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Wave Phenomena

Mathematical Analysis and Numerical Approximation

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Date
2023
Series
Oberwolfach Seminars;Vol. 49
Author
Dörfler, Willy
Hochbruck, Marlis
Köhler, Jonas
Rieder, Andreas
Schnaubelt, Roland
Wieners, Christian
Metadata
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OWS-49
Abstract
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.
Mathematics Subject Classification (MSC)
74 • 76 • 78 • 35 • 65
DOI
10.1007/978-3-031-05793-9
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Mathematisches Forschungsinstitut Oberwolfach copyright © 2017-2024 
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