北京师范大学数学科学学院

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王玉亮 Wang Yuliang

基本介绍

姓名: 王玉亮

职称: 教授

所在部门: 珠海校区自然科学高等研究院数学研究中心

办公电话:

电子邮件: yuliangwang@bnu.edu.cn

个人简介

王玉亮教授获香港浸会大学数学学士学位，香港中文大学数学硕士学位，密歇根州立大学应用数学博士学位。王教授曾任普渡大学访问助理教授（2013-2015）和香港浸会大学研究助理教授（2015-2020）。2020年10月加入北京师范大学和北师港浸大，现任北京师范大学数学研究中心教授兼北师港浸大理工科技学院数学科学系教授。2021 年入选海外高层次青年人才计划。

王教授的主要研究领域为反问题，研究方向集中在波动方程相关反问题的数学建模、分析、算法和应用。近期集中研究超材料的数学理论和在反散射问题中的应用，提出了包含负折射率透镜的超分辨率成像算法。同时，他也在波动方程共振现象和机器学习等领域进行探索，目前感兴趣的课题是机器学习在偏微分方程正反问题中的应用。发表SCI论文二十余篇，曾主持多项香港研究资助局基金和国家自然科学基金项目。

王教授长期招收博士后、博士和研究型硕士，欢迎数学、统计、或计算机专业学生报名申请！王教授对学生的态度是认真负责，积极培养。对学生的要求是诚实严谨，积极主动。

研究兴趣

反问题、计算数学、机器学习

科研项目

1. Computational Methods for Inverse Scattering Problems with Incomplete Data, 香港研究资助局GRF，2020-2023，42万港币
2. Eigenvalue Problems for Wave Equations with Applications in Invisibility and Inverse Scattering，香港研究资助局GRF，2018-2022，30万港币
3. 逆散射问题中的超分辨率，国家自然科学基金委员会，2017-2019，18万人民币
4. Super-resolution imaging through inverse scattering problems，香港研究资助局GRF，2016-2019，48万港币

