Semi-discrete Fourier spectral approximations of infinite dimensional Hamiltonian systems and conservation laws

DOI10.1016/0898-1221(91)90247-2zbMath0715.70015OpenAlexW2053004826MaRDI QIDQ751874

Dao-Liu Wang

Publication date: 1991

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(91)90247-2

zbMATH Keywords

infinite dimensional Hamiltonian systemssemi-discrete Fourier spectral approximationsymplectic numerical method

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (4)

Some aspects of Hamiltonian systems and symplectic algorithms ⋮ Legendre polynomials spectral approximation for the infinite-dimensional Hamiltonian systems ⋮ A Galerkin Splitting Symplectic Method for the Two Dimensional Nonlinear Schrödinger Equation ⋮ Approximations for KdV equation as a Hamiltonian system

Cites Work

• Hamiltonian operators and algebraic structures related to them
• Mathematics of dispersive water waves
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