One-stage exponential integrators for nonlinear Schrödinger equations over long times
2012 (English)In: BIT Numerical Mathematics, ISSN 0006-3835, E-ISSN 1572-9125, Vol. 52, no 4, 877-903 p.Article in journal (Refereed) Published
Near-conservation over long times of the actions, of the energy, of the mass and of the momentum along the numerical solution of the cubic Schrödinger equation with small initial data is shown. Spectral discretization in space and one-stage exponential integrators in time are used. The proofs use modulated Fourier expansions.
Place, publisher, year, edition, pages
Springer, 2012. Vol. 52, no 4, 877-903 p.
Nonlinear Schrödinger equation, Exponential integrators, Long-time behaviour, Near-conservation of actions, energy, mass and momentum, Modulated Fourier expansion
IdentifiersURN: urn:nbn:se:umu:diva-59179DOI: 10.1007/s10543-012-0385-1OAI: oai:DiVA.org:umu-59179DiVA: diva2:551390