISBN | : 9811976708 |
Download Symplectic Integration of Stochastic Hamiltonian Systems Book in PDF, ePub and Kindle
This book provides an accessible overview concerning the stochastic numerical methods inheriting long-time dynamical behaviours of finite and infinite-dimensional stochastic Hamiltonian systems. The long-time dynamical behaviours under study involve symplectic structure, invariants, ergodicity and invariant measure. The emphasis is placed on the systematic construction and the probabilistic superiority of stochastic symplectic methods, which preserve the geometric structure of the stochastic flow of stochastic Hamiltonian systems. The problems considered in this book are related to several fascinating research hotspots: numerical analysis, stochastic analysis, ergodic theory, stochastic ordinary and partial differential equations, and rough path theory. This book will appeal to researchers who are interested in these topics.
| Author | : Jialin Hong |
| Publisher | : Springer Nature |
| Total Pages | : 220 |
| Release | : 2019-08-22 |
| Genre | : Mathematics |
| ISBN | : 9813290692 |
Download Invariant Measures for Stochastic Nonlinear Schrödinger Equations Book in PDF, ePub and Kindle
This book provides some recent advance in the study of stochastic nonlinear Schrödinger equations and their numerical approximations, including the well-posedness, ergodicity, symplecticity and multi-symplecticity. It gives an accessible overview of the existence and uniqueness of invariant measures for stochastic differential equations, introduces geometric structures including symplecticity and (conformal) multi-symplecticity for nonlinear Schrödinger equations and their numerical approximations, and studies the properties and convergence errors of numerical methods for stochastic nonlinear Schrödinger equations. This book will appeal to researchers who are interested in numerical analysis, stochastic analysis, ergodic theory, partial differential equation theory, etc.
| Author | : Houssem Haddar |
| Publisher | : Springer |
| Total Pages | : 249 |
| Release | : 2015-07-20 |
| Genre | : Mathematics |
| ISBN | : 3319193066 |
Download Computational Electromagnetism Book in PDF, ePub and Kindle
Presenting topics that have not previously been contained in a single volume, this book offers an up-to-date review of computational methods in electromagnetism, with a focus on recent results in the numerical simulation of real-life electromagnetic problems and on theoretical results that are useful in devising and analyzing approximation algorithms. Based on four courses delivered in Cetraro in June 2014, the material covered includes the spatial discretization of Maxwell’s equations in a bounded domain, the numerical approximation of the eddy current model in harmonic regime, the time domain integral equation method (with an emphasis on the electric-field integral equation) and an overview of qualitative methods for inverse electromagnetic scattering problems. Assuming some knowledge of the variational formulation of PDEs and of finite element/boundary element methods, the book is suitable for PhD students and researchers interested in numerical approximation of partial differential equations and scientific computing.
| Author | : Willy Dörfler |
| Publisher | : Springer Nature |
| Total Pages | : 368 |
| Release | : 2023-03-30 |
| Genre | : Mathematics |
| ISBN | : 3031057937 |
Download Wave Phenomena Book in PDF, ePub and Kindle
This book presents the notes from the seminar on wave phenomena given in 2019 at the Mathematical Research Center in Oberwolfach. The research on wave-type problems is a fascinating and emerging field in mathematical research with many challenging applications in sciences and engineering. Profound investigations on waves require a strong interaction of several mathematical disciplines including functional analysis, partial differential equations, mathematical modeling, mathematical physics, numerical analysis, and scientific computing. The goal of this book is to present a comprehensive introduction to the research on wave phenomena. Starting with basic models for acoustic, elastic, and electro-magnetic waves, topics such as the existence of solutions for linear and some nonlinear material laws, efficient discretizations and solution methods in space and time, and the application to inverse parameter identification problems are covered. The aim of this book is to intertwine analysis and numerical mathematics for wave-type problems promoting thus cooperative research projects in this field.
| Author | : Boldrighini, Carlo |
| Publisher | : Universitätsverlag Potsdam |
| Total Pages | : 214 |
| Release | : 2020 |
| Genre | : Mathematics |
| ISBN | : 3869564857 |
Download Proceedings of the XI international conference Stochastic and Analytic Methods in Mathematical Physics Book in PDF, ePub and Kindle
The XI international conference Stochastic and Analytic Methods in Mathematical Physics was held in Yerevan 2 – 7 September 2019 and was dedicated to the memory of the great mathematician Robert Adol’fovich Minlos, who passed away in January 2018. The present volume collects a large majority of the contributions presented at the conference on the following domains of contemporary interest: classical and quantum statistical physics, mathematical methods in quantum mechanics, stochastic analysis, applications of point processes in statistical mechanics. The authors are specialists from Armenia, Czech Republic, Denmark, France, Germany, Italy, Japan, Lithuania, Russia, UK and Uzbekistan. A particular aim of this volume is to offer young scientists basic material in order to inspire their future research in the wide fields presented here.
| Author | : Aleksander Janicki |
| Publisher | : |
| Total Pages | : 247 |
| Release | : 1996 |
| Genre | : Stochastic differential equations |
| ISBN | : 9788390658704 |
Download Numerical and Statistical Approximation of Stochastic Differential Equations with Non-Gaussian Measures Book in PDF, ePub and Kindle
| Author | : G. F. Roach |
| Publisher | : Princeton University Press |
| Total Pages | : 399 |
| Release | : 2012-03-04 |
| Genre | : Mathematics |
| ISBN | : 0691142173 |
Download Mathematical Analysis of Deterministic and Stochastic Problems in Complex Media Electromagnetics Book in PDF, ePub and Kindle
Electromagnetic complex media are artificial materials that affect the propagation of electromagnetic waves in surprising ways not usually seen in nature. Because of their wide range of important applications, these materials have been intensely studied over the past twenty-five years, mainly from the perspectives of physics and engineering. But a body of rigorous mathematical theory has also gradually developed, and this is the first book to present that theory. Designed for researchers and advanced graduate students in applied mathematics, electrical engineering, and physics, this book introduces the electromagnetics of complex media through a systematic, state-of-the-art account of their mathematical theory. The book combines the study of well posedness, homogenization, and controllability of Maxwell equations complemented with constitutive relations describing complex media. The book treats deterministic and stochastic problems both in the frequency and time domains. It also covers computational aspects and scattering problems, among other important topics. Detailed appendices make the book self-contained in terms of mathematical prerequisites, and accessible to engineers and physicists as well as mathematicians.
| Author | : Ulrich Römer |
| Publisher | : Springer |
| Total Pages | : 114 |
| Release | : 2016-07-27 |
| Genre | : Technology & Engineering |
| ISBN | : 3319412949 |
Download Numerical Approximation of the Magnetoquasistatic Model with Uncertainties Book in PDF, ePub and Kindle
This book presents a comprehensive mathematical approach for solving stochastic magnetic field problems. It discusses variability in material properties and geometry, with an emphasis on the preservation of structural physical and mathematical properties. It especially addresses uncertainties in the computer simulation of magnetic fields originating from the manufacturing process. Uncertainties are quantified by approximating a stochastic reformulation of the governing partial differential equation, demonstrating how statistics of physical quantities of interest, such as Fourier harmonics in accelerator magnets, can be used to achieve robust designs. The book covers a number of key methods and results such as: a stochastic model of the geometry and material properties of magnetic devices based on measurement data; a detailed description of numerical algorithms based on sensitivities or on a higher-order collocation; an analysis of convergence and efficiency; and the application of the developed model and algorithms to uncertainty quantification in the complex magnet systems used in particle accelerators.
