PhD in Mathematics
New York University, 2001
A Threshold Dislocation Dynamics Method
Article
Score-based Transport Modeling for Mean-Field Fokker-Planck Equations
Article
Weak solutions for a modified degenerate Cahn-Hilliard model for surface diffusion
Article
Conference paper
A continuum model for dislocation climb
Article
DOSnet as a non-black-box PDE solver: When deep learning meets operator splitting
Article
Article
Feature flow regularization: Improving structured sparsity in deep neural networks
Article
Stochastic Continuum Models for High-Entropy Alloys with Short-range Order
Article
Article
Nearly Optimal VC-Dimension and Pseudo-Dimension Bounds for Deep Neural Network Derivatives
Conference paper
Optimal Contextual Bandits with Knapsacks under Realizability via Regression Oracles
Conference paper
PF-ABGen: A Reliable and Efficient Antibody Generator via Poisson Flow
Conference paper
Article
An Efficient and Minimalist Scheme for Continuum Dislocation Dynamics
Article
Approximation of Functionals by Neural Network Without Curse of Dimensionality
Article
Article
CONTINUUM MODEL AND NUMERICAL METHOD FORDISLOCATION STRUCTURE AND ENERGY OF GRAINBOUNDARIES
Article
Article
Boundary condition for dislocation dynamic simulation in BCC crystal
Article
Cauchy–Born Rule and Stability of Crystalline Solids at Finite Temperature
Article
Continuum model for dislocation structures of semicoherent interfaces
Article
Article
Equation of motion for grain boundaries in polycrystals
Article
Finite temperature Cauchy-Born rule and stability of crystalline solids with point defects
Article
Phase field model for self-climb of prismatic dislocation loops by vacancy pipe diffusion
Article
Revisit of the Peierls-Nabarro model for edge dislocations in Hilbert space
Article
A new formulation of coupling and sliding motions of grain boundaries based on dislocation structure
Article
Article
Grain Boundary Triple Junction Dynamics: A Continuum Disconnection Model
Article
Perfectly matched layer method for optical modes in dielectric cavities
Article
Stochastic Peierls-Nabarro model for dislocations in high entropy alloys
Article
An elastic interaction based loss function for medical image segmentation
Conference paper
A Continuum Multi-Disconnection-Mode model for grain boundary migration
Article
Disconnection Description of Triple-junction Motion
Article
Dislocation dynamics formulation for self-climb of dislocation loops by vacancy pipe diffusion
Article
Perturbation model for optical modes in deformed disks
Article
The Effect of Randomness on the Strength of High-entropy Alloys
Article
A Continuum Model for Distributions of Dislocations Incorporating Short-range Interactions
Article
From Atomistic Model to the Peierls-Nabarro Model with Gamma-surface for Dislocations
Article
Motion of grain boundaries incorporating dislocation structure
Article
Role of Grain Boundaries under Long-Time Radiation
Article
Self-healing of low angle grain boundaries by vacancy diffusion and dislocation climb
Article
Stability of dislocation networks of low angle grain boundaries using a continuum energy formulation
Article
Article
An Efficient High Order Method for Dislocation Climb in Two Dimensions
Article
Dislocation Climb Models from Atomistic Scheme to Dislocation Dynamics
Article
Energy of Low Angle Grain Boundaries Based on Continuum Dislocation Structure
Article
Equation of Motion for a Grain Boundary
Article
Point Defect Sink Efficiency of Low-angle Tilt Grain Boundaries
Article
Article
Article
Homogenization of a Row of Dislocation Dipoles from Discrete Dislocation Dynamics
Article
Relaxation of Low-Angle Grain Boundary Structure by Climb of the Constituent Dislocations
Article
Structure and Energetics of Interlayer Dislocations in Bilayer Graphene
Article
The Role of Dislocation Pile-Up in Flow Stress Determination and Strain Hardening
Article
Twisted Bilayer Graphene: Moiré with a Twist
Article
Article
Article
Article
Article
Article
Structure and Energy of (111) Low-Angle Twist Boundaries in Al, Cu and Ni
Article
A Continuum Model for the Dynamics of Dislocation Arrays
Article
Asymptotic behaviors of the stress fields in the vicinity of dislocations and dislocation segments
Article
Article
Dislocation Dynamics in 2 + epsilon Dimensions: Slip Planes, Thin Films, and Grain Boundaries
Book chapter
Article
Dislocation Cross-Slip Mechanisms in Aluminum
Article
Loss of Interface Coherency Around a Misfitting Spherical Inclusion
Article
Stabilizing Force on Perturbed Grain Boundaries Using a Dislocation Model
Article
