Browsing Former Research Lines by Subject "Error analysis"

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A splitting method for the nonlinear Schrödinger equation

Ignat, L.I. (2011-12-31)

We introduce a splitting method for the semilinear Schrödinger equation and prove its convergence for those nonlinearities which can be handled by the classical well-posedness L2(Rd)-theory. More precisely, we prove that ...
Convergence rates for dispersive approximation schemes to nonlinear Schrödinger equations

Ignat, L.I.; Zuazua, E. (2012-12-31)

This article is devoted to the analysis of the convergence rates of several numerical approximation schemes for linear and nonlinear Schrödinger equations on the real line. Recently, the authors have introduced viscous and ...