Browsing Computational Mathematics (CM) by Subject "Radii polynomials"

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Rigorous numerics for NLS: Bound states, spectra, and controllability

Castelli, R.; Teismann, H. (2015-12-31)

In this paper it is demonstrated how rigorous numerics may be applied to the one-dimensional nonlinear Schrödinger equation (NLS); specifically, to determining bound-state solutions and establishing certain spectral ...
Rigorous numerics for symmetric connecting orbits: Even homoclinics of the Gray-Scott equation

Van Den Berg, J.B.; Mireles-James, J.D.; Lessard, J.-P.; Mischaikow, K. (2011-12-31)

In this paper we propose a rigorous numerical technique for the computation of symmetric connecting orbits for ordinary differential equations. The idea is to solve a projected boundary value problem (BVP) in a function ...