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010   $a981-19-6818-7
024 7 $a10.1007/978-981-19-6818-1
035   $a(MiAaPQ)EBC7246022
035   $a(Au-PeEL)EBL7246022
035   $a(DE-He213)978-981-19-6818-1
035   $a(OCoLC)1378934494
035   $a(PPN)270617213
035   $a(CKB)26581856000041
035   $a(EXLCZ)9926581856000041
100   $a20230504d2023      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aTime Dependent Phase Space Filters $eA Stable Absorbing Boundary Condition /$fby Avy Soffer, Chris Stucchio, Minh-Binh Tran
205   $a1st ed. 2023.
210  1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2023.
215   $a1 online resource (145 pages)
225 1 $aSpringerBriefs on PDEs and Data Science,$x2731-7609
311 08$aPrint version: Soffer, Avy Time Dependent Phase Space Filters Singapore : Springer,c2023 9789811968174 
320   $aIncludes bibliographical references.
327   $aIntroduction -- 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.
330   $aThis book introduces an interesting and alternative way to design absorbing boundary conditions (ABCs) for quantum wave equations, basically the nonlinear Schrödinger equation. The focus of this book is the application of the phase space filter approach to derive accurate radiation conditions for Schrödinger equations. Researchers who are interested in partial differential equations and mathematical physics might find this book appealing.
410  0$aSpringerBriefs on PDEs and Data Science,$x2731-7609
606   $aNumerical analysis
606   $aDifferential equations
606   $aSystem theory
606   $aControl theory
606   $aFluid mechanics
606   $aOptics
606   $aNumerical Analysis
606   $aDifferential Equations
606   $aSystems Theory, Control
606   $aEngineering Fluid Dynamics
606   $aOptics and Photonics
615  0$aNumerical analysis.
615  0$aDifferential equations.
615  0$aSystem theory.
615  0$aControl theory.
615  0$aFluid mechanics.
615  0$aOptics.
615 14$aNumerical Analysis.
615 24$aDifferential Equations.
615 24$aSystems Theory, Control.
615 24$aEngineering Fluid Dynamics.
615 24$aOptics and Photonics.
676   $a518
700   $aSoffer$b Avy$01452927
702   $aStucchio$b Chris
702   $aTran$b Minh-Binh
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910768168803321
996   $aTime Dependent Phase Space Filters$93655340
997   $aUNINA