Avy Soffer,
Chris Stucchio,
Minh-Binh Tran
Springer Nature Singapore
e druk, 2023
9789811968174
Time Dependent Phase Space Filters
A Stable Absorbing Boundary Condition
Specificaties
Paperback, blz.
|
Engels
Springer Nature Singapore |
e druk, 2023
ISBN13: 9789811968174
Rubricering
Onderdeel van serie
SpringerBriefs on PDEs and Data Science
Verwachte levertijd ongeveer 9 werkdagen
Samenvatting
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.
Specificaties
ISBN13:9789811968174
Taal:Engels
Bindwijze:paperback
Uitgever:Springer Nature Singapore
Inhoudsopgave
<p>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.</p><p> </p>
