Ying Liang 梁瑛
Golomb Visiting Assistant Professor of Mathematics
| Date | Updates |
|---|---|
| August 2023 | In ICIAM2023, I will present our work on least-squares method for inverse medium problems. |
| June 2023 | In MSML2023, I will present our work on neural network approaches for inverse random source problems. |
| May 2023 | In LLNL DDPS seminar, I will present our work on neural network approaches for inverse random source problems. |
| March 2023 | Our preprint on data-assisted approaches for inverse random source problems is available on arXiv. |
| February 2023 | Our preprint on a direct probing method for the inverse problem based on the Eikonal equation is available on arXiv. |
| January 2023 | In Spring 2023, I will be teaching MA 26500 Linear Algebra. |
| October 2022 | In Purdue CCAM Workshop on Scientific Computing, I will present our work on neural network approaches for inverse random source problems. |
| September 2022 | In SIAM MDS22, I will present our work on neural network approaches for inverse random source problems. |
| August 2022 | In Fall 2022, I will be teaching MA 26600 Ordinary Differential Equations. |
| May 2022 | In MWNAD 2022, I will present our work on least-squares method for inverse medium problems. |
| January 2022 | Our preprint on least-squares method for inverse medium problems is available on arXiv. |
| January 2022 | In Spring 2022, I will be teaching MA 26600 Ordinary Differential Equations. |
| August 2021 | In Fall 2022, I will be teaching MA 26600 Ordinary Differential Equations. |
| August 2021 | I am excited to start a new journey in the Department of Mathematics at Purdue University. |
Experience
Golomb Visiting Assistant Professor of Mathematics
Purdue University
August 2021 - Present
West Lafayette, IN
Research & Teaching Assistant
The Chinese University of Hong Kong
August 2016 - July 2021
Hong Kong
Teaching Assistant
Wuhan University
August 2015 - July 2016
Wuhan, Hubei
Education
August 2016 - July 2021
Hong Kong
BSc in Mathematics
Wuhan University
Hongyi Honor College
August 2012 - July 2016
Wuhan, Hubei
Research
Research Interests
- Ill-posed inverse problems
- Numerical methods for partial differential equations
- Scattering theory
Publications & Preprints
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Peijun Li, Ying Liang, and Yuliang Wang.
A data-assisted two-stage method for the inverse random source problem.
arXiv preprint arXiv:2303.16953.
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Kazufumi Ito and Ying Liang.
A direct probing method of an inverse problem for the Eikonal equation.
arXiv preprint arXiv:2302.09453.
-
Ying Liang and Jun Zou.
Acoustic scattering and field enhancement through a single aperture.
arXiv preprint arXiv:2011.05887.
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Ying Liang and Jun Zou.
Weak Galerkin method for electrical impedance tomography.
arXiv preprint arXiv:2011.04991.
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Kazufumi Ito, Ying Liang, and Jun Zou.
Least-squares method for recovering multiple medium parameters.
Inverse Problems, 38 (2022), 125004.
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Ying Liang, Hua Xiang, Shiyang Zhang, and Jun Zou.
Preconditioners and their analyses for edge element saddle-point systems arising from time-harmonic Maxwell’s equations.
Numerical Algorithms, 86 (2021), 281-302.
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Junqing Chen, Ying Liang, and Jun Zou.
Mathematical and numerical study of a three-dimensional inverse eddy current problem.
SIAM Journal on Applied Mathematics, 80 (2020), 1467–1492.
Presentation
Minisymposium talk
10th International Congress on Industrial and Applied Mathematics
2023
Tokyo
Contributed poster presentation
4th Mathematical and Scientific Machine Learning Conference
2023
Providence, RI
Invited talk
Lawrence Livermore National Laboratory DDPS Seminar
2023
Virtual
Invited talk
George Washington University Applied Math Seminar
2022
Virtual
Invited talk
Purdue CCAM Workshop on Scientific Computing
2022
West Lafayette, IN
Contributed poster presentation
SIAM Conference on Mathematics of Data Science 2022
2022
San Diego, CA
Contributed talk
Midwest Numerical Analysis Day 2022
2022
Ann Arbor, MI
Invited talk
CUHK Science Faculty Postgraduate Research Day 2020–21
2021
Hong Kong
Invited talk
5th East Asia Section of IPIA Young Scholars Symposium
2019
Beijing
Contributed poster presentation
SIAM Conference on Computational Science and Engineering 2019
2019
Spokane, WA
Invited talk
International Workshop on PDE-Constrained Optimization, Optimal Controls and Applications
2018
Sanya, Hainan
Plenary talk
Workshop on Recent Advances in PDE-based Optimal Control and Scientific Computing
2018
Wuhan, Hubei
Teaching
Instructor, Purdue University (2021-Present)
MA 30300 Differential Equations and Partial Differential Equations for Engineering and the Sciences
Fall 2023
MA 26500 Linear Algebra
Spring 2023
MA 26600 Ordinary Differential Equations
Fall 2022
MA 26600 Ordinary Differential Equations
Spring 2022
MA 26600 Ordinary Differential Equations
Fall 2021
Teaching Assistant, The Chinese University of Hong Kong (2016-2020)
MATH3230 Numerical Analysis
2019-20 Term 1
MATH3230 Numerical Analysis
2018-19 Term 1
MATH1510 Calculus for Engineers
2018-19 Term 1
MATH1010 University Mathematics
2018-19 Term 1
MATH3240 Numerical Methods for Differential Equations
2017-18 Term 2
MATH3230 Numerical Analysis
2017-18 Term 1
MATH3240 Numerical Methods for Differential Equations
2016-17 Term 2
MATH3230 Numerical Analysis
2016-17 Term 1
Teaching Assistant, Wuhan University (2015-2016)
Calculus for Engineers
2015-16 Term 1