Projects per year
Personal profile
Personal profile
I study iterative methods for numerical solution of partial differential equations, in particular, domain decomposition methods for the linear wave equation.
I am recruiting a PhD student (valid until December 2025) to work on randomized and AI enhanced fast solvers for sparse matrices.
Research interests
Parallel Computing
Domain Decomposition and Multigrid Methods
Numerical Analysis and Scientific Computing
Experience
Associate Professor, Department of Mathematical Sciences - Xian Jiaotong-Liverpool University - 2019 to present
Lecturer, Department of Mathematics - Zhejiang Ocean University - 2015-2019
Postdoc, Section de Mathématiques - Université de Genève - 2010-2015
Lecturer, School of Mathematical Sciences - University of Electronic Sciences and Technology of China - 2008-2010
Teaching
SURF (Summer Undergraduate Research Fund) Numericcal Analysis (2023 Summer, advising 5 students)
MTH321 Numerical Analysis of Partial Differential Equations (2023-2024 Semester 1, module leader, first realization of a new module)
MTH301 Final Year Project (2022-2023, 6 students on data analysis of Chinese stock market and numerical analysis of PDEs)
MTH208 Numerical Analysis (2022-2023 Semester 2)
MTH301 Final Year Project (2022-2023) 6 students on data analysis of Chinese stock market and numerical analysis of PDEs
MTH208 Numerical Analysis (2022-2023 Semester 2, first realization after module spec majorly modified, wrote a new set of labs and slides)
MTH017 Linear Algebra for Mathematical Sciences (2022-2023 Semester 1, HyFlex with iPad, wrote for my class a completely new set of notes/slides/tutorials/solutions)
MTH301 Finay Year Project (2021-2022) 5 students on data analysis of Chineses stock market and numerical analysis of matrix
MTH208 Numerical Analysis (2021-2022 Semester 2, online, a new set of lab videos/assignments/tutorial videos)
MTH107 Advanced Linear Algebra (2021-2022 Semester 1, whiteboard)
MTH301 Final Year Project (2020-2021) 3 students on data analysis of Chinese stock market and customer behavior
MTH208 Numerical Analysis (2020-2021 Semester 2, module leader, whiteboard+slides)
MTH017 Linear Algebra for Mathematical Sciences (2020-2021 Semester 1, module leader, blended teaching, completely new lec videos/assignments/quizzes/tutorials))
MTH301 Final Year Project (2019-2020) 1 student on data analysis of Chinese stock market
MTH118 Analysis 2 (2019-2020 Semester 2, online, a new set of assignments/quizzes)
MTH017 Linear Algebra for Mathematical Sciences (2019-2020 Semester 1, whiteboard)
Awards and honours
2018 Plenary Speaker, 25th International Conference on Domain Decomposition Methods, St. Johns, Newfoundland, Canada
Education/Academic qualification
PhD, Xi'an Jiaotong University - 2008
BSc, Xi'an Jiaotong University - 2002
Person Types
- Staff
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Collaborations and top research areas from the last five years
Recent external collaboration on country/territory level. Dive into details by clicking on the dots or
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What are the Computing Skills of Future Applied Mathematicians? Use of Generative AI in Computer Labs of a Mathematical Module based on Student Partnership
1/09/24 → 31/08/25
Project: Internal Research Project
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Machine Learning-based Generalized Multiscale Finite Element Method with Application in Reservoir Simulation
Chen, J., Ma, F., Niu, Q., Zhang, H., 朱圣鑫, 陈掌星, 吴邦玉, 王瑞, 李博 & 郑浩
1/01/20 → 31/12/22
Project: Internal Research Project
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Convergence Studies of Convolution Schwarz Waveform Relaxation Methods for Large Scale Delay Differential Equations,
Wu, S. L., Xu, Y. & Zhang, H.
1/01/18 → 31/12/21
Project: Governmental Research Project
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Confluent Vandermonde with Arnoldi
Niu, Q., Zhang, H. & Zhou, Y., Jan 2023, In: Applied Mathematics Letters. 135, 108420.Research output: Contribution to journal › Article › peer-review
1 Citation (Scopus) -
Décomposition de Domaine et Problème de Helmholtz: Thirty Years After and Still Unique
Gander, M. J. & Zhang, H., Mar 2023, Domain Decomposition Methods in Science and Engineering XXVI . Brenner, S. C., Klawonn, A., Xu, J., Chung, E., Zou, J. & Kwok, F. (eds.). Cham: Springer Verlag, p. 633-640 8 p. (Lecture Notes in Computational Science and Engineering; vol. 145).Research output: Chapter in Book or Report/Conference proceeding › Conference Proceeding › peer-review
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Schwarz methods by domain truncation
Gander, M. J. & Zhang, H., 1 May 2022, In: Acta Numerica. 31, p. 1-134 134 p.Research output: Contribution to journal › Article › peer-review
Open Access7 Citations (Scopus) -
Convergence Analysis of the Continuous and Discrete Non-overlapping Double Sweep Domain Decomposition Method Based on PMLs for the Helmholtz Equation
Kim, S. & Zhang, H., Nov 2021, In: Journal of Scientific Computing. 89, 2, 37.Research output: Contribution to journal › Article › peer-review
1 Citation (Scopus) -
Analysis of Double Sweep Optimized Schwarz Methods: the Positive Definite Case
Gander, M. J. & Zhang, H., 2020, Domain Decomposition Methods in Science and Engineering XXV, DD 2018. Haynes, R., MacLachlan, S., Cai, X-C., Halpern, L., Kim, H. H., Klawonn, A. & Widlund, O. (eds.). Springer Science and Business Media Deutschland GmbH, p. 53-64 12 p. (Lecture Notes in Computational Science and Engineering; vol. 138).Research output: Chapter in Book or Report/Conference proceeding › Conference Proceeding › peer-review
2 Citations (Scopus)
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Confluent Vandermonde with Arnoldi
Hui Zhang (Speaker)
9 Aug 2023Activity: Talk or presentation › Presentation at conference/workshop/seminar
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A posteriori error estimate of iterative methods
Hui Zhang (Supervisor)
2023 → …Activity: Supervision › Completed SURF Project
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Confluent Vandermonde with Arnoldi
Hui Zhang (Speaker)
19 Nov 2022Activity: Talk or presentation › Presentation at conference/workshop/seminar
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Schwarz methods by domain truncation
Hui Zhang (Speaker)
15 Nov 2022Activity: Talk or presentation › Invited talk
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Confluent Vandermonde with Arnoldi
Hui Zhang (Speaker)
6 Nov 2022Activity: Talk or presentation › Invited talk