Results 71 to 80 of about 1,079 (166)
Preservation of Adiabatic Invariants under Symplectic Discretization
Symplectic methods, like the Verlet method, are a standard tool for the long term integration of Hamiltonian systems as they arise, for example, in molecular dynamics.
Preprint Sc +2 more
core
SPH Simulates Steep‐Stepped Spillway Flows Assessing Convergence, DDT Effects, and Pressure Accuracy
Numerical investigation of high‐gradient stepped spillway flows using the SPH method, highlighting the simulation setup and skimming flow regime. Convergence analysis compares results with and without the Density Diffusion Term (DDT), showing its effectiveness in reducing spurious oscillations.
Eduardo Masaji Endo +3 more
wiley +1 more source
New Insight of Time-transformed Symplectic Integrator. I. Hybrid Methods for Hierarchical Triples
Accurate N -body simulations of multiple systems such as binaries and triples are essential for understanding the formation and evolution of interacting binaries and binary mergers, including gravitational wave sources, blue stragglers, and X-ray ...
Long Wang
doaj +1 more source
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré +4 more
wiley +1 more source
Comparing one-shot and multi-shot methods for solving periodic of Riccati differential equations
- One-shot methods and recently proposed multi-shot methods for computing stabilizing solutions of continuoustime periodic Riccati differential equations are examined and evaluated on two test problems.
Varga, Andreas +2 more
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Symplectic Structures on the Integration of Exact Courant Algebroids
We construct an infinite-dimensional symplectic 2-groupoid as the integration of an exact Courant algebroid. We show that every integrable Dirac structure integrates to a “Lagrangian” sub-2-groupoid of this symplectic 2-groupoid.
Xiang Tang +3 more
core +1 more source
Under the dual carbon objectives, wind power penetration has accelerated markedly. However, the inherent volatility and insufficient peak regulation capability in energy storage allocation hamper efficient grid integration.
Kai Qi +4 more
doaj +1 more source
Stable Symplectic Integrators for Power Systems [PDF]
The paper illustrates the application of symplectic integrators obtained by composition for solving power system consisting of several machines. The multi-machine angular swings during and following fault conditions and clearing are investigated. Numerical results obtained using symplectic integrators were found to be comparable to those obtained using
Daniel Okunbor, Emmanuel Akinjide
openaire +1 more source
Symplectic integration of hierarchical stellar systems
Symplectic integration has been used successfully for many years now for the study of dynamics in planetary systems. This technique takes advantage of the fact that in a planetary system, the mass of the central body is much larger than all the other ...
H. Beust
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Symplectic Integration of Bar Linkage Motion Equations
학위논문 (석사)-- 서울대학교 대학원 : 기계항공공학부, 2016. 2. 조맹효.In this study, the motion and the qualitative behaviour of an unconstrained simple bar-linkage which is under the influence of different types of forces is studied. Standard non-symplectic integration methods
David Van Isacker
core

