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检索条件"主题词=symplectic algorithms"
5 条 记 录,以下是1-10 订阅
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symplectic algorithms for Stable Manifolds in Control Theory
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IEEE TRANSACTIONS ON AUTOMATIC CONTROL 2022年 第6期67卷 3105-3111页
作者: Chen, Guoyuan Zhu, Gaosheng Zhejiang Univ Finance & Econ Sch Data Sci Hangzhou 310018 Peoples R China Harbin Inst Technol Sch Math Harbin 150001 Peoples R China
In this article, we propose a symplectic algorithm for the stable manifolds of the Hamilton-Jacobi equations combined with an iterative procedure in [N. Sakamoto and A. J. van der Schaft, "Analytical approximatio... 详细信息
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A generalized framework of neural networks for Hamiltonian systems
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JOURNAL OF COMPUTATIONAL PHYSICS 2025年 521卷
作者: Horn, Philipp Ulibarrena, Veronica Saz Koren, Barry Zwart, Simon Portegies Eindhoven Univ Technol Ctr Anal Sci Comp & Applicat Eindhoven Netherlands Leiden Univ Leiden Observ Leiden Netherlands
When solving Hamiltonian systems using numerical integrators, preserving the symplectic structure may be crucial for many problems. At the same time, solving chaotic or stiff problems requires integrators to approxima... 详细信息
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Structure-Preserving algorithms with Uniform Error Bound and Long-time Energy Conservation for Highly Oscillatory Hamiltonian Systems
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JOURNAL OF SCIENTIFIC COMPUTING 2023年 第3期95卷 66-66页
作者: Wang, Bin Jiang, Yaolin Xi An Jiao Tong Univ Sch Math & Stat Xian 710049 Peoples R China
Structure-preserving algorithms and algorithms with uniform error bound have constituted two interesting classes of numerical methods. In this paper, we blend these two kinds of methods for solving nonlinear systems w... 详细信息
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Mixed Lagrangian Formulation for Linear Thermoelastic Response of Structures
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JOURNAL OF ENGINEERING MECHANICS-ASCE 2012年 第5期138卷 508-518页
作者: Apostolakis, Georgios Dargush, Gary F. SUNY Buffalo Dept Mech & Aerosp Engn Buffalo NY 14260 USA
Although a complete unified theory for elasticity, plasticity, and damage does not yet exist, an approach on the basis of thermomechanical principles may be able to serve as the foundation for such a theory. With this... 详细信息
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RECONSIDERING TRIGONOMETRIC INTEGRATORS
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ANZIAM JOURNAL 2009年 第3期50卷 320-332页
作者: O'Neale, Dion R. J. McLachlan, Robert I. Massey Univ Inst Fundamental Sci Palmerston North New Zealand
In this paper we look at the performance of trigonometric integrators applied to highly oscillatory differential equations. It is widely known that sonic of the trigonometric integrators suffer from low-order resonanc... 详细信息
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