A variational sinc collocation method for strong-coupling problems

Details A variational sinc collocation method for strong-coupling problems A variational sinc collocation method for strong-coupling problems

2006-01-31

arxiv.org/abs/cond-mat/0601713v1

Journal of Physics A 39, L349-L355 (2006)

Physics

Condensed Matter

Other Condensed Matter

4 pages, 6 figures

Scientific paper

10.1088/0305-4470/39/22/L01

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 $\phi^4$ model in $(1+1)$. 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.

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