Research

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该部门有一个活跃的研究项目,并得到了美国宇航局的持续资助, NSF, EVMS, JLab, and the Commonwealth of Virginia. In the last decade, 在联邦R方面,该系一直在美国所有数学系中排名前20%&D expenditures.

Top 20%
全美数学系之最

John A. Adam
University Professor
  • 数学建模(特别是在癌症生物学和伤口愈合方面);
  • Theoretical meteorological optics
Przemyslaw Bogacki
Associate Chair, University Professor
  • Computer aided geometric design,
  • 常微分方程初值问题的数值解,
  • 技术在大学数学中的应用
N. Rao Chaganty
Statistics Program Director
  • Large deviations,
  • Generalized linear models,
  • Estimating equations
Raymond Cheng
 
  • Prediction theory,
  • Functional analysis
Norou Diawara
  • Multivariate analysis,
  • Modeling,
  • Probability theory,
  • Estimation
J. Mark Dorrepaal
  • Stokes flow,
  • Transform methods,
  • Asymptotic analysis
Fang Q. Hu
 
  • 紊流混合的计算流体
Sookyung Joo
  • 非线性偏微分方程;
  • Calculus of variations,
  • 液晶材料的数学建模与数值模拟
Hideaki Kaneko
 
  • 小波,积分方程的数值分析,
  • Finite element analysis,
  • Discontinuous Galerkin methods
John E. Kroll
  • Geophysical fluid dynamics,
  • Oceanography
D. Glenn Lasseigne
 
  • Combustion theory,
  • Application of integral equations
Li-Shi Luo
Richard F. 巴里杰出数学和统计学教授,杰出学者
  • 运动理论和非平衡统计力学,
  • Lattice Boltzmann equation and CFD,
  • Complex fluids
Gordon Melrose
Department Chair
  • Singular integral equations,
  • Special functions,
  • Fracture mechanics
Richard D. Noren
  • Volterra integral equations,
  • Fredholm和Hammerstein积分方程,
  • Discontinuous Galerkin method,
  • 普特南竞赛(与本科生合作)
Kayoung Park
  • 生存和纵向数据的联合建模,
  • Survival analysis
Yan Peng
  • Fluid dynamics,
  • Lattice Boltzmann equation,
  • Gas kinetic scheme,
  • High performance computation
Ke Shi
  • Numerical analysis,
  • Discontinuous Galerkin method,
  • 非均匀介质的多尺度有限元方法
Lucia Tabacu
  • Rank statistics,
  • Nonparametric factorial designs,
  • 基于几乎确定极限定理的分位数估计
John Tweed
Eminent Scholar
  • Integral equations,
  • Transform techniques,
  • Elasticity and fracture mechanics,
  • Acoustics,
  • Radiation transport
Xiang Xu
  • 非线性偏微分方程;
  • Calculus of variations
Yuesheng Xu
  • 数据科学:信号和图像处理, medical imaging, machine learning, high dimensional data representation
  • 计算数学:求解积分方程的多尺度方法, finite volume methods, bioinformatics, high-performance computing
Nail Yamaleev
  • 熵稳定谱配置方法;
  • Reduced-order modeling,
  • 基于误差最小化的网格自适应
  • Adjoint-based optimization methods,
  • Computational fluid dynamics

Ruhai Zhou

Graduate Program Director

  • Numerical analysis,
  • Scientific computation,
  • 液晶聚合物与纳米复合材料的数值模拟

PI

Francis Badavi:

  • IMPLEMENTATION OF A NEW MAGNETIC FIELD DEFINITION INTO THE LOW EARTH ORBIT (LEO) RADIATION ENVIRONMENT MODEL; NASA; $1,248,000; 2/1/2018 - 1/31/2023.

Norou Diawara:

  • 4-VA STATS IN THE BIOMEDICAL ACCELERATION ON IDIOPATHIC PULMONARY FIBROSIS RESEARCH: Old Dominion University; 1-1-2018 - 12-31-19; $5,000.

Fang Hu:

  • TD-FAST (Time Domain Fast Acoustic Scattering Toolkit); National Institute of Aerospace; $96,070; 2/26/2019 - 3/31/20.

