Two exponential-type integrators for the ``good Boussinesq equation

DOI10.1007/s00211-019-01064-4zbMath1428.35425arXiv1902.07478OpenAlexW2964830467WikidataQ115609014 ScholiaQ115609014MaRDI QIDQ2334061

Alexander Ostermann, Chun-Mei Su

Publication date: 6 November 2019

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.07478

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (12)

Energy-preserving exponential integrators of arbitrarily high order for conservative or dissipative systems with highly oscillatory solutions ⋮ An Embedded Exponential-Type Low-Regularity Integrator for mKdV Equation ⋮ An exponential integrator sine pseudospectral method for the generalized improved Boussinesq equation ⋮ A symmetric low-regularity integrator for nonlinear Klein-Gordon equation ⋮ Fourier integrator for periodic NLS: low regularity estimates via discrete Bourgain spaces ⋮ A semi-discrete first-order low regularity exponential integrator for the ``good Boussinesq equation without loss of regularity ⋮ Low regularity integrators for semilinear parabolic equations with maximum bound principles ⋮ Computing Semigroups with Error Control ⋮ High-order half-step compact numerical approximation for fourth-order parabolic PDEs ⋮ A Deuflhard-type exponential integrator Fourier pseudo-spectral method for the ``good Boussinesq equation ⋮ A General Framework of Low Regularity Integrators ⋮ Resonance-based schemes for dispersive equations via decorated trees

Cites Work

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