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Time dependent phase space filtersa stable absorbing boundary condition /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Time dependent phase space filtersby Avy Soffer, Chris Stucchio, Minh-Binh Tran.
Reminder of title:	a stable absorbing boundary condition /
Author:	Soffer, Avy.
other author:	Stucchio, Chris.
Published:	Singapore :Springer Nature Singapore :2023.
Description:	x, 140 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Numerical analysis.
Online resource:	https://doi.org/10.1007/978-981-19-6818-1
ISBN:	9789811968181$q(electronic bk.)

Time dependent phase space filtersa stable absorbing boundary condition /
Soffer, Avy.

Time dependent phase space filtersa stable absorbing boundary condition /[electronic resource] :by Avy Soffer, Chris Stucchio, Minh-Binh Tran. - Singapore :Springer Nature Singapore :2023. - x, 140 p. :ill., digital ;24 cm. - SpringerBriefs on PDEs and data science,2731-7609. - SpringerBriefs on PDEs and data science..

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.

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.

ISBN: 9789811968181$q(electronic bk.)

Standard No.: 10.1007/978-981-19-6818-1doiSubjects--Topical Terms:

182073
Numerical analysis.

LC Class. No.: QA297

Dewey Class. No.: 518

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520 $a 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.
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