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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 /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Time dependent phase space filters/ by Avy Soffer, Chris Stucchio, Minh-Binh Tran.
其他題名:	a stable absorbing boundary condition /
作者:	Soffer, Avy.
其他作者:	Stucchio, Chris.
出版者:	Singapore :Springer Nature Singapore : : 2023.,
面頁冊數:	x, 140 p. :ill., digital ;24 cm.
內容註:	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
標題:	Numerical analysis. -
電子資源:	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

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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
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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
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