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＜電子ブック＞
Time Dependent Phase Space Filters : A Stable Absorbing Boundary Condition / by Avy Soffer, Chris Stucchio, Minh-Binh Tran
(SpringerBriefs on PDEs and Data Science. ISSN:27317609)

版	1st ed. 2023.
出版者	(Singapore : Springer Nature Singapore : Imprint: Springer)
出版年	2023
本文言語	英語
大きさ	X, 140 p. 1 illus : online resource
著者標目	*Soffer, Avy author Stucchio, Chris author Tran, Minh-Binh author SpringerLink (Online service)
件　名	LCSH:Numerical analysis LCSH:Differential equations LCSH:System theory LCSH:Control theory LCSH:Fluid mechanics LCSH:Optics FREE:Numerical Analysis FREE:Differential Equations FREE:Systems Theory, Control FREE:Engineering Fluid Dynamics FREE:Optics and Photonics
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-981-19-6818-1

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