maxiang

XIANG, Yang
項陽

(PhD New York)

Phone: (852) 2358 7430
Email: maxiang@ust.hk
Office: Room 3425
Home Page

Professor



Research Interests

Mathematical Modeling and Simulation in Materials Science; Numerical Analysis and Scientific Computing; Image Processing

Teaching

  • MATH4351  Numerical Solutions of Partial Differential Equations
  • MATH6911V  Reading Course: Neural Network Methods for Solving PDEs
  • MATH6915  Scientific Computation Seminar
  • MATH6915A  Scientific Computation Seminar
  • MATH6916  Student Seminars on Computation Related Research

Awards & Honors

  • Invited Speaker for 2021 SIAM Conference on Mathematical Aspects of Materials Science   (2021)

Selected Publications

  Article

  1. DOSnet as a non-black-box PDE solver: When deep learning meets operator splitting
    • Author(s): Lan, Yuan; Li, Zhen; Sun, Jie; Xiang, Yang
    • Source: Journal of Computational Physics, v. 491, October 2023, article number 112343
    • Year: 2023

  2. A continuum model for dislocation climb
    • Author(s): Huang, Chutian; Dai, Shuyang; Niu, Xiaohua; Jiang, Tianpeng; Yang, Zhijian; Gu, Yejun; Xiang, Yang
    • Source: International Journal of Plasticity, v. 168, September 2023, article number 103700
    • Year: 2023

  3. Existence, Uniqueness and Energy Scaling of (2+1)-Dimensional Continuum Model for Stepped Epitaxial Surfaces with Elastic Effects
    • Author(s): Fan, Ganghua; Luo, Tao; Xiang, Yang
    • Source: CSIAM Transactions on Applied Mathematics, v. 4, (3), April 2023, p. 419-450
    • Year: 2023

  4. Feature flow regularization: Improving structured sparsity in deep neural networks
    • Author(s): Wu, Yue; Lan, Yuan; Zhang, Luchan; Xiang, Yang
    • Source: Neural Networks, v. 161, April 2023, p. 598-613
    • Year: 2023

  5. Weak Solutions to an Initial-Boundary Value Problem for a Continuum Equation of Motion of Grain Boundaries
    • Author(s): Zhu, Peicheng; Yu, Lei; Xiang, Yang
    • Source: Discrete and Continuous Dynamical Systems - Series B, v. 28, (3), March 2023, p. 1610-1631
    • Year: 2023

  6. Stochastic Continuum Models for High-Entropy Alloys with Short-range Order
    • Author(s): Yang, Yahong; Zhang, Luchan; Xiang, Yang
    • Source: Multiscale Modeling & Simulation, v. 21, (4), December 2023, p. 1323-1343
    • Year: 2023

  7. Approximation of Functionals by Neural Network Without Curse of Dimensionality
    • Author(s): Yang, Yahong; Xiang, Yang
    • Source: Journal of Machine Learning, v. 1, (4), December 2022, p. 342-372
    • Year: 2022

  8. Computation of transverse-electric polarized optical eigenstates in dielectric systems based on perfectly matched layer
    • Author(s): Jiang, Tianpeng; Xiang, Yang
    • Source: Physical Review E, v. 105, (4), 13 April 2022, article number 045309
    • Year: 2022

  9. A Three-Dimensional Continuum Simulation Method for Grain Boundary Motion Incorporating Dislocation Structure
    • Author(s): Qin, Xiaoxue; Zhang, Luchan; Xiang, Yang
    • Source: Journal Of Scientific Computing, v. 90, (1), January 2022, article number 3
    • Year: 2022

  10. CONTINUUM MODEL AND NUMERICAL METHOD FORDISLOCATION STRUCTURE AND ENERGY OF GRAINBOUNDARIES
    • Author(s): Qin, Xiaoxue; Gu, Yejun; Zhang, Luchan; Xiang, Yang
    • Source: Multiscale Modeling & Simulation, v. 20, (1), 17 March 2022, p. 323-348
    • Year: 2022

  11. An Efficient and Minimalist Scheme for Continuum Dislocation Dynamics
    • Author(s): Kalaei, Alireza; Xiang, Yang; Ngan, Alfonso H.W.
    • Source: International Journal of Plasticity, v. 158, November 2022, article number 103433
    • Year: 2022

