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arXiv 2006-01-31 DOI 10.1088/0305-4470/39/22/L01 0 views

A variational sinc collocation method for strong-coupling problems

Amore, Paolo

Original · EN

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 ϕ⁴ 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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