搜索结果: 1-4 共查到“偏微分方程 Particle”相关记录4条 . 查询时间(0.156 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Deep learning of multi-scale PDEs based on data generated from particle methods
粒子方法 数据 多尺度 偏微分方程 深度学习
2023/4/26
Solving multi-scale PDEs is difficult in high-dimensional and/or convection-dominant cases. The interacting particle methods (IPM) are shown to outperform solving PDEs directly. Examples include compu...
Evolution Equations in Functional Derivatives of Many-Particle Systems
BBGKY hierarchy Liouville hierarchy generating functional functional derivative marginal observable
2011/8/25
Abstract: The hierarchies of evolution equations of classical many-particle systems are formulated as evolution equations in functional derivatives. In particular the BBGKY hierarchy for marginal dist...
Ratchet effect on a relativistic particle driven by external forces
Ratchet effect relativistic particle driven
2011/7/6
We study the ratchet effect of a damped relativistic particle driven by both asymmetric temporal bi-harmonic and time-periodic piecewise constant forces. This system can be formally solved for any ex...
Scattering of Solitons for Dirac Equation Coupled to a Particle
Scattering of Solitons Dirac Equation Coupled Particle
2011/1/21
We establish soliton-like asymptotics for finite energy solutions to the Dirac equation coupled to a relativistic particle. Any solution with initial state close to the solitary manifold, converges in...