Generalized energy integrals and energy conserving numerical schemes for partial differential equations
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Publication:701912
DOI10.1007/BF03167470zbMath1064.65094MaRDI QIDQ701912
Masami Okada, Takanori Ide, Nobuyuki Fokuoka, Chiaki Hirota
Publication date: 14 January 2005
Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)
Toda latticeinitial-value problemsfinite-difference schemesnonlinear hyperbolic equationsenergy conserving scheme
First-order nonlinear hyperbolic equations (35L60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)
Related Items (2)
A wavelet collocation method for evolution equations with energy conservation property ⋮ Numerical simulation for a nonlinear partial differential equation with variable coefficients by means of the discrete variational derivative method
Cites Work
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- Recent progress in the theory and application of symplectic integrators
- Nonlinear normal modes for the Toda chain
- Two energy conserving numerical schemes for the sine-Gordon equation
- Numerical solution of a nonlinear Klein-Gordon equation
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- Solving Ordinary Differential Equations I
- Numerical Study on Wave Propagation in a Branched Lattice of LC Circuit.
- Finite Difference Calculus Invariant Structure of a Class of Algorithms for the Nonlinear Klein–Gordon Equation
- Weak solutions of nonlinear hyperbolic equations and their numerical computation
- Symmetric hyperbolic linear differential equations
- A stable and conservative finite difference scheme for the Cahn-Hilliard equation
- Finite-difference schemes for nonlinear wave equation that inherit energy conservation property
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