English

A variational sinc collocation method for strong-coupling problems

Other Condensed Matter 2009-11-11 v1

Abstract

We have devised a variational sinc collocation method (VSCM) which can be used to obtain accurate numerical solutions to many strong-coupling problems. Sinc functions with an optimal grid spacing are used to solve the linear and non-linear Schr\"odinger equations and a lattice ϕ4\phi^4 model in (1+1)(1+1). Our results indicate that errors decrease exponentially with the number of grid points and that a limited numerical effort is needed to reach high precision.

Keywords

Cite

@article{arxiv.cond-mat/0601713,
  title  = {A variational sinc collocation method for strong-coupling problems},
  author = {Paolo Amore},
  journal= {arXiv preprint arXiv:cond-mat/0601713},
  year   = {2009}
}

Comments

4 pages, 6 figures