Results 1 to 10 of about 287 (170)
SPINI: a structure-preserving neural integrator for hamiltonian dynamics and parametric perturbation [PDF]
Scientific ReportsStandard numerical solvers struggle with the long-term simulation of nonlinear Hamiltonian systems, often failing to preserve geometric structure and introducing unphysical errors.
Chengtian Liang +4 more
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Mathematics, 2023 Stability and convergence analyses of the multi-symplectic variational integrator for the nonlinear Schro¨dinger equation are discussed in this paper. The variational integrator is proved to be unconditionally linearly stable using the von Neumann method.
Siqi Lv, Zhihua Nie, Cuicui Liao
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Implicit symmetric and symplectic exponentially fitted modified Runge–Kutta–Nyström methods for solving oscillatory problems [PDF]
Journal of Inequalities and Applications, 2018 Symplectic exponentially fitted RK and RKN methods have been extensively studied by many researchers. Due to their good property, they have been applied to many problems such as pendulum, Morse oscillator, harmonic oscillator, Lennard–Jones oscillator ...
Bing Zhen Chen, Wen Juan Zhai
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WHFast512: A symplectic N-body integrator for planetary systems optimized with AVX512 instructions
The Open Journal of Astrophysics, 2023 We describe the implementation of the symplectic N-body integrator WHFast512 using Single Instruction Multiple Data (SIMD) parallelism and 512-bit Advanced Vector Extensions (AVX512).
Pejvak Javaheri, Hanno Rein, Dan Tamayo
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A Novel High-Order Symplectic Compact FDTD Schemes for Optical Waveguide Simulation
IEEE Photonics Journal, 2022 As a 2-D full-wave numerical algorithm in the time domain, the compact Finite Difference Time Domain (FDTD) is an efficient algorithm for eigenvalue analysis of optical waveguide system.
Xiaojing Kuang +5 more
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Positron, 2020 Penelitian ini meninjau galat energi dan galat fase dari metode forward 4th order symplectic Chin-Chen (F4OS-CC) untuk kasus sistem osilator harmonik sederhana.
Hasanuddin Hasanuddin
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The Astronomical Journal, 2023 Reliable studies of the long-term dynamics of planetary systems require numerical integrators that are accurate and fast. The challenge is often formidable because the chaotic nature of many systems requires relative numerical error bounds at or close to
Richard E. Zeebe
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Chaos in a Magnetized Brane-World Spacetime Using Explicit Symplectic Integrators
Universe, 2022 A brane-world metric with an external magnetic field is a modified theory of gravity. It is suitable for the description of compact sources on the brane such as stars and black holes.
Airong Hu, Guoqing Huang
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Stability Analysis on the Moon’s Rotation in a Perturbed Binary Asteroid
Mathematics, 2022 Numerical calculation provides essential tools for deep space exploration, which are indispensable to mission design and planetary research. In a specific case of binary asteroid defense such as the DART mission, an accurate understanding of the possible
Yunfeng Gao +4 more
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A symplectic integrator for molecular dynamics on a hypersphere
Condensed Matter Physics, 2020 We present a reversible and symplectic algorithm called ROLL, for integrating the equations of motion in molecular dynamics simulations of simple fluids on a hypersphere Sd of arbitrary dimension d. It is derived in the framework of geometric algebra and
J.-M. Caillol
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