Bibliograph

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

Type

Label

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

Language

eng

resource.imageBitDepth

Literary Form

non fiction

Main title

Time Dependent Phase Space Filters

Medium

electronic resource

Nature of contents

dictionaries

Responsibility statement

by Avy Soffer, Chris Stucchio, Minh-Binh Tran

Series statement

SpringerBriefs on PDEs and Data Science,, 2731-7609Springer eBooks.

Sub title

A Stable Absorbing Boundary Condition

Summary

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.--, Provided by publisher

Table Of Contents

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

Contributor

Creator