  12. Convergence from atomistic model to peierls-nabarro model for dislocations in bilayer system with complex lattice
    • Author(s): Yang, Yahong; Luo, Tao; Xiang, Yang
    • Source: Communications in Mathematical Sciences, v. 20, (4), April 2022, p. 947-986
    • Year: 2022

  13. Revisit of the Peierls-Nabarro model for edge dislocations in Hilbert space
    • Author(s): Gao, Yuan; Liu, Jian Guo; Luo, Tao; Xiang, Yang
    • Source: Discrete and Continuous Dynamical Systems - Series B, v. 26, (6), June 2021, p. 3177-3207
    • Year: 2021

  14. Cauchy–Born Rule and Stability of Crystalline Solids at Finite Temperature
    • Author(s): Luo, Tao; Xiang, Yang; Yang, Jerry Zhijian; Yuan, Cheng
    • Source: Communications in Mathematical Sciences, v. 19, (6), August 2021, p. 1461-1490
    • Year: 2021

  15. Equation of motion for grain boundaries in polycrystals
    • Author(s): Zhang, Luchan; Han, Jian; Srolovitz, David J.; Xiang, Yang
    • Source: npj Computational Materials, v. 7, (1), May 2021, article number 64
    • Year: 2021

  16. Continuum model for dislocation structures of semicoherent interfaces
    • Author(s): Zhang, Luchan; Qin, Xiaoxue; Xiang, Yang
    • Source: Computational Materials Science, v. 190, April 2021, article number 110277
    • Year: 2021

  17. Energy Scaling and Asymptotic Properties of One-Dimensional Discrete System with Generalized Lennard-Jones (m, n) Interaction
    • Author(s): Luo, Tao; Xiang, Yang; Yip, Nung Kwan
    • Source: Journal of Nonlinear Science, v. 31, (2), April 2021, article number 43
    • Year: 2021

  18. Phase field model for self-climb of prismatic dislocation loops by vacancy pipe diffusion
    • Author(s): Niu, Xiaohua; Xiang, Yang; Yan, Xiaodong
    • Source: International Journal of Plasticity, v. 141, June 2021, article number 102977
    • Year: 2021

  19. Boundary condition for dislocation dynamic simulation in BCC crystal
    • Author(s): Dai, Shuyang; Wang, Fengru; Xiang, Yang; Yang, Jerry Zhijian; Yuan, Cheng
    • Source: CSIAM Transactions on Applied Mathematics, v. 2, (1), February 2021, p. 175-194
    • Year: 2021

  20. Finite temperature Cauchy-Born rule and stability of crystalline solids with point defects
    • Author(s): Luo, Tao; Xiang, Yang; Yang, Jerry Zhijian
    • Source: Multiscale modeling & simulation, v. 19, (4), November 2021, p. 1710-1735
    • Year: 2021

  21. Stochastic Peierls-Nabarro model for dislocations in high entropy alloys
    • Author(s): Jiang, Tianpeng; Xiang, Yang; Zhang, Luchan
    • Source: SIAM Journal on Applied Mathematics, v. 80, (6), December 2020, p. 2496-2517
    • Year: 2020

  22. Grain Boundary Triple Junction Dynamics: A Continuum Disconnection Model
    • Author(s): Wei, Chaozhen; Zhang, Luchan; Han, Jian; Srolovitz, David J.; Xiang, Yang
    • Source: SIAM Journal on Applied Mathematics, v. 80, (3), 2020, p. 1101-1122
    • Year: 2020

  23. Characterisation of dislocation patterning behaviour with a continuum dislocation dynamics model on two parallel slip planes equipped with a deep neural network resolving local microstructures
    • Author(s): Zhou, Zhengcheng; Zhu, Yichao; Luo, Jing; Xiang, Yang; Guo, Xu
    • Source: International Journal of Solids and Structures, v. 198, August 2020, p. 57-71
    • Year: 2020

  24. Perfectly matched layer method for optical modes in dielectric cavities
    • Author(s): Jiang, Tianpeng; Xiang, Yang
    • Source: Physical Review A, v. 102, (5), 5 November 2020, article number 053704
    • Year: 2020

  25. A new formulation of coupling and sliding motions of grain boundaries based on dislocation structure
    • Author(s): Zhang, Luchan; Xiang, Yang
    • Source: SIAM Journal on Applied Mathematics, v. 80, (6), November 2020, p. 2365-2387
    • Year: 2020