A New Version Fast Multipole Method for Evaluating the Stress Field of Dislocation Ensembles
Article
Computing Transition Rates of Thermally Activated Events in Dislocation Dynamics
Article
Continuum Model for Dislocation Dynamics in a Slip Plane
Article
Dislocation Cross-Slip in Heteroepitaxial Multilayer Films
Article
A generalized Peierls–Nabarro model for kinked dislocations
Article
Continuum approximation of the Peach–Koehler force on dislocations in a slip plane
Article
Article
Article
A Generalized Peierls-Nabarro Model for Curved Dislocations Using Discrete Fourier Transform
Article
Article
An active contour model for image segmentation based on elastic interaction
Article
An Integral Equation Method for Epitaxial Step-Flow Growth Simulations
Article
Dislocation Climb Effects on Particle Bypass Mechanisms
Article
Level set simulation of dislocation dynamics in thin films
Article
Modeling Dislocations at Different Scales
Article
Level Set Dislocation Dynamics Method
Book chapter
A New Active Contour Method Based on Elastic Interaction
Conference paper
Elastic Interaction Models for Active Contours and Surfaces
Conference paper
Level Set Simulations of Dislocation-particle Bypass Mechanisms
Article
Misfit Elastic Energy and a Continuum Model for Epitaxial Growth with Elasticity on Vicinal Surfaces
Article
A Level Set Method for Dislocation Dynamics
Article
Derivation of a Continuum Model for Epitaxial Growth with Elasticity on Vicinal Surface
Article
Nonlinear evolution equation for the stress-driven morphological instability
Article
An efficient step flow simulation scheme using potential theory
Conference paper
Boundary condition for dislocation dynamic simulation in BCC crystal
Cauchy–Born Rule and Stability of Crystalline Solids at Finite Temperature
Continuum model for dislocation structures of semicoherent interfaces
Finite temperature Cauchy-Born rule and stability of crystalline solids with point defects
Phase field model for self-climb of prismatic dislocation loops by vacancy pipe diffusion
Revisit of the Peierls-Nabarro model for edge dislocations in Hilbert space
A new formulation of coupling and sliding motions of grain boundaries based on dislocation structure
Grain Boundary Triple Junction Dynamics: A Continuum Disconnection Model
Perfectly matched layer method for optical modes in dielectric cavities
Stochastic Peierls-Nabarro model for dislocations in high entropy alloys
An elastic interaction based loss function for medical image segmentation
A Continuum Model for Distributions of Dislocations Incorporating Short-range Interactions
From Atomistic Model to the Peierls-Nabarro Model with Gamma-surface for Dislocations
Motion of grain boundaries incorporating dislocation structure
Self-healing of low angle grain boundaries by vacancy diffusion and dislocation climb
Stability of dislocation networks of low angle grain boundaries using a continuum energy formulation
Homogenization of a Row of Dislocation Dipoles from Discrete Dislocation Dynamics
Relaxation of Low-Angle Grain Boundary Structure by Climb of the Constituent Dislocations
Structure and Energetics of Interlayer Dislocations in Bilayer Graphene
The Role of Dislocation Pile-Up in Flow Stress Determination and Strain Hardening
An efficient step flow simulation scheme using potential theory
A Continuum Model for Distributions of Dislocations Incorporating Short-range Interactions
Article
From Atomistic Model to the Peierls-Nabarro Model with Gamma-surface for Dislocations
Article
Motion of grain boundaries incorporating dislocation structure
Article
Role of Grain Boundaries under Long-Time Radiation
Article
Self-healing of low angle grain boundaries by vacancy diffusion and dislocation climb
Article
Stability of dislocation networks of low angle grain boundaries using a continuum energy formulation
Article
Article
An Efficient High Order Method for Dislocation Climb in Two Dimensions
Article
Dislocation Climb Models from Atomistic Scheme to Dislocation Dynamics
Article
Energy of Low Angle Grain Boundaries Based on Continuum Dislocation Structure
Article
Equation of Motion for a Grain Boundary
Article
Point Defect Sink Efficiency of Low-angle Tilt Grain Boundaries
Article
Article
Article
Homogenization of a Row of Dislocation Dipoles from Discrete Dislocation Dynamics
Article
Relaxation of Low-Angle Grain Boundary Structure by Climb of the Constituent Dislocations
Article
Structure and Energetics of Interlayer Dislocations in Bilayer Graphene
Article
The Role of Dislocation Pile-Up in Flow Stress Determination and Strain Hardening
Article
