Xiaoping Zhang (张晓平)

Ph.D., Associate Professor

Rm 316, Northwest Building,
School of Mathematics and Statistics,
Wuhan University,
Wuhan, China.

Email: xpzhang.math at whu dot edu dot cn


Research interest

  1. Numerical Solution of PDEs and Nonlocal Problems
  2. Deep Learning for solving PDEs
  3. Computer Vision

Publications

Journal Papers

  1. Y. Qian, Y. Zhu, X. Zhang*, J. Wu, M. Ye, W. Mao, J. Wu, J. Huang, J. Yang, A Local Grid-Refined Numerical Groundwater Model Based on the Vertex-centred Finite-Volume Method , Advances in Water Resources , 173, 104392 (2023) [ pdf ]

  2. X. Zhang, Y. Zhu, J. Wang, L. Ju, Y. Qian, M. Ye, J. Yang, GW-PINN: A deep learning algorithm for solving groundwater flow equations , Advances in Water Resources , 165, 104243 (2022) [ pdf ]

  3. Q. Guan, M. Gunzburger, X. Zhang, Collocation method for one dimensional nonlocal diffusion equations , Numerical Methods for Partial Differential Equations , 38, 1618–1635 (2022) [ pdf ]

  4. D. Liu, L. Zhou, X. Zhang, On an Adaptive LDG for the p-Laplace problem , International Journal of Numerical Analysis and Modeling , 19, 315–328 (2022) [ pdf ]

  5. C. Zhang, H. Li, X. Zhang, L. Ju, Linear and Unconditionally Energy Stable Schemes for the Multi-Component Two-Phase Diffuse Interface Model with Peng-Robinson Equation of State , Communication in Computational Physics , 26, 1071-1097 (2019) [ pdf ]

  6. T. Zhao, Y. Zhu, M. Ye, M. Wei, X. Zhang, J. Yang, J. Wu, Machine-Learning Methods for Water Table Depth Prediction in Seasonal Freezing-Thawing Areas , Ground Water , 58, 419-431 (2020) [ pdf ]

  7. H. Feng, Y. Gao, L. Ju, X. Zhang*, A new collocation method for solving certain Hadamard finite-part integral equation , International Journal of Numerical Analysis and Modeling , 16, 240–254 (2018). [ pdf ]

  8. Y. Gao, H. Feng, H. Tian, L. Ju, X. Zhang*, Nodal-Type Newton-Cotes Rules for Fractional Hypersingular Integrals , East Asian Journal on Applied Mathematics , 8, 697-714 (2018) [ pdf ]

  9. X. Zhang, J. Wu, L. Ju, An accurate and asymptotically compatible collocation scheme for nonlocal diffusion problems , Applied Numerical Mathematics , 133, 52-68 (2018) [ pdf ]

  10. J. Zhang, Y. Zhu, X. Zhang*, M. Ye, J. Yang, Developing a Long Short-Term Memory (LSTM) based Model for Predicting Water Table Depth in Agricultural Areas , Journal of Hydrology , 561, 918-929 (2018) [pdf]

  11. X. Zhang , S. Su, J. Wu, A vertex-centered and positivity-preserving scheme for anisotropic diffusion problems on arbitrary polygonal grids , Journal of Computational Physics , 344, 419-436 (2017) [pdf]

  12. D. Liu, J. Wu, X. Zhang, The adaptive composite trapezoidal rule for Hadamard finite-part integrals on an interval , Journal of Computational and Applied Mathematics , 325, 165-174 (2017) [pdf]

  13. X. Zhang , M. Gunzburger, L. Ju, Quadrature rules for finite element approximations of 1D nonlocal problems , Journal of Computational Physics , 310, 213-236 (2016) [pdf]

  14. X. Zhang, M. Gunzburger, L. Ju, Nodal-type collocation methods for hypersingular integral equations and nonlocal diffusion problems , Computer Methods in Applied Mechanics and Engineering , 299, 401-420 (2016) [pdf]

  15. H. Feng, Y. Liu, X. Zhang*, L2 error estimates of collocation methods for solving certain singular integral equations , Applied Mathematics and Computation , 229, 396-413 (2014) [pdf]

  16. K. Du, W. Sun, X. Zhang, Arbitrary high-order C0 tensor product Galerkin finite element methods for the electromagnetic scattering from a large cavity , Journal of Computational Physics , 242, 181-195 (2013) [pdf]

  17. D. Liu, X. Zhang*, J. Wu, A collocation scheme for a certain Cauchy singular integral equation based on the superconvergence analysis , Applied Mathematics and Computation , 219, 5198-5209 (2013) [pdf]

  18. J. Li, X. Zhang , D. Yu, Extrapolation methods to compute hypersingular integral in boundary element methods , Science China - Mathematics , 56, 1647-1660 (2013) [pdf]

