✦ LIBER ✦

Numerical Mathematics and Advanced Applications 2009 || Stable Perfectly Matched Layers for the Schrödinger Equations

✍ Scribed by Kreiss, Gunilla; Lötstedt, Per; Målqvist, Axel; Neytcheva, Maya

Book ID: 120570019
Publisher: Springer Berlin Heidelberg
Year: 2010
Tongue: German
Weight: 227 KB
Edition: 2010
Category: Article
ISBN: 3642117953
DOI: 10.1007/978-3-642-11795-4_30

No coin nor oath required. For personal study only.

✦ Synopsis

xxx

📜 SIMILAR VOLUMES

Mathematical and Numerical Aspects of Wa

Mathematical and Numerical Aspects of Wave Propagation WAVES 2003 || A New Construction of Perfectly Matched Layers for Hyperbolic Systems with Applications to the Linearized Euler Equations

✍ Cohen, Gary C.; Joly, Patrick; Heikkola, Erkki; Neittaanmäki, Pekka 📂 Article 📅 2003 🏛 Springer Berlin Heidelberg ⚖ 639 KB

Stable and efficient numerical method fo

Stable and efficient numerical method for solving the Schrödinger equation to determine the response of tunneling electrons to a laser pulse

✍ Mark J. Hagmann 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 390 KB 👁 1 views

The form ⌿ x, t s F x q F x, t e q F x, t e e is 0 1 y1 used for the wave function in the transient solutions. This expression is similar to the three dominant terms in the steady-state solution from the Floquet theory, except that now F and F depend on t as well as x. The function F is the static

A new variable-step method for the numer

A new variable-step method for the numerical integration of special second-order initial value problems and their application to the one-dimensional Schrödinger equation

✍ T.E. Simos 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 470 KB

[Lecture Notes in Computer Science] Nume

[Lecture Notes in Computer Science] Numerical Methods and Applications Volume 2542 || Kantorovich Method for Solving the Multi-dimensional Eigenvalue and Scattering Problems of Schrödinger Equation

✍ Dimov, Ivan; Lirkov, Ivan; Margenov, Svetozar; Zlatev, Zahari 📂 Article 📅 2003 🏛 Springer Berlin Heidelberg ⚖ 180 KB

Numerical Mathematics and Advanced Appli

Numerical Mathematics and Advanced Applications 2009 Volume 178 || Multigrid Finite Element Method on Semi-Structured Grids for the Poroelasticity Problem

✍ Kreiss, Gunilla; Lötstedt, Per; Målqvist, Axel; Neytcheva, Maya 📂 Article 📅 2010 🏛 Springer Berlin Heidelberg 🌐 German ⚖ 507 KB

xxx

High-order methods with minimal phase-la

High-order methods with minimal phase-lag for the numerical integration of the special second-order initial value problem and their application to the one-dimensional Schrödinger equation

✍ T.E. Simos 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 277 KB

Two two-step sixth-order methods with phase-lag of order eight and ten are developed for the numerical integration of the special second-order initial value problem. One of these methods is P-stable and the other has an interval of periodicity larger than the Numerov method. An application to the on