One-stage exponential integrators for nonlinear Schrödinger equations over long times

• 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.

Subject headings

NATURVETENSKAP  -- Matematik -- Beräkningsmatematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Computational Mathematics (hsv//eng)

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Keyword

Nonlinear Schrödinger equation

Exponential integrators

Long-time behaviour

Near-conservation of actions

energy

mass and momentum

Modulated Fourier expansion

Publication and Content Type

ref (subject category)

art (subject category)