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检索条件"机构=Department of Geosciences and Program in Applied and Computational Mathematics"
860 条 记 录,以下是261-270 订阅
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Coarse graining the dynamics of heterogeneous oscillators in networks with spectral gaps
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Physical Review E 2011年 第3期84卷 036708-036708页
作者: Karthikeyan Rajendran Ioannis G. Kevrekidis Department of Chemical and Biological Engineering Princeton University Princeton New Jersey 08544 USA Program in Applied and Computational Mathematics (PACM) Princeton University Princeton New Jersey 08544 USA
We present a computer-assisted approach to coarse graining the evolutionary dynamics of a system of nonidentical oscillators coupled through a (fixed) network structure. The existence of a spectral gap for the couplin... 详细信息
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Deuteration removes quantum dipolar defects from KDP crystals
arXiv
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arXiv 2024年
作者: Yang, Bingjia Xie, Pinchen Car, Roberto Department of Chemistry Princeton University PrincetonNJ08544 United States Program in Applied and Computational Mathematics Princeton University PrincetonNJ08544 United States Department of Chemistry Department of Physics Program in Applied and Computational Mathematics Princeton Materials Institute Princeton University PrincetonNJ08544 United States
The structural, dielectric, and thermodynamic properties of the hydrogen-bonded ferroelectric crystal potassium dihydrogen phosphate (KH2PO4), KDP for short, differ significantly from those of DKDP (KD2PO4) [1, 2]. It... 详细信息
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Applications of mean field games in financial engineering and economic theory
arXiv
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arXiv 2020年
作者: Carmona, René DEPARTMENT OF OPERATIONS RESEARCH & FINANCIAL ENGINEERING BENDHEIM CENTER FOR FINANCE PROGRAM IN APPLIED & COMPUTATIONAL MATHEMATICS PRINCETON UNIVERSITY United States
This is an expanded version of the lecture given at the AMS Short Course on Mean Field Games, on January 13, 2020 in Denver CO. The assignment was to discuss applications of Mean Field Games in finance and economics. ... 详细信息
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NOMAD: nonlinear manifold decoders for operator learning  22
NOMAD: nonlinear manifold decoders for operator learning
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Proceedings of the 36th International Conference on Neural Information Processing Systems
作者: Jacob H. Seidman Georgios Kissas Paris Perdikaris George J. Pappas Graduate Program in Applied Mathematics and Computational Science University of Pennsylvania Department of Mechanical Engineering and Applied Mechanics University of Pennsylvania Department of Electrical and Systems Engineering University of Pennsylvania
Supervised learning in function spaces is an emerging area of machine learning research with applications to the prediction of complex physical systems such as fluid flows, solid mechanics, and climate modeling. By di...
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NUMERICAL ANALYSIS OF ELLIPTIC HEMIVARIATIONAL INEQUALITIES FOR SEMIPERMEABLE MEDIA
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Journal of computational mathematics 2019年 第4期37卷 506-523页
作者: Weimin Han Ziping Huang Cheng Wang Wei Xu Program in Applied Mathematical and Computational Sciences (A MCS)& Department of Mathematics University of Iowa Iowa City IA 522/2 USA School of Mathematical Sciences Tongji University Shanghai 200092 China Tongji Zhejiang College J taxing 314051 China School of Mathematical Sciences Tojigji University Shanghai 200092 China School of Mathematical Sciences Tongji University Shanghai 200092 China Tongji Zhejiang College Jiaxing 314051 China
In this paper, we consider elliptic hemivariational inequalities arising in applications in semipermeable media. In its general form, the model includes both interior and boundary semipermeability terms. Detailed stud... 详细信息
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How SGD selects the global minima in over-parameterized learning: a dynamical stability perspective  18
How SGD selects the global minima in over-parameterized lear...
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Proceedings of the 32nd International Conference on Neural Information Processing Systems
作者: Lei Wu Chao Ma Weinan E. School of Mathematical Sciences Peking University Beijing P.R. China Program in Applied and Computational Mathematics Princeton University Princeton NJ Department of Mathematics and Program in Applied and Computational Mathematics Princeton University Princeton NJ and Beijing Institute of Big Data Research Beijing P.R. China
The question of which global minima are accessible by a stochastic gradient decent (SGD) algorithm with specific learning rate and batch size is studied from the perspective of dynamical stability. The concept of non-...
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Coarse Graining the Dynamics of Coupled Oscillators
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Physical Review Letters 2006年 第14期96卷 144101-144101页
作者: Sung Joon Moon R. Ghanem I. G. Kevrekidis Department of Chemical Engineering & Program in Applied and Computational Mathematics (PACM) Princeton University Princeton New Jersey 08544 USA Department of Civil Engineering University of Southern California Los Angeles California 90089 USA
We present an equation-free computational approach to the study of the coarse-grained dynamics of finite assemblies of nonidentical coupled oscillators at and near full synchronization. We use coarse-grained observabl... 详细信息
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Direct minimization of the optimized effective problem based on efficient finite differences
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Physical Review B 2011年 第16期84卷 165122-165122页
作者: Chen Huang Emily A. Carter Department of Mechanical and Aerospace Engineering Program in Applied and Computational Mathematics and the Andlinger Center for Energy and the Environment Princeton University Princeton New Jersey 08544-5263 USA
To avoid the difficult-to-solve optimized effective potential (OEP) integral equation, we introduce an efficient direct minimization scheme for performing OEP calculations within Kohn–Sham density functional theory (... 详细信息
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Minuscule corrections to near-surface solar internal rotation using mode-coupling
arXiv
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arXiv 2023年
作者: Das, Srijan Bharati Kashyap, Samarth G. Oktay, Deniz Hanasoge, Shravan M. Tromp, Jeroen Department of Geosciences Princeton University PrincetonNJ United States Department of Astronomy and Astrophysics Tata Institute of Fundamental Research Mumbai India Department of Computer Science Princeton University PrincetonNJ United States Department of Geosciences and Program in Applied & Computational Mathematics Princeton University PrincetonNJ United States
The observed solar oscillation spectrum is influenced by internal perturbations such as flows and structural asphericities. These features induce splitting of characteristic frequencies and distort the resonant-mode e... 详细信息
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Angular momentum dependent orbital-free density functional theory: Formulation and implementation
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Physical Review B 2014年 第15期89卷 155112-155112页
作者: Youqi Ke Florian Libisch Junchao Xia Emily A. Carter []Department of Mechanical and Aerospace Engineering Program in Applied and Computational Mathematics and Andlinger Center for Energy and the Environment Princeton University Princeton New Jersey 08544-5263 USA
Orbital-free density functional theory (OFDFT) directly solves for the ground-state electron density. It scales linearly with respect to system size, providing a promising tool for large-scale material simulations. Re... 详细信息
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