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pro vyhledávání: '"Lu, Jingcheng"'
Motivated by the challenge of moment recovery in hydrodynamic approximation in kinetic theory, we propose a data-driven approach for the hydrodynamic models. Inspired by continuous data assimilation, our method introduces a relaxation-based nudging s
Externí odkaz:
http://arxiv.org/abs/2409.03872
Autor:
Lu, Jingcheng, Tadmor, Eitan
Slope limiters play an essential role in maintaining the non-oscillatory behavior of high-resolution methods for nonlinear conservation laws. The family of minmod limiters serves as the prototype example. Here, we revisit the question of non-oscillat
Externí odkaz:
http://arxiv.org/abs/2304.00437
We introduce a new Swarm-Based Gradient Descent (SBGD) method for non-convex optimization. The swarm consists of agents, each is identified with a position, ${\mathbf x}$, and mass, $m$. The key to their dynamics is communication: masses are being tr
Externí odkaz:
http://arxiv.org/abs/2211.17157
Autor:
Lu, Jingcheng, Baeder, James D.
In this study we consider unconditionally non-oscillatory, high order implicit time marching based on time-limiters. The first aspect of our work is to propose the high resolution Limited-DIRK3 (L-DIRK3) scheme for conservation laws and convection-di
Externí odkaz:
http://arxiv.org/abs/2210.14075
Autor:
Lu, Jingcheng, Tadmor, Eitan
We study the long-time hydrodynamic behavior of systems of multi-species which arise from agent-based description of alignment dynamics. The interaction between species is governed by an array of symmetric communication kernels. We prove that the cro
Externí odkaz:
http://arxiv.org/abs/2208.12411
Akademický článek
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Publikováno v:
American Journal of Rhinology & Allergy; Mar2024, Vol. 38 Issue 2, p108-115, 8p
Akademický článek
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Autor:
Lu, Jingcheng, Tadmor, Eitan
Publikováno v:
Communications on Applied Mathematics and Computation; 20240101, Issue: Preprints p1-30, 30p
Autor:
Lu, Jingcheng
In this thesis, we discuss the swarm dynamics in the modeling of flocking behavior and in the application to numerical optimization. In general, the research of swarm dynamics deals with the collective behavior of multi-agent systems, where interacti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7e58f9a9e2b0749f9f220a329bd10dee