Overview
- Discusses about frames and their application in details
- Provides alternative approach to absorbing boundary conditions
- Presents derivation of accurate radiation conditions for Schrödinger equations
Part of the book series: SpringerBriefs on PDEs and Data Science (SBPDEDS)
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Table of contents (11 chapters)
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Front Matter
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Back Matter
Keywords
About this book
This book introduces an interesting and alternative way to design absorbing boundary conditions (ABCs) for quantum wave equations, basically the nonlinear Schrödinger equation. The focus of this book is the application of the phase space filter approach to derive accurate radiation conditions for Schrödinger equations.
Researchers who are interested in partial differential equations and mathematical physics might find this book appealing.
Authors and Affiliations
About the authors
Avy Soffer is a professor at the Department of Mathematics, Rutgers University. He obtained his PhD at Tel-Aviv University in Mathematical-Physics in 1984. He was a Sloan fellow in 1988, ICM invited speaker in 2006, and AMS Fellow in 2015.
Chris Stucchio is a product-focused data science and engineering researcher. He obtained his PhD at Rutgers University.
Minh-Binh Tran is a faculty in the mathematics department of Texas A&M University, USA. He obtained a PhD in applied mathematics at Université Sorbonne Paris Nord, France. He was a recipient of the NSF CAREER Award in 2021 and was a Humboldt Fellow in 2021.
Bibliographic Information
Book Title: Time Dependent Phase Space Filters
Book Subtitle: A Stable Absorbing Boundary Condition
Authors: Avy Soffer, Chris Stucchio, Minh-Binh Tran
Series Title: SpringerBriefs on PDEs and Data Science
DOI: https://doi.org/10.1007/978-981-19-6818-1
Publisher: Springer Singapore
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2023
Softcover ISBN: 978-981-19-6817-4Published: 05 May 2023
eBook ISBN: 978-981-19-6818-1Published: 04 May 2023
Series ISSN: 2731-7595
Series E-ISSN: 2731-7609
Edition Number: 1
Number of Pages: X, 140
Number of Illustrations: 1 b/w illustrations
Topics: Numerical Analysis, Analysis, Systems Theory, Control, Engineering Fluid Dynamics, Optics, Lasers, Photonics, Optical Devices