  26. A Continuum Multi-Disconnection-Mode model for grain boundary migration
    • Author(s): Wei, Chaozhen; Thomas, Spencer L.; Han, Jian; Srolovitz, David J.; Xiang, Yang
    • Source: Journal of the Mechanics and Physics of Solids, v.133, December 2019, article number 103731
    • Year: 2019

  27. Perturbation model for optical modes in deformed disks
    • Author(s): Jiang, Tianpeng; Xiang, Yang
    • Source: Physical Review A, v. 99, (2), February 2019, article number 023847
    • Year: 2019

  28. Dislocation dynamics formulation for self-climb of dislocation loops by vacancy pipe diffusion
    • Author(s): Niu, Xiaohua; Gu, Yejun; Xiang, Yang
    • Source: International Journal of Plasticity, v. 120, September 2019, p. 262-277
    • Year: 2019

  29. Disconnection Description of Triple-junction Motion
    • Author(s): Thomas, Spencer L.; Wei, Chaozhen; Han, Jian; Xiang, Yang; Srolovitz, David J.
    • Source: Proceedings of the National Academy of Sciences of the United States of America, v. 116, (18), April 2019, p. 8756-8765
    • Year: 2019

  30. The Effect of Randomness on the Strength of High-entropy Alloys
    • Author(s): Zhang, Luchan; Xiang, Yang; Han, Jian; Srolovitz, David J.
    • Source: Acta Materialia, v. 166, March 2019, p. 424-434
    • Year: 2019

  31. From Atomistic Model to the Peierls-Nabarro Model with Gamma-surface for Dislocations
    • Author(s): Luo, Tao; Ming, Pingbing; Xiang, Yang
    • Source: Archive for Rational Mechanics and Analysis, v. 230, (2), November 2018, p. 735-781
    • Year: 2018

  32. Motion of grain boundaries incorporating dislocation structure
    • Author(s): Zhang, Luchan; Xiang, Yang
    • Source: Journal of the Mechanics and Physics of Solids, v. 117, August 2018, p. 157-178
    • Year: 2018

  33. Stability of dislocation networks of low angle grain boundaries using a continuum energy formulation
    • Author(s): Xiang, Yang; Yan, Xiaodong
    • Source: Discrete and Continuous Dynamical Systems - Series B, v. 23, (8), October 2018, p. 2989-3021
    • Year: 2018

  34. Role of Grain Boundaries under Long-Time Radiation
    • Author(s): Zhu, Yichao; Guo, Xu; Luo, Jing; Xiang, Yang; Chapman, Stephen Jonathan
    • Source: Physical Review Letters, v. 120, (22), May 2018, article number 222501
    • Year: 2018

  35. A Continuum Model for Distributions of Dislocations Incorporating Short-range Interactions
    • Author(s): Niu, Xiaohua; Zhu, Yichao; Dai, Shuyang; Xiang, Yang
    • Source: Communications in Mathematical Sciences, v. 16, (2), 2018, p. 491-522
    • Year: 2018

  36. Self-healing of low angle grain boundaries by vacancy diffusion and dislocation climb
    • Author(s): Gu, Yejun; Xiang, Yang; Srolovitz, David J.; El-awady, Jaafar A.
    • Source: Scripta Materialia, v. 155, October 2018, p. 155-159
    • Year: 2018

  37. Dislocation Climb Models from Atomistic Scheme to Dislocation Dynamics
    • Author(s): Niu, Xiaohua; Luo, Tao; Lu, Jianfeng; Xiang, Yang
    • Source: Journal of the Mechanics and Physics of Solids, v. 99, February 2017, p. 242-258
    • Year: 2017

  38. An Efficient High Order Method for Dislocation Climb in Two Dimensions
    • Author(s): Jiang, Shidong; Rachh, Manas; Xiang, Yang
    • Source: Multiscale Modeling and Simulation, v. 15, (1), 2017, p. 235-253
    • Year: 2017

  39. Energy of Low Angle Grain Boundaries Based on Continuum Dislocation Structure
    • Author(s): Zhang, Luchan; Gu, Yejun; Xiang, Yang
    • Source: Acta Materialia, v. 126, March 2017, p. 11-24
    • Year: 2017

