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检索条件"机构=Physics Department and Program in Applied and Computational Mathematics"
3211 条 记 录,以下是611-620 订阅
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Some observations on high-dimensional partial differential equations with barron data
arXiv
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arXiv 2020年
作者: Weinan, E. Wojtowytsch, Stephan Department of Mathematics Program for Applied and Computational Mathematics Princeton University PrincetonNJ08544 United States Program for Applied and Computational Mathematics Princeton University PrincetonNJ08544 United States
We use explicit representation formulas to show that solutions to certain partial differential equations lie in Barron spaces or multilayer spaces if the PDE data lie in such function spaces. Consequently, these solut... 详细信息
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Visualized Low-Energy Interference Structure with Attosecond Temporal Resolution
Visualized Low-Energy Interference Structure with Attosecond...
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第六届全国计算原子与分子物理学术会议
作者: Weifeng Yang Xianhuan Yu Xiaohong Song Cheng Lin Jing Chen Wei Quan Xiaojun Liu Department of Physics College of Science Shantou University Institute of Applied Physics and Computational Mathematics
<正>Accessing precisely to the phase variation of electronic wavepacket(EWP)provides unprece dented s patiotemporal information of microworld.A radial interference pattern at near zero energy has been widely obser...
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A priori estimates for classification problems using neural networks
arXiv
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arXiv 2020年
作者: Weinan, E. Wojtowytsch, Stephan Program for Applied and Computational Mathematics Department of Mathematics Princeton University PrincetonNJ08544 United States Program for Applied and Computational Mathematics Princeton University PrincetonNJ08544 United States
We consider binary and multi-class classification problems using hypothesis classes of neural networks. For a given hypothesis class, we use Rademacher complexity estimates and direct approximation theorems to obtain ... 详细信息
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Three-dimensional dynamics and transition to turbulence in the wake of bluff objects
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Journal of Fluid Mechanics 1992年 第1期238卷 1-30页
作者: Karniadakis, George Em Triantafyllou, George S. Department of Mechanical and Aerospace Engineering and Program of Applied and Computational Mathematics Princeton University Princeton NJ 08544 United States The Levich Institute and Department of Mechanical Engineering The City College of New York New York NY 10031 United States
The wakes of bluff objects and in particular of circular cylinders are known to undergo a ‘fast ’ transition, from a laminar two-dimensional state a t Reynolds number 200 to a turbulent state a t Reynolds number 400...
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Novel Conservative Methods for Schrödinger Equations with Variable Coefficients over Long Time
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Communications in computational physics 2014年 第3期15卷 692-711页
作者: Xu Qian Yaming Chen Songhe Song Department of Mathematics and Systems Science and State Key Laboratory of High Performance ComputingNational University of Defense TechnologyChangsha 410073P.R.China Program in Applied and Computational Mathematics Princeton UniversityPrincetonNJ 08544USA School of Mathematical Sciences Queen Mary University of LondonLondon E14NSUK
In this paper,we propose a wavelet collocation splitting(WCS)method,and a Fourier pseudospectral splitting(FPSS)method as comparison,for solving onedimensional and two-dimensional Schrödinger equations with varia... 详细信息
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Discovery of Partial Differential Equations from Highly Noisy and Sparse Data with physics-Informed Information Criterion
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Research 2024年 第1期2023卷 247-259页
作者: Hao Xu Junsheng Zeng Dongxiao Zhang BIC-ESAT EREand SKLTCSCollege of EngineeringPeking UniversityBeijing 100871P.R.China Institute of Applied Physics and Computational Mathematics Beijing 100088P.R.China Eastern Institute for Advanced Study Eastern Institute of TechnologyNingbo 315200ZhejiangP.R.China National Center for Applied Mathematics Shenzhen(NCAMS) Southern University of Science and TechnologyShenzhen 518055GuangdongP.R.China Department of Mathematics and Theories Peng Cheng LaboratoryShenzhen 518000GuangdongP.R.China
Data-driven discovery of partial differential equations(PDEs)has recently made tremendous progress,and many canonical PDEs have been discovered successfully for proof of ***,determining the most proper PDE without pri... 详细信息
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From point patterns to networks: to what extent does the Delaunay triangulation reproduce key spatial and density information?
arXiv
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arXiv 2025年
作者: Newby, Eli Shi, Wenlong Jiao, Yang Torquato, Salvatore Albert, Réka Department of Physics Pennsylvania State University University ParkPA16802 United States Department of Cardiovascular and Metabolic Sciences Lerner Research Institute Cleveland Clinic ClevelandOH44195 United States Arizona State University TempeAZ85287 United States Department of Chemistry Princeton University PrincetonNJ08544 United States Department of Physics Princeton University PrincetonNJ08544 United States Princeton Institute of Materials Princeton University PrincetonNJ08544 United States Program in Applied and Computational Mathematics Princeton University PrincetonNJ08544 United States Department of Biology Pennsylvania State University University ParkPA16802 United States
To be used as an analysis tool, it is important that a spatial network’s construction algorithm reproduces the structural properties of the original physical embedding. One method for converting a two-dimensional (2D... 详细信息
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Reducing Stress Level Cases of Hypogalactia Using Electric and Massage Stimulation Models  4
Reducing Stress Level Cases of Hypogalactia Using Electric a...
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4th International Conference on Energy, Environment, Epidemiology and Information System, ICENIS 2019
作者: Maula, Sheyla Najwatul Widyawati, Melyana Nurul Suryono, Suryono Post Graduate Applied Science Midwifery Program Poltekkes Kemenkes Semarang Indonesia Physics Department Faculty of Mathematics and Natural Sciences Diponegoro University Semarang Indonesia
Postpartum stress is very likely to take place as there are fluctuations in terms of feelings, pressure, anxiety, and guilt that may result in hypogalactia without proper treatment. Hypogalactia itself is an issue bre... 详细信息
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Densest local sphere-packing diversity. II. Application to three dimensions
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Physical Review E 2011年 第1期83卷 011304-011304页
作者: Adam B. Hopkins Frank H. Stillinger Salvatore Torquato Department of Chemistry and Department of Physics Princeton Center for Theoretical Science Princeton Institute for the Science and Technology of Materials Program in Applied and Computational Mathematics Princeton University Princeton New Jersey 08544 USA
The densest local packings of N three-dimensional identical nonoverlapping spheres within a radius Rmin(N) of a fixed central sphere of the same size are obtained for selected values of N up to N=1054. In the predeces... 详细信息
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Disordered strictly jammed binary sphere packings attain an anomalously large range of densities
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Physical Review E 2013年 第2期88卷 022205-022205页
作者: Adam B. Hopkins Frank H. Stillinger Salvatore Torquato Department of Chemistry Princeton Institute for the Science and Technology of Materials Department of Physics Princeton Center for Theoretical Science Program in Applied and Computational Mathematics Princeton University Princeton New Jersey 08544 USA
Previous attempts to simulate disordered binary sphere packings have been limited in producing mechanically stable, isostatic packings across a broad spectrum of packing fractions. Here we report that disordered stric... 详细信息
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