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Wave phenomenamathematical analysis and numerical approximation /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Wave phenomenaby Willy Dörfler ... [et al.].
Reminder of title:	mathematical analysis and numerical approximation /
other author:	Dörfler, Willy.
Published:	Cham :Springer International Publishing :2023.
Description:	xiv, 368 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	WavesMathematical models.
Online resource:	https://doi.org/10.1007/978-3-031-05793-9
ISBN:	9783031057939$q(electronic bk.)

Wave phenomenamathematical analysis and numerical approximation /
Wave phenomenamathematical analysis and numerical approximation /[electronic resource] :by Willy Dörfler ... [et al.]. - Cham :Springer International Publishing :2023. - xiv, 368 p. :ill., digital ;24 cm. - Oberwolfach seminars,v. 492296-5041 ;. - Oberwolfach seminars ;44..

Space-time approximations for linear acoustic, elastic, and electro-magnetic wave equations -- Local wellposedness and long-time behavior of quasilinear Maxwell equations -- Error analysis of second-order time integration methods for discontinuous Galerkin discretizations of Friedrichs' systems -- An abstract framework for inverse wave problems with applications.

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.

ISBN: 9783031057939$q(electronic bk.)

Standard No.: 10.1007/978-3-031-05793-9doiSubjects--Topical Terms:

648059
Waves
--Mathematical models.

LC Class. No.: QC157

Dewey Class. No.: 531.1133015118

Wave phenomenamathematical analysis and numerical approximation /
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505 0 $a Space-time approximations for linear acoustic, elastic, and electro-magnetic wave equations -- Local wellposedness and long-time behavior of quasilinear Maxwell equations -- Error analysis of second-order time integration methods for discontinuous Galerkin discretizations of Friedrichs' systems -- An abstract framework for inverse wave problems with applications.
520 $a 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.
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