Symplectic Discretization of Hamiltonian Integral Equations with Applications to Nonlinear Wave Dynamics and Relativistic Orbits

We introduce a novel class of symplectic numerical schemes for solving nonlinear Volterra-type integral equations that arise from Hamiltonian systems subject to non-local interactions. The continuous integral equation is characterized by a Hamiltonian function H ( y ) and a kernel K ( t , s , y )...

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Vydané v:	Journal of nonlinear science Ročník 35; číslo 6; s. 115
Hlavný autor:	Cheng, Pengcheng
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	New York Springer US 01.12.2025 Springer Nature B.V
Predmet:	Accuracy Algorithms Analysis Classical Mechanics Collocation methods Economic Theory/Quantitative Economics/Mathematical Methods Energy conservation Error analysis Hamiltonian functions Hydrogen sulfide Integral equations Iterative methods Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Methods Nonlinear dynamics Numerical analysis Orbital mechanics Ordinary differential equations Physics Relativistic effects Schrodinger equation Simulation Solitary waves Symmetry Theoretical Gauss–Legendre collocation 65P10 Structure-preserving algorithms 65R20 Hamiltonian integral equations Symplectic discretization Volterra integral equations Geometric numerical integration
ISSN:	0938-8974, 1432-1467
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