  40. A Three-Scale Homogenisation Approach to the Prediction of Long-Time Absorption of Radiation Induced Interstitials by Nanovoids at Interfaces
    • Author(s): Zhu, Yichao; Wang, Jian; Xiang, Yang; Guo, Xu
    • Source: Journal of the Mechanics and Physics of Solids, v. 105, August 2017, p. 1-20
    • Year: 2017

  41. Point Defect Sink Efficiency of Low-angle Tilt Grain Boundaries
    • Author(s): Gu, Yejun; Han, Jian; Dai, Shuyang; Zhu, Yichao; Xiang, Yang; Srolovitz, David J.
    • Source: Journal of the Mechanics and Physics of Solids, v. 101, April 2017, p. 166-179
    • Year: 2017

  42. Equation of Motion for a Grain Boundary
    • Author(s): Zhang, Luchan; Han, Jian; Xiang, Yang; Srolovitz, David J
    • Source: Physical Review Letters, v. 119, (24), 12 December 2017, article number 246101
    • Year: 2017

  43. The Role of Dislocation Pile-Up in Flow Stress Determination and Strain Hardening
    • Author(s): Zhu, Yichao; Xiang, Yang; Schulz, Katrin V.
    • Source: Scripta Materialia, v. 116, April 2016, p. 53-56
    • Year: 2016

  44. Twisted Bilayer Graphene: Moiré with a Twist
    • Author(s): Dai, Shuyang; Xiang, Yang; Srolovitz, David J.
    • Source: Nano Letters, v. 16, (9), September 2016, p. 5923-5927
    • Year: 2016

  45. Structure and Energetics of Interlayer Dislocations in Bilayer Graphene
    • Author(s): Dai, Shuyang; Xiang, Yang; Srolovitz, David J.
    • Source: Physical Review B, v. 93, (8), February 2016, article number 085410
    • Year: 2016

  46. Homogenization of a Row of Dislocation Dipoles from Discrete Dislocation Dynamics
    • Author(s): Chapman, Stephen Jonathan; Xiang, Yang; Zhu, Yichao
    • Source: SIAM Journal on Applied Mathematics, v. 76, (2), April 2016, p. 750-775
    • Year: 2016

  47. Continuum Dynamics of the Formation, Migration and Dissociation of Self-Locked Dislocation Structures on Parallel Slip Planes
    • Author(s): Zhu, Yichao; Niu, Xiaohua; Xiang, Yang
    • Source: Journal of the Mechanics and Physics of Solids, v. 96, November 2016, p. 369-387
    • Year: 2016

  48. Energy Scaling and Asymptotic Properties of Step Bunching in Epitaxial Growth with Elasticity Effects
    • Author(s): Luo, Tao; Xiang, Yang; Yip, Nung Kwan
    • Source: Multiscale Modeling and Simulation, v. 14, (2), 2016, p. 737-771
    • Year: 2016

  49. Relaxation of Low-Angle Grain Boundary Structure by Climb of the Constituent Dislocations
    • Author(s): Gu, Yejun; Xiang, Yang; Srolovitz, David J.
    • Source: Scripta Materialia, v. 114, March 2016, p. 35-40
    • Year: 2016

  50. A Numerical Scheme for Generalized Peierls-Nabarro Model of Dislocations Based on the Fast Multipole Method and Iterative Grid Redistribution
    • Author(s): Zhu, Aiyu; Jin, Congming; Zhao, Degang; Xiang, Yang; Huang, Jingfeng
    • Source: Communications in Computational Physics, v. 18, (5), November 2015, p. 1282-1312
    • Year: 2015

  51. A Continuum Model for Dislocation Dynamics in Three Dimensions Using the Dislocation Density Potential Functions and its Application to Micro-Pillars
    • Author(s): Zhu, Yichao; Xiang, Yang
    • Source: Journal of the Mechanics and Physics of Solids, v. 84, November 2015, p. 230-253
    • Year: 2015

  52. Three-dimensional formulation of dislocation climb
    • Author(s): Gu, Yejun; Xiang, Yang; Quek, Siu Sin; Srolovitz, David J.
    • Source: Journal of the Mechanics and Physics of Solids, v. 83, October 2015, p. 319-337
    • Year: 2015

  53. Continuum framework for dislocation structure, energy and dynamics of dislocation arrays and low angle grain boundaries
    • Author(s): Zhu, Xiaohong; Xiang, Yang
    • Source: Journal of the Mechanics and Physics of Solids, v. 69, September 2014, p. 175-194
    • Year: 2014

