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

Cited by in corpus (5)

• Perfect fluid quantum Universe in the presence of negative cosmological constant
• Solving the Helmholtz equation for membranes of arbitrary shape
• Variational collocation on finite intervals
• A new representation for non--local operators and path integrals
• Comment to ``Quantization of FRW spacetimes in the presence of a cosmological constant and radiation''