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Record Nr. |
UNINA9910768168803321 |
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Autore |
Soffer Avy |
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Titolo |
Time Dependent Phase Space Filters : A Stable Absorbing Boundary Condition / / by Avy Soffer, Chris Stucchio, Minh-Binh Tran |
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Pubbl/distr/stampa |
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Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2023 |
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ISBN |
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Edizione |
[1st ed. 2023.] |
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Descrizione fisica |
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1 online resource (145 pages) |
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Collana |
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SpringerBriefs on PDEs and Data Science, , 2731-7609 |
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Disciplina |
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Soggetti |
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Numerical analysis |
Differential equations |
System theory |
Control theory |
Fluid mechanics |
Optics |
Numerical Analysis |
Differential Equations |
Systems Theory, Control |
Engineering Fluid Dynamics |
Optics and Photonics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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 |
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