Twisted Bilayer Graphene: Moiré with a Twist
Article
Article
Article
Article
Article
Article
Structure and Energy of (111) Low-Angle Twist Boundaries in Al, Cu and Ni
Article
A Continuum Model for the Dynamics of Dislocation Arrays
Article
Asymptotic behaviors of the stress fields in the vicinity of dislocations and dislocation segments
Article
Article
Dislocation Dynamics in 2 + epsilon Dimensions: Slip Planes, Thin Films, and Grain Boundaries
Book chapter
Article
Dislocation Cross-Slip Mechanisms in Aluminum
Article
Loss of Interface Coherency Around a Misfitting Spherical Inclusion
Article
Stabilizing Force on Perturbed Grain Boundaries Using a Dislocation Model
Article
A New Version Fast Multipole Method for Evaluating the Stress Field of Dislocation Ensembles
Article
Computing Transition Rates of Thermally Activated Events in Dislocation Dynamics
Article
Continuum Model for Dislocation Dynamics in a Slip Plane
Article
Dislocation Cross-Slip in Heteroepitaxial Multilayer Films
Article
A generalized Peierls–Nabarro model for kinked dislocations
Article
Continuum approximation of the Peach–Koehler force on dislocations in a slip plane
Article
Article
Article
A Generalized Peierls-Nabarro Model for Curved Dislocations Using Discrete Fourier Transform
Article
Article
An active contour model for image segmentation based on elastic interaction
Article
An Integral Equation Method for Epitaxial Step-Flow Growth Simulations
Article
Dislocation Climb Effects on Particle Bypass Mechanisms
Article
Level set simulation of dislocation dynamics in thin films
Article
Modeling Dislocations at Different Scales
Article
Level Set Dislocation Dynamics Method
Book chapter
A New Active Contour Method Based on Elastic Interaction
Conference paper
Elastic Interaction Models for Active Contours and Surfaces
Conference paper
Level Set Simulations of Dislocation-particle Bypass Mechanisms
Article
Misfit Elastic Energy and a Continuum Model for Epitaxial Growth with Elasticity on Vicinal Surfaces
Article
A Level Set Method for Dislocation Dynamics
Article
Derivation of a Continuum Model for Epitaxial Growth with Elasticity on Vicinal Surface
Article
Nonlinear evolution equation for the stress-driven morphological instability
Article
An efficient step flow simulation scheme using potential theory
Conference paper
MATH4999 | Independent Capstone Project |
MATH5351 | Mathematical Methods in Science and Engineering I |
MATH6915 | Scientific Computation Seminar |
MATH6915A | Scientific Computation Seminar |
MATH6916 | Student Seminars on Computation Related Research |
UROP1100N | Undergraduate Research Opportunities Series 1 |
MATH4351 | Numerical Solutions of Partial Differential Equations |
MATH4983D | Independent Study |
MATH4999 | Independent Capstone Project |
MATH6911V | Reading Course: Neural Network Methods for Solving PDEs |
MATH6915 | Scientific Computation Seminar |
MATH6915A | Scientific Computation Seminar |
MATH6916 | Student Seminars on Computation Related Research |
MSDM5004 | Numerical Methods and Modeling in Science |
MSDM6980 | Computational Modeling and Simulation Project |
MATH4052 | Partial Differential Equations |
MATH5351 | Mathematical Methods in Science and Engineering I |
MATH6911M | Reading Course: Introduction to Operator Learning |
MATH6915 | Scientific Computation Seminar |
MATH6915A | Scientific Computation Seminar |
MATH6916 | Student Seminars on Computation Related Research |
No Teaching Assignments |
No Teaching Assignments |
No Teaching Assignments |
HUANG, Xunpeng
Individualized Interdisciplinary Program (Artificial Intelligence)
LI, Fukang
Mathematics
SHI, Xiao
Mathematics
ZHANG, Weihong
Mathematics
CUI, Daorong
Mathematics
HE, Jiayi
Mathematics
HUANG, Yuntong
Mathematics
LI, Meng
Mathematics
WANG, Kaibo
Mathematics
LIU, Yonglin
Mathematics
WANG, Bingxin
Mathematics
YAN, Ningyu
Mathematics
CHEN, Chuqi
Mathematics
FENG, Yaxin
Mathematics
HU, Tiankai
Mathematics
JIN, Tianyu
Mathematics
XU, Junjun
(co-supervision)
Mechanical Engineering
ZENG, Jialin
Mathematics
HUANG, Chutian
Mathematics
FU, Xiaowen
Mathematics( Completed in 2024 )
FAN, Ganghua
(co-supervision)
Mathematics( Completed in 2023 )
LAN, Yuan
Mathematics( Completed in 2023 )
WU, Yue
(co-supervision)
Mathematics( Completed in 2023 )
YANG, Yahong
Mathematics( Completed in 2023 )
JIANG, Tianpeng
Mathematics( Completed in 2021 )
LIU, Honghao
(co-supervision)
Individualized Interdisciplinary Program (Data Science and Analytics)( Completed in 2022 )
TANAKA, Hiroki
Mathematics( Completed in 2022 )
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