A novel nonlocal potential solver based on nonuniform FFT for efficient simulation of the Davey−Stewartson equations

DOI10.1051/m2an/2016071zbMath1375.35387arXiv1409.2014OpenAlexW2964198408MaRDI QIDQ5367332

Yong Zhang, Norbert J. Mauser, Hans Peter Stimming

Publication date: 13 October 2017

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.2014

zbMATH Keywords

Davey-Stewartson equationsnonuniform FFTnonlocal potential solver

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Numerical methods for discrete and fast Fourier transforms (65T50) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (5)

The Anisotropic Truncated Kernel Method for Convolution with Free-Space Green's Functions ⋮ Accurate and efficient computation of nonlocal potentials based on Gaussian-sum approximation ⋮ High precision numerical approach for Davey–Stewartson II type equations for Schwartz class initial data ⋮ Galerkin methods for the Davey-Stewartson equations ⋮ Computing the ground state and dynamics of the nonlinear Schrödinger equation with nonlocal interactions via the nonuniform FFT

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