  54. Atomistic, generalized Peierls–Nabarro and analytical models for (1 1 1) twist boundaries in Al, Cu and Ni for all twist angles
    • Author(s): Dai, Shuyang; Xiang, Yang; Srolovitz, David J.
    • Source: Acta Materialia, v. 69, May 2014, p. 162-174
    • Year: 2014

  55. A continuum model for dislocation dynamics incorporating Frank–Read sources and Hall–Petch relation in two dimensions
    • Author(s): Zhu, Yichao; Wang, Hanquan; Zhu, Xiaohong; Xiang, Yang
    • Source: International Journal of Plasticity, v. 60, September 2014, p. 19-39
    • Year: 2014

  56. Numerical Simulation of Dynamics of Dislocation Arrays and Long-Range Stress Fields of Nonplanar Dislocation Arrays
    • Author(s): Zhu, Xiaohong; Dai, Shuyang; Xiang, Yang
    • Source: International Journal of Plasticity, v. 43, April 2013, p. 85-100
    • Year: 2013

  57. Structure and Energy of (111) Low-Angle Twist Boundaries in Al, Cu and Ni
    • Author(s): Dai, Shuyang; Xiang, Yang; Srolovitz, David J.
    • Source: Acta Materialia, v. 61, (4), February 2013, p. 1327-1337
    • Year: 2013

  58. An Adaptive Level Set Method Based on Two-Level Uniform Meshes and its Application to Dislocation Dynamics
    • Author(s): Wang, Hanquan; Xiang, Yang
    • Source: International Journal for Numerical Methods in Engineering, v. 94, (6), May 2013, p. 573-597
    • Year: 2013

  59. A Continuum Model for the Dynamics of Dislocation Arrays
    • Author(s): Zhu, Xiaohong; Xiang, Yang
    • Source: Communications in Mathematical Sciences, v. 10, (4), 2012, p. 1081-1103
    • Year: 2012

  60. Fast Multipole Accelerated Boundary Integral Equation Method for Evaluating the Stress Field Associated with Dislocations in a Finite Medium
    • Author(s): Zhao, Degang; Huang, Jingfang; Xiang, Yang
    • Source: Communications in Computational Physics, v. 12, (1), July 2012, p. 226-246
    • Year: 2012

  61. Asymptotic behaviors of the stress fields in the vicinity of dislocations and dislocation segments
    • Author(s): Zhao, Degang; Wang, Hanquan; Xiang, Yang
    • Source: Philosophical Magazine, v. 92, (18), June 2012, p. 2351-2374
    • Year: 2012

  62. A Continuum Model for Core Relaxation of Incoherent Twin Boundaries Based on the Peierls-Nabarro Framework
    • Author(s): Dai, Shuyang; Xiang, Yang; Zhang, Tongyi
    • Source: Scripta Materialia, v. 64, (5), March 2011, p. 438-441
    • Year: 2011

  63. Dislocation Cross-Slip Mechanisms in Aluminum
    • Author(s): Jin, Congming; Xiang, Yang; Lu, Gang
    • Source: Philosophical Magazine, v. 91, (32), November 2011, p. 4109-4125
    • Year: 2011

  64. Loss of Interface Coherency Around a Misfitting Spherical Inclusion
    • Author(s): Quek, Siu Sin; Xiang, Yang; Srolovitz, David J.
    • Source: Acta Materialia, v. 59, (14), August 2011, p. 5398-5410
    • Year: 2011

  65. Stabilizing Force on Perturbed Grain Boundaries Using a Dislocation Model
    • Author(s): Zhu, Xiaohong; Xiang, Yang
    • Source: Scripta Materialia, v. 64, (1), January 2011, p. 5-8
    • Year: 2011

  66. A New Version Fast Multipole Method for Evaluating the Stress Field of Dislocation Ensembles
    • Author(s): Zhao, Degang; Huang, Jingfang; Xiang, Yang
    • Source: Modelling and Simulation in Materials Science and Engineering, v. 18, (4), June 2010, article number 045006
    • Year: 2010

  67. Dislocation Cross-Slip in Heteroepitaxial Multilayer Films
    • Author(s): Quek, Siu Sin; Zhang, Yongwei; Xiang, Yang; Srolovitz, David J.
    • Source: Acta Materialia, v. 58, (1), January 2010, p. 226-234
    • Year: 2010

