A variational sinc collocation method for strong-coupling problems

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 Schrödinger equations and a lattice ${\varphi }^4$ 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.

4 pages, 6 figures

References in corpus (4)

• Variational perturbation expansion for strong-coupling coefficients of the anharmonic oscillator
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• Strong-coupling-expansion analysis of the false-vacuum decay rate of the lattice phi^4 model in 1+1 dimensions

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