Geometric Integrators for Differential Equations with Highly Oscillatory Solutions

DOI10.1007/978-981-16-0147-7OpenAlexW3204348208MaRDI QIDQ5010041

Bin Wang, Xin-Yuan Wu

Publication date: 24 August 2021

Full work available at URL: https://doi.org/10.1007/978-981-16-0147-7

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01) Numerical methods for ordinary differential equations (65Lxx)

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Long-time analysis of an extended RKN integrator for Hamiltonian systems with a solution-dependent high frequency ⋮ Arbitrarily high-order energy-conserving methods for Poisson problems ⋮ Structure-preserving algorithms with uniform error bound and long-time energy conservation for highly oscillatory Hamiltonian systems ⋮ An approach to solving Maxwell's equations in time domain

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