  68. Continuum Model for Dislocation Dynamics in a Slip Plane
    • Author(s): Zhu, Xiaohong; Xiang, Yang
    • Source: Philosophical Magazine, v. 90, (33), November 2010, p. 4409-4428
    • Year: 2010

  69. Computing Transition Rates of Thermally Activated Events in Dislocation Dynamics
    • Author(s): Jin, Congming; Ren, Weiqing; Xiang, Yang
    • Source: Scripta Materialia, v. 62, (4), February 2010, p. 206-209
    • Year: 2010

  70. A generalized Peierls–Nabarro model for kinked dislocations
    • Author(s): Wei, He; Xiang, Yang
    • Source: Philosophical Magazine, v. 89, (27), September 2009, p. 2333-2354
    • Year: 2009

  71. Continuum Model for the Long-Range Elastic Interaction on Stepped Epitaxial Surfaces in 2+1 Dimensions
    • Author(s): Zhu, Xiaohong; Xu, Haoyun; Xiang, Yang
    • Source: Physical Review B: Condensed Matter and Materials Physics, v. 79, (12), March 2009, article number 125413
    • Year: 2009

  72. Continuum approximation of the Peach–Koehler force on dislocations in a slip plane
    • Author(s): Xiang, Yang
    • Source: Journal of the Mechanics and Physics of Solids, v. 57, (4), April 2009, p. 728-743
    • Year: 2009

  73. A Generalized Peierls-Nabarro Model for Curved Dislocations Using Discrete Fourier Transform
    • Author(s): Wei, He; Xiang, Yang; Ming, Pingbing
    • Source: Communications in Computational Physics, v. 4, (2), August 2008, p. 275-293
    • Year: 2008

  74. A Generalized Peierls-Nabarro Model for Curved Dislocations and Core Structures of Dislocation Loops in Al and Cu
    • Author(s): Xiang, Yang; Wei, He; Ming, Pingbing; E, Weinan
    • Source: Acta Materialia, v. 56, (7), April 2008, p. 1447-1460
    • Year: 2008

  75. Derivation of a Continuum Model for the Long-Range Elastic Interaction on Stepped Epitaxial Surfaces in 2+1 Dimensions
    • Author(s): Xu, Haoyun; Xiang, Yang
    • Source: SIAM Journal on Applied Mathematics, v. 69, (5), 2009, p. 1393-1414
    • Year: 2008

  76. Dislocation Junctions as Barriers to Threading Dislocation Migration
    • Author(s): Quek, Siu Sin; Wu, Zhaoxuan; Zhang, Yong-Wei; Xiang, Yang; Srolovitz, David J.
    • Source: Applied Physics Letters, v. 90, (1), January 2007, article number 011905
    • Year: 2007

  77. Modeling Dislocations at Different Scales
    • Author(s): Xiang, Yang
    • Source: Communications in Computational Physics, v. 1, (3), June 2006, p. 383-424
    • Year: 2006

  78. An Integral Equation Method for Epitaxial Step-Flow Growth Simulations
    • Author(s): Huang, Jingfang; Lai, Ming-chih; Xiang, Yang
    • Source: Journal of Computational Physics, v. 216, (2), August 2006, p. 724-743
    • Year: 2006

  79. Dislocation Climb Effects on Particle Bypass Mechanisms
    • Author(s): Xiang, Yang; Srolovitz, D.J.
    • Source: Philosophical Magazine, v. 86, (25-26), September 2006, p. 3937-3957
    • Year: 2006

  80. Level set simulation of dislocation dynamics in thin films
    • Author(s): Quek, Siu Sin; Xiang, Yang; Zhang, Yongwei; Srolovitz, David J.; Lu, Chun
    • Source: Acta Materialia, v. 54, (9), May 2006, p. 2371-2381
    • Year: 2006

  81. An active contour model for image segmentation based on elastic interaction
    • Author(s): Xiang, Yang; Chung, Albert Chi Shing; Ye, Jian
    • Source: Journal of Computational Physics, v. 219, (1), November 2006, p. 455-476
    • Year: 2006

  82. Level Set Simulations of Dislocation-particle Bypass Mechanisms
    • Author(s): Xiang, Yang; Srolovitz, D.J.; Cheng, L.-T.; E, Weinan
    • Source: Acta Materialia, v. 52, (7), April 2004, p. 1745-1760
    • Year: 2004