  19. W. Sun, J. Wu, X. Zhang, A family of linearity-preserving schemes for anisotropic diffusion problems on arbitrary polyhedral grids , Computer Methods in Applied Mechanics and Engineering , 267, 418-433 (2013) [pdf]

  20. H. Feng, X. Zhang*, J. Li, Numerical solution of a certain hypersingular integral equation of the first kind , BIT Numerical Mathematics , 51, 609-630(2011) [pdf]

  21. J. Li, X. Zhang*, D. Yu, Superconvergence and ultraconvergence of Newton-Cotes rules for supersingular integrals , Journal of Computational and Applied Mathematics , 233, 2841-2854 (2010) [pdf]

  22. J. Wu, X. Zhang*, D. Liu, An efficient calculation of the Clausen functions Cln(θ) , BIT Numerical Mathematics , 50, 193-206 (2010) [pdf]

  23. J. Wu, Z. Dai, X. Zhang, The superconvergence of the composite midpoint rule for the finite-part integral , Journal of Computational and Applied Mathematics , 233, 1954-1968 (2010) [pdf]

  24. X. Zhang*, J. Wu, D. Yu, The superconvergence of composite trapezoidal rule for Hadamard finite-part integral on a circle and its application , International Journal of Computer Mathematics , 87, 855-876 (2010) [pdf]

  25. X. Zhang*, J. Wu, D. Yu, The superconvergence of composite Newton-Cotes rules for Hadamard finite-part integral on a circle , Computing , 85, 219-244 (2009) [pdf]

  26. X. Zhang*, J. Wu, D. Yu, Superconvergence of the composite Simpson’s rule for a certain finite-part integral and its applications , Journal of Computational and Applied Mathematics , 223, 598-613 (2009) [pdf]

  27. W. Sun, J. Wu, X. Zhang, Nonconforming spline collocation methods in irregular domains , Numerical Methods for Partial Differential Equations , 23, 1509-1529 (2007) [pdf]

Conference Papers

  1. Z. Wu, X. Wu, X. Zhang, S. Wang, L. Ju, SiamDoGe: Domain Generalizable Semantic Seg- mentation using Siamese Network , European Conference on Computer Vision (ECCV) , Tel Aviv, Israel, 2022 [pdf]

  2. Y. Teng, X. Zhang, Z. Wang, L. Ju, Learning Green’s Functions of Linear Reaction-Diffusion Equations with Application to Fast Numerical Solver , 3nd Annual Conference on Mathematical and Scientific Machine Learning (MSML) , Beijing, China, 2022 [pdf]

  3. X. Zhang, T. Cheng, L. Ju, Implicit Form Neural Network for Learning Scalar Hyperbolic Conservation Laws , 2nd Annual Conference on Mathematical and Scientific Machine Learning (MSML) , Virtual Meeting, 2021 [pdf]

  4. Z. Wu, X. Wu, X. Zhang, S. Wang, L. Ju. Learning Depth from Single Image Using Depth-aware Convolution and Stereo Knowledge, IEEE International Conference on Multimedia and Expo (ICME) , Shenzhen, China, 2021 [pdf]

  5. Z. Wu, X. Wu, X. Zhang, S. Wang, L. Ju. Spatial Correspondence with Generative Adversarial Network: Learning Depth from Monocular Videos , IEEE International Conference on Computer Vision (ICCV) , Seoul, Korea, 2019 [pdf]

  6. Z. Wu, X. Wu, X. Zhang, S. Wang, L. Ju. Semantic Stereo Matching with Pyramid Cost Volumes , IEEE International Conference on Computer Vision (ICCV) , Seoul, Korea, 2019 [pdf]

Research Grants

  1. National Science Foundation of China, 11771364, CO-PI, 2018-2021, ¥ 100,000
  2. National Science Foundation of China, 11671313, PI, 2017-2020, ¥ 480,000
  3. National Science Foundation of China, 11101317, PI, 2012-2014, ¥ 220,000
  4. National Science Foundation of China, 11026170, PI, 2011-2011, ¥ 30,000

Teaching

Linear Algebra(线性代数)- 2023 Fall

内容 课件 作业
简介 [ Slide ] [ Handout ]
行列式 [ Slide ] [ Handout ] [ Homework ] [ Answer ]
矩阵 [ Slide ] [ Handout ] [ Homework ] [ Answer ]
向量 [ Slide ] [ Handout ] [ Homework ] [ Answer ]
线性方程组 [ Slide ] [ Handout ] [ Homework ] [ Answer ]
线性空间与线性变换 [ Slide ] [ Handout ] [ Homework ] [ Answer ]
矩阵的特征值 [ Slide ] [ Handout ] [ Homework ] [ Answer ]
二次型 [ Slide ] [ Handout ] [ Homework ] [ Answer ]