1.

Record Nr.

UNINA9910768168803321

Autore

Soffer Avy

Titolo

Time Dependent Phase Space Filters : A Stable Absorbing Boundary Condition / / Avy Soffer, Chris Stucchio, and Minh-Binh Tran

Pubbl/distr/stampa

Singapore : , : Springer, , [2023]

©2023

ISBN

981-19-6818-7

Edizione

[First edition.]

Descrizione fisica

1 online resource (145 pages)

Collana

SpringerBriefs on PDEs and Data Science Series

Disciplina

518

Soggetti

Differential equations

Numerical analysis

System theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

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.

Sommario/riassunto

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.