02633nam 2200553 450 991076816880332120230801215818.0981-19-6818-710.1007/978-981-19-6818-1(MiAaPQ)EBC7246022(Au-PeEL)EBL7246022(DE-He213)978-981-19-6818-1(OCoLC)1378934494(PPN)270617213(EXLCZ)992658185600004120230801d2023 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierTime Dependent Phase Space Filters A Stable Absorbing Boundary Condition /Avy Soffer, Chris Stucchio, and Minh-Binh TranFirst edition.Singapore :Springer,[2023]©20231 online resource (145 pages)SpringerBriefs on PDEs and Data Science SeriesPrint version: Soffer, Avy Time Dependent Phase Space Filters Singapore : Springer,c2023 9789811968174 Includes bibliographical references.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.SpringerBriefs on PDEs and Data Science,2731-7609Differential equationsNumerical analysisSystem theoryDifferential equations.Numerical analysis.System theory.518Soffer Avy1452927Stucchio ChrisTran Minh-BinhMiAaPQMiAaPQMiAaPQBOOK9910768168803321Time Dependent Phase Space Filters3655340UNINA