A meshless symplectic algorithm for nonlinear wave equation using highly accurate RBFs quasi-interpolation

DOI10.1016/J.AMC.2017.07.010zbMath1427.65315OpenAlexW2734797761MaRDI QIDQ1740087

Shengliang Zhang, Yu Yang, Hong-Qiang Yang

Publication date: 29 April 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2017.07.010

zbMATH Keywords

radial basis functionssymplectic integratorHamiltonian PDEshigh-order quasi-interpolation

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Second-order semilinear hyperbolic equations (35L71) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)

Related Items (2)

Near conserving energy numerical schemes for two-dimensional coupled seismic wave equations ⋮ A flexible symplectic scheme for two-dimensional Schrödinger equation with highly accurate RBFS quasi-interpolation

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