  83. Misfit Elastic Energy and a Continuum Model for Epitaxial Growth with Elasticity on Vicinal Surfaces
    • Author(s): Xiang, Yang; E, Weinan
    • Source: Physical Review B - Condensed Matter and Materials Physics, v. 69, (3), January 2004, article number 035409
    • Year: 2004

  84. A Level Set Method for Dislocation Dynamics
    • Author(s): Xiang, Yang; Cheng, Li-Tien; Srolovitz, David J.; E, Weinan
    • Source: Acta Materialia, v. 51, (18), October 2003, p. 5499-5518
    • Year: 2003

  85. Nonlinear evolution equation for the stress-driven morphological instability
    • Author(s): Xiang, Yang; E, Weinan
    • Source: Journal of Applied Physics, v. 91, (11), June 2002, p. 9414-9422
    • Year: 2002

  86. Derivation of a Continuum Model for Epitaxial Growth with Elasticity on Vicinal Surface
    • Author(s): Xiang, Yang
    • Source: SIAM Journal on Applied Mathematics, v. 63, (1), July 2002, p. 241-258
    • Year: 2002

  87. Existence for Viscosity Solutions of Nonlinear Degenerate Elliptic Equations in RN
    • Author(s): Xiang, Yang
    • Source: Acta Mathematicae Applicatae Sinica, v. 20, 1997, p. 209-220
    • Year: 1997

  88. Comparison principle for viscosity solutions with high growth at infinity
    • Author(s): Xiang, Yang
    • Source: Journal of Partial Differential Equations, v. 10, (2), 1997, p. 107-122
    • Year: 1997

  Book chapter

  1. Dislocation Dynamics in 2 + epsilon Dimensions: Slip Planes, Thin Films, and Grain Boundaries
    • Author(s): Xiang, Yang; Quek, Siu-Sin; Zhang, Yong-Wei; Lim, Adele; Srolovitz, David J.
    • Source: Multiscale Modeling and Analysis for Materials Simulation / Edited by Weizhu Bao, Qiang Du. Singapore; Hackensack, NJ : World Scientific, 2012, p. 1-94, Series: LECTURE NOTES SERIES Institute for Mathematical Sciences, National University of Singapore, v. 22
    • Year: 2012

  2. Level Set Dislocation Dynamics Method
    • Author(s): Xiang, Yang; Srolovitz, David J.
    • Source: Handbook of Materials Modeling: Methods / Editors, Sidney Yip. Dordrecht : Springer, 2005, p. 2307-2323
    • Year: 2005

  Conference paper

  1. Optimal Contextual Bandits with Knapsacks under Realizability via Regression Oracles
    • Author(s): Han, Yuxuan; Zeng, Jialin; Wang, Yang; Xiang, Yang; Zhang, Jiheng
    • Source: Proceedings of Machine Learning Research, v. 206, 2023, p. 5011-5035
    • Year: 2023

  2. PF-ABGen: A Reliable and Efficient Antibody Generator via Poisson Flow
    • Author(s): Huang, Chutian; Liu, Zijing; Bai, Shengyuan; Zhang, Linwei; Xu, Chencheng; Wang, Zhe; Xiang, Yang; Xiong, Yuanpeng
    • Year: 2023

  3. An elastic interaction based loss function for medical image segmentation
    • Author(s): Lan, Yuan; Xiang, Yang; Zhang, Luchan
    • Source: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), v. 12265 LNCS, 2020, p. 755-764
    • Year: 2020

  4. A New Active Contour Method Based on Elastic Interaction
    • Author(s): Xiang, Yang; Chung, Albert Chi Shing; Ye, Jian
    • Source: Proceedings: 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, CVPR 2005 / Edited by Cordelia Schmid, Stefano Soatto, and Carlo Tomasi. Piscataway, NJ : IEEE, 2005, p. 452-457
    • Year: 2005

  5. Elastic Interaction Models for Active Contours and Surfaces
    • Author(s): Chung, Albert Chi Shing; Xiang, Yang; Ye, Jian; Law, Max Wai Kong
    • Source: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), v. 3765 LNCS, 2005, p. 314-323
    • Year: 2005

  6. An efficient step flow simulation scheme using potential theory
    • Author(s): Huang, Jingfang; Xiang, Yang
    • Year: 2001