Academic Journal
A linear system-free Gaussian RBFmethod for the Gross-Pitaevskii equation on unbounded domains
| العنوان: | A linear system-free Gaussian RBFmethod for the Gross-Pitaevskii equation on unbounded domains |
|---|---|
| المؤلفون: | Scott A. Sarra |
| المساهمون: | The Pennsylvania State University CiteSeerX Archives |
| المصدر: | http://scottsarra.org/math/papers/sarraLSFG.pdf. |
| سنة النشر: | 2012 |
| المجموعة: | CiteSeerX |
| مصطلحات موضوعية: | RBF interpolation, RBF collocation for PDEs, Numerical PDEs, Bose-Einstein Condensates |
| الوصف: | Gaussian Radial Basis Function (RBF) interpolation methods are theoretically spectrally accurate. However, in applications this accu-racy is seldom realized due to the necessity of solving a very poorly conditioned linear system in order to evaluate the methods. Recently, by using approximate cardinal functions and restricting the method to a uniformly spaced grid (or a smooth mapping thereof), it has been shown that the Gaussian RBF method can be formulated in a matrix free framework that does not involve solving a linear system [1]. In this work we differentiate the linear system-free Gaussian (LSFG) method and use it to solve Partial Differential Equations on unbounded do-mains that have solutions that decay rapidly and that are negligible at the ends of the grid. As an application, we use the LSFG collocation method to numerically simulate Bose-Einstein Condensates. |
| نوع الوثيقة: | text |
| وصف الملف: | application/pdf |
| اللغة: | English |
| Relation: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.668.8494; http://scottsarra.org/math/papers/sarraLSFG.pdf |
| الاتاحة: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.668.8494 http://scottsarra.org/math/papers/sarraLSFG.pdf |
| Rights: | Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| رقم الانضمام: | edsbas.F2BAA955 |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |