A Continuous-Stage Modified Leap-Frog Scheme for High-Dimensional Semi-Linear Hamiltonian Wave Equations

DOI10.4208/NMTMA.OA-2019-0115zbMath1463.65407OpenAlexW3012000097MaRDI QIDQ5143968

Bin Wang, Xin-Yuan Wu, Yong Lei Fang

Publication date: 14 January 2021

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/nmtma.oa-2019-0115

zbMATH Keywords

Hamiltonian wave equationscontinuous-stage methodsmodified leap-frog scheme

Mathematics Subject Classification ID

Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

Related Items (3)

Geometric continuous-stage exponential energy-preserving integrators for charged-particle dynamics in a magnetic field from normal to strong regimes ⋮ Long-Time Oscillatory Energy Conservation of Total Energy-Preserving Methods for Highly Oscillatory Hamiltonian Systems ⋮ Exponential collocation methods based on continuous finite element approximations for efficiently solving the cubic Schrödinger equation

This page was built for publication: A Continuous-Stage Modified Leap-Frog Scheme for High-Dimensional Semi-Linear Hamiltonian Wave Equations