𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Discrete transparent boundary conditions for Schrödinger-type equations for non-compactly supported initial data

✍ Scribed by Matthias Ehrhardt

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
296 KB
Volume
58
Category
Article
ISSN
0168-9274

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Discrete Transparent Boundary Conditions
Discrete Transparent Boundary Conditions for Schrödinger-Type Equations
✍ Frank Schmidt; David Yevick 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 445 KB

We present a general technique for constructing nonlocal transparent boundary conditions for one-dimensional Schro ¨dinger-type solution of (1) only in a finite subdomain of ⍀ in order to equations. Our method supplies boundary conditions for theexamine the time evolution in the surrounding of a spe

Non-reflecting boundary conditions for t
Non-reflecting boundary conditions for the two-dimensional Schrödinger equation
✍ Achim Schädle 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 83 KB

Non-reflecting boundary conditions are introduced for the two-dimensional Fresnel/Schrödinger equation. These are nonlocal in time and in space. Time discretization is done by the trapezoidal rule in the interior and by convolution quadrature on the boundary. A convergence estimate is given for the

Local energy decay for linear wave equat
Local energy decay for linear wave equations with non-compactly supported initial data
✍ Ryo Ikehata 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 101 KB

## Abstract A local energy decay problem is studied to a typical linear wave equation in an exterior domain. For this purpose, we do not assume any compactness of the support on the initial data. This generalizes a previous famous result due to Morawetz (__Comm. Pure Appl. Math__. 1961; **14**:561–

On weakly convergent sequences in Banach
On weakly convergent sequences in Banach function spaces and the initial-boundary value problems for non-linear Klein–Gordon–Schrödinger equations
✍ Wang Baoxiang 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 123 KB 👁 2 views

In the paper, we shall prove that almost everywhere convergent bounded sequence in a Banach function space X is weakly convergent if and only if X and its dual space X\* have the order continuous norms. It follows that almost everywhere convergent bounded sequence in ¸N #¸N (1(p , p (R) is weakly co