NUMERICAL-INTEGRATION OF (2-2 VALUED FUNCTIONS(1) DIMENSIONAL PDES FOR S)

Authors
PIETTE B ZAKRZEWSKI WJ
Citation
B. Piette et Wj. Zakrzewski, NUMERICAL-INTEGRATION OF (2-2 VALUED FUNCTIONS(1) DIMENSIONAL PDES FOR S), Journal of computational physics (Print), 145(1), 1998, pp. 359-381
Citations number
12
Categorie Soggetti
Computer Science Interdisciplinary Applications","Physycs, Mathematical","Computer Science Interdisciplinary Applications","Physycs, Mathematical
Journal title
Journal of computational physics (Print) → ACNP
ISSN journal
00219991
Volume
145
Issue
1
Year of publication
1998
Pages
359 - 381
Database
ISI
SICI code
0021-9991(1998)145:1<359:NO(VFD>2.0.ZU;2-B
Abstract
We investigate the accuracy of various numerical methods used to simul ate the time evolution of partial differential equations for functions valued in S-2. We use three different methods to describe the fields: a unit length vector, the polar angles, and a complex field. We deriv e some nonlinear finite difference operators and we compare the differ ent methods used in simulations. For the time integration, we employ b oth the 4th order Runge-Kutta and the leapfrog methods. (C) 1998 Acade mic Press.