Sookyung Joo:

  • COLLABORATIVE RESEARCH: FIELD-INDUCED MESOPHASES; National Science Foundation; $170,000; 8/15/19 - 8/14/22.
  • Mathematical Studies of Smectic Liquid Crystals: Simons Foundation; $28,000; 9/1/2015 - 8/31/2019.

Li-Shi Luo:

  • COLLABORATIVE RESEARCH: EFFICIENT HIGH-ORDER ALGORITHMS FOR NONEQUILIBRIUM MICROFLOWS OVER OVER THE ENTIRE RANGE OF KNUDSEN NUMBER; National Science Foundation; $162,500; 07/01/2017 - 06/30/2020.

Ke Shi:

  • New structure-preserving finite element methods for Magnetohydrodynamics; Simons Foundation; $42,000; 9/1/2019 - 8/31/2022.

Guohui Song:

  • Computational Algorithms Detecting Changes; National Science Foundation; $140,000; 8/1/19 -7/31/22.

John Tweed:

  • RADIATION SHIELDING STUDIES AND IMPROVED TRANSPORT METHODS: NASA; $844,775; 8/31/2014 - 3/31/2020.

Xiang Xu:

  • Dynamic Q-tensor theory for liquid crystals; Simons Foundation; $42,000; 9/1/2019 - 8/31/2022.

Yuesheng Xu:

  • Collaborative Research: Space Optimization in Large Scale Data Processing: A Multiscale Proximity Approach: National Science Foundation; $125,000; 7/1/2019-6/30/2021.
  • International Conference on Mathematics of Data Science: National Science Foundation; $15,000; 6/1/2018 - 11/30/2019.

Nail Yamaleev:

  • Physics-Based Spectral Collocation Methods for Large Eddy Simulation on Adaptive Grids; Army Research Office; $328,602; 10/01/17 - 09/30/21.

Ruhai Zhou:

  • COLLABORATIVE RESEARCH: KINETIC TO CONTINUUM MODELING OF ACTIVE ANISOTROPIC FLUIDS; National Science Foundation; $120,000; 9/15/2015 - 8/14/2018 (no cost extension to 8/14/2019).

Co-PI

Rao Chaganty:

  • CBP Data Analysis Support FY20; Old Dominion University (2%); $26,000; 7-1-19 - 6-30-20.

Norou Diawara:

  • IMPROVING INTEGRATED BEHAVIORAL HEALTH CARE TRAINING ACROSS THE LIFESPAN FOR MASTERS LEVEL COUNSELORS AND CLINICAL SUPERVISORS THROUGH TECHNOLOGY AND EXPERIENTIAL TRAINING Year 3; US DEPARTMENT OF HEALTH & HUMAN SERVICES (10%); $14,400; 7-1-17 - 8-31-20. PI: Mark Rehfuss, Co-PI: Jeffery Moe, C. Nesbitt, G. Kemer, A. Gupta, T. Gustin, N. Diawara.
  • 弗吉尼亚州安全带和核心调查2019:弗吉尼亚州机动车辆部, (50%); $81,368; 10/1/2018 - 9/30/2019. PI: B. Porter, Co-PI: N. Diawara.
  • Noyce Stem Teacher Active Recruitment (On Star); National Science Foundation, (25%); $18,750; 3/1/2019 - 2/29/2020. PI: M. Grant, Co-PI: R. Whittecar, M. Enderson, N. Diawara.

Hideaki Kaneko,

Fang Hu,

Katie Smith:

  • International Conference on Mathematics of Data Science: National Science Foundation; $15,000; 6/1/2018 - 11/30/2019. PI: Y. Xu, Co-PI: F. Hu, H. Kaneko, K. Smith.

Kayoung Park:

  • "Food Assistance, WIC合格儿童的饮食和体重状况"美国国立卫生研究院/尤尼斯肯尼迪施莱弗国立儿童健康研究所 & Human Development (R03HD090387-01); 12/08/2016 - 12/31/2019, (25%) $38,750, PI: Harry Zhang

Research Spotlight

Professor Fang Hu

胡方教授是计算流体力学领域享誉世界的学者. 自1990年以来,他获得了几笔外部赠款,总额超过100万美元. 目前,他得到了NIA的资助,名为“TD-FAST”。.

 

Photo of John Adam
Professor John Adam

约翰·亚当教授展示了自然世界中令人惊叹的各种形状和模式背后的潜在数学结构. Watch Nature's Mathematics Episode 1 and Episode 2.