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Time dependent phase space filters =...

Soffer, Avy.

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Time dependent phase space filters = a stable absorbing boundary condition /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Time dependent phase space filters/ by 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.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Numerical analysis. -
Online resource:	https://doi.org/10.1007/978-981-19-6818-1
ISBN:	9789811968181

Time dependent phase space filters = a 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

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

517751
Numerical analysis.

LC Class. No.: QA297

Dewey Class. No.: 518

Time dependent phase space filters = a stable absorbing boundary condition /
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100 1 $a Soffer, Avy. $3 3632401
245 1 0 $a Time dependent phase space filters $h [electronic resource] : $b a stable absorbing boundary condition / $c by Avy Soffer, Chris Stucchio, Minh-Binh Tran.
260 $a Singapore : $b Springer Nature Singapore : $b Imprint: Springer, $c 2023.
300 $a x, 140 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs on PDEs and data science, $x 2731-7609
505 0 $a 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.
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.
650 0 $a Numerical analysis. $3 517751
650 0 $a Differential equations. $3 517952
650 0 $a System theory. $3 525574
650 1 4 $a Numerical Analysis. $3 892626
650 2 4 $a Differential Equations. $3 907890
650 2 4 $a Systems Theory, Control. $3 893834
650 2 4 $a Engineering Fluid Dynamics. $3 891349
650 2 4 $a Optics and Photonics. $3 1060604
700 1 $a Stucchio, Chris. $3 3632402
700 1 $a Tran, Minh-Binh. $3 3632403
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a SpringerBriefs on PDEs and data science. $3 3632373
856 4 0 $u https://doi.org/10.1007/978-981-19-6818-1
950 $a Mathematics and Statistics (SpringerNature-11649)