代表性论著

[23] Peijun Li, Ying Liang, and Yuliang Wang. “A Data-Assisted Two-Stage Method for the Inverse Random Source Problem”. In: SIAM Journal on Imaging Sciences 16.4 (Dec. 2023), pp. 1929– 1952. DOI: 10.1137/23M1562561.
[22] Peijun Li and Yuliang Wang. “Inverse scattering of periodic surfaces with a superlens”. In: Optics Express 31.19 (Sept. 2023), p. 30894. DOI: 10.1364/oe.494812.
[21] Zhen-Ping Yang, Jin Zhang, Yuliang Wang, and Gui-Hua Lin. “Variance-Based Subgradient Ex- tragradient Method for Stochastic Variational Inequality Problems”. In: Journal of Scientific Computing 89.1 (Aug. 2021). DOI: 10.1007/s10915-021-01603-y.
[20] Emilia Blåsten, Hongjie Li, Hongyu Liu, and Yuliang Wang. “Localization and geometrization in plasmon resonances and geometric structures of Neumann-Poincaré eigenfunctions”. In: ESAIM: Mathematical Modelling and Numerical Analysis 54.3 (Apr. 2020), pp. 957–976. DOI: 10.1051/m2 an/2019091.
[19] Zhen-Ping Yang, Yuliang Wang, and Gui-Hua Lin. “Variance-Based Modified Backward-Forward Algorithm with Line Search for Stochastic Variational Inequality Problems and Its Applications”. In: Asia-Pacific Journal of Operational Research 37.03 (Apr. 2020), p. 2050011. DOI: 10.1142/s02 17595920500116.
[18] Hongyu Liu, Xiaodong Liu, Xianchao Wang, and Yuliang Wang. “On a novel inverse scattering scheme using resonant modes with enhanced imaging resolution”. In: Inverse Problems 35.12 (Nov. 2019), p. 125012. DOI: 10.1088/1361-6420/ab2932.
[17] Eemeli Blåsten, Xiaofei Li, Hongyu Liu, and Yuliang Wang. “On vanishing and localizing of transmission eigenfunctions near singular points: a numerical study”. In: Inverse Problems 33.10 (Sept. 2017), p. 105001. DOI: 10.1088/1361-6420/aa8826.
[16] Jingzhi Li, Hongyu Liu, and Yuliang Wang. “Recovering an electromagnetic obstacle by a few phaseless backscattering measurements”. In: Inverse Problems 33.3 (Feb. 2017), p. 035011. DOI: 10.1088/1361-6420/aa5bf3.
[15] Xiaofei Li, Hyundae Lee, and Yuliang Wang. “Asymptotic analysis of the narrow escape problem in dendritic spine shaped domain: three dimensions”. In: Journal of Physics A: Mathematical and Theoretical 50.32 (July 2017), p. 325203. DOI: 10.1088/1751-8121/aa7c06.
[14] Xiaofei Li, Jingzhi Li, Hongyu Liu, and Yuliang Wang. “Electromagnetic interior transmission eigenvalue problem for inhomogeneous media containing obstacles and its applications to near cloaking”. In: IMA Journal of Applied Mathematics 82.5 (Oct. 2017), pp. 1013–1042. DOI: 10.109 3/imamat/hxx022.
[13] Hongyu Liu, Yuliang Wang, and Shuhui Zhong. “Nearly non-scattering electromagnetic wave set and its application”. In: Zeitschrift für angewandte Mathematik und Physik 68.2 (Feb. 2017). DOI: 10.1007/s00033-017-0780-1.
[12] Gang Bao, Peijun Li, and Yuliang Wang. “Near-field imaging with far-field data”. In: Applied Mathematics Letters 60 (Oct. 2016), pp. 36–42. DOI: 10.1016/j.aml.2016.03.023.
[11] Peijun Li, Yuliang Wang, Zewen Wang, and Yue Zhao. “Inverse obstacle scattering for elastic waves”. In: Inverse Problems 32.11 (Oct. 2016), p. 115018. DOI: 10.1088/0266-5611/32/11/11501 8.
[10] Peijun Li, Yuliang Wang, and Yue Zhao. “Near-field imaging of biperiodic surfaces for elastic waves”. In: Journal of Computational Physics 324 (Nov. 2016), pp. 1–23. DOI: 10.1016/j.jcp.2016
.07.030.
[9] Hongyu Liu, Yuliang Wang, and Can Yang. “Mathematical Design of a Novel Gesture-Based Instruction/Input Device Using Wave Detection”. In: SIAM Journal on Imaging Sciences 9.2 (Jan. 2016), pp. 822–841. DOI: 10.1137/16m1063551.
[8] Peijun Li and Yuliang Wang. “Near-Field Imaging of Interior Cavities”. In: Communications in Computational Physics 17.2 (Feb. 2015), pp. 542–563. DOI: 10.4208/cicp.010414.250914a.
[7] Peijun Li and Yuliang Wang. “Near-field imaging of obstacles”. In: Inverse Problems and Imaging
9.1 (Feb. 2015), pp. 189–210. DOI: 10.3934/ipi.2015.9.189.

[6] Peijun Li and Yuliang Wang. “Near-field imaging of small perturbed obstacles for elastic waves”. In: Inverse Problems 31.8 (July 2015), p. 085010. DOI: 10.1088/0266-5611/31/8/085010.
[5] Peijun Li and Yuliang Wang. “Numerical solution of an inverse obstacle scattering problem with near-field data”. In: Journal of Computational Physics 290 (June 2015), pp. 157–168. DOI: 10.10 16/j.jcp.2015.03.004.
[4] Peijun Li, Yuliang Wang, and Yue Zhao. “Convergence analysis in near-field imaging for elastic waves”. In: Applicable Analysis 95.11 (Sept. 2015), pp. 2339–2360. DOI: 10.1080/00036811.2015.1 089238.
[3] Peijun Li, Yuliang Wang, and Yue Zhao. “Inverse elastic surface scattering with near-field data”. In: Inverse Problems 31.3 (Feb. 2015), p. 035009. DOI: 10.1088/0266-5611/31/3/035009.
[2] Gang Bao and Yuliang Wang. “Optimal design of antireflection coatings with different metrics”. In: Journal of the Optical Society of America A 30.4 (Mar. 2013), p. 656. DOI: 10.1364/josaa.30.0 00656.
[1] Ting Cheng, Peijun Li, and Yuliang Wang. “Near-field imaging of perfectly conducting grating surfaces”. In: JOSM 2013.

学生培养

在读博士研究生2人