Construction of symplectic schemes for wave equations via hyperbolic functions \(\sinh(x)\), \(\cosh(x)\) and \(\tanh(x)\)

DOI10.1016/0898-1221(93)90326-QzbMath0787.65061MaRDI QIDQ1309710

Wenjie Zhu, Meng-Zhao Qin

Publication date: 6 January 1994

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

zbMATH Keywords

stabilityhyperbolic functionsHamiltonian systemswave equationssymplectic schemes

Mathematics Subject Classification ID

Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Orbital mechanics (70M20)

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Cites Work

• Multi-stage symplectic schemes of two kinds of Hamiltonian systems for wave equations
• Construction of higher order symplectic schemes by composition
• A note on stability of a three-stage difference scheme for ordinary differential equations
• Difference scheme for the dispersive equation
• An explicit difference method for the wave equation with extended stability range
• On the Location of Zeros of Certain Classes of Polynomials with Applications to Numerical Analysis
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