Time dependent phase space filters : a stable absorbing boundary condition / Avy Soffer, Chris Stucchio, Minh-Binh Tran.
Soffer, Avy (Avraham); Stucchio, Chris.; Tran, Minh-Binh.
2023
QA297
Available Online

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Title
Time dependent phase space filters : a stable absorbing boundary condition / Avy Soffer, Chris Stucchio, Minh-Binh Tran.
Author
Soffer, Avy (Avraham)
ISBN
9789811968181 (electronic bk.)
9811968187 (electronic bk.)
9811968179
9789811968174
DOI
https://doi.org/10.1007/978-981-19-6818-1
Publication Details
Singapore : Springer, 2023.
Language
English
Description
1 online resource (145 p.).
Item Number
10.1007/978-981-19-6818-1 doi
Call Number
QA297
Dewey Decimal Classification
518
Summary
This book introduces an interesting and alternative way to design absorbing boundary conditions (ABCs) for quantum wave equations, basically the nonlinear Schrdinger equation. The focus of this book is the application of the phase space filter approach to derive accurate radiation conditions for Schrdinger equations. Researchers who are interested in partial differential equations and mathematical physics might find this book appealing.
Bibliography, etc. Note
Includes bibliographical references.
Access Note
Access limited to authorized users.
Added Author
Stucchio, Chris.
Tran, Minh-Binh.
Series
SpringerBriefs on PDEs and data science.
Available in Other Form
Time Dependent Phase Space Filters
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Introduction
Absorbing Potentials and Perfectly Matched Layers
Windowed Fourier Transforms and Space Phase Numerics
Description of Time Dependent Phase Space Filters
A More Practical Discussion: How to Choose the Parameters
The Behavior of Gaussian Framelets under the Free Flow
Assumptions and Accuracy Estimates
Discussions on the Assumptions
Proof of Theorem 7.5.6
Proof of Theorems 7.5.4 and 7.5.5
Numerical Experiments.

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