𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The space–time Sinc-Gallerkin method for parabolic problems

✍ Scribed by David L. Lewis; John Lund; Kenneth L. Bowers

Publisher
John Wiley and Sons
Year
1987
Tongue
English
Weight
726 KB
Volume
24
Category
Article
ISSN
0029-5981

No coin nor oath required. For personal study only.

✦ Synopsis

This paper contains the formulation of a space-time Sinc-Galerkin method for the numerical solution of the parabolic partial differential equation in one space dimension. The space^^ time adjective means that the Galerkin technique is employed simultaneously in time and space. Salient features of the method include: exponential rate of convergence, ease of assembly of the discrete system, a global approximation and the ability to handle singular problems. Two methods of solution for the discrete system are offered and numerical results for test problems, selected from the literature, are included.

📜 SIMILAR VOLUMES

The domain decomposition method for para
The domain decomposition method for parabolic transmission problems
✍ Alexander Pankov; Tatyana Pankova (Korovkina) 📂 Article 📅 1992 🏛 John Wiley and Sons 🌐 English ⚖ 587 KB

## Abstract An estimate of the rate of convergence is given for the domain decomposition method for the second‐order parabolic transmission problem. A brief discussion of the method and some of its applications are presented.

The Parabolic Spline Method (PSM) for co
The Parabolic Spline Method (PSM) for conservative transport problems
✍ M. Zerroukat; N. Wood; A. Staniforth 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 235 KB

A new and e cient parabolic spline based remapping algorithm is developed and tested herein. To ensure mass conservation, the scheme solves an integral form of the transport equation rather than the di erential form. The integrals are computed from reconstructed parabolic splines with mass conservat