Research Areas:
Computational Mechanics and Applied Mathematics: multiscale simulations, scientific computing
Researcher ID: http://www.researcherid.com/rid/B-2753-2010
Education:
1995 PhD in Applied Mathematics, HKUST, Hong Kong, Adviser: Prof Din-Yu Hsieh
1990-1992 MPhil Student, Mathematics Institute, Academia Sinica, Adviser: Prof Ling Hsiao
1990 BSc in Mathematics & BEng in EEE, University of Science and Technology of China
Working Experiences:
1997– Department of Mechanics and Engineering Science, Peking Univ.
2018–2020 Head, Department of Mechanics and Engineering Science
2009–2013 Associate Dean, College of Engineering, Peking Univ.
2005–2009 Assistant Dean, College of Engineering, Peking Univ.
2005–2011 Adjunct Professor, Zhou Peiyuan Center for Applied Mathematics, Tsinghua Univ.
2004–2005 Visiting Associate / Visiting Assoc. Prof., Appl. & Comput. Math., Caltech
2000–2002 Researcher, Dept. of Math. & Stat., Univ. of Konstanz, Germany
1995–1997 Postdoctoral fellow, Math. Inst., Academia Sinica
Courses:
Calculus (I) 97 fall – 21 fall, roughly every two years
Calculus (II) 98 spring -22 spring, roughly every two years
Advance Calculus 22 fall
Linear Algebra 11 fall, 21 fall, 23 fall
Advance Linear Algebra 22 spring
Ordinary Differential Equations 18 fall, 22 fall
Partial Differential Equations 23 spring
Applied Analysis 02 fall – roughly every two years (In English, grad/undergrad)
Scientific Computing 07 spring – 21 spring, roughly every two years (In English, grad/undergrad)
Introduction to Machine Learning 20 fall
Numerical Methods 12 summer. (In English)
Multiscale Algorithms 12 fall (grad/undergrad)
Functional Analysis 99 spring, 02 spring. (In English)
Numerical PDE (I)(II) 05 spring (two quarters, Caltech, ACM210 a&b) . (In English)
Selected Publications
1. Ling Hsiao, and Shaoqiang Tang, Construction and Qualitative Behavior of Solutions of Perturbated Riemann Problem for the System of One-Dimensional Isentropic Flow with Damping, J. Diff. Eqs. 123(2):480-503(1995).
2. Din-Yu Hsieh, Shaoqiang Tang, Xiao-Ping Wang, and Li-Xin Wu, Dissipative Nonlinear Evolution Equations and Chaos, Studies in Applied Mathematics 101:233-266(1998).
3. Ansgar Juengel, and Shaoqiang Tang, Numerical approximation of the viscous quantum hydrodynamic model for semiconductors, Applied Numerical Mathematics, 56(7):899-915 (2006).
4. Shaoqiang Tang, Thomas Y. Hou, and Wing Kam Liu, Mathematical framework of bridging scale method, Int J Numer Methods Engrg. 65(1):1688-1713 (2006).
5. Shaoqiang Tang, A finite difference approach with velocity interfacial conditions for multiscale computations of crystalline solids, J Comput Phys. 227:4038-4062 (2008).
6. Xianming Wang, and Shaoqiang Tang, Matching boundary conditions for diatomic chains, Computational Mechanics 46(6):813-826 (2010).
7. Gang Pang, and Shaoqiang Tang. Approximate linear relations for Bessel functions. Communications in Mathematical Sciences 15(7):1967-1986 (2017).
8. Shaoqiang Tang, and Yuping Ying, Homogenizing atomic dynamics by fractional differential equations, Journal of Computational Physics.346:539-551(2017).
9. Shaoqiang Tang, Lei Zhang, and Wing Kam Liu. From virtual clustering analysis to self-consistent clustering analysis: a mathematical study, Computational Mechanics 62(6):1443-1460 (2018).
10. Lei Zhang, Lin Cheng, Hengyang Li, Jiaying Gao, Cheng Yu, Reno Domel, Yang Yang, Shaoqiang Tang, Wing Kam Liu. Hierarchical deep-learning neural networks: finite elements and beyond, Computational Mechanics 66(1): 207-230 (2021).
Representative projects:
1. National Natural Science Foundation of China (key project). “Clustering Analysis for Data-driven Multiscale Simulations”, PI, 2,800,000 RMB, 2019–2023.
2. National Natural Science Foundation of China. “Finite Difference Approach for Multiscale Simulations”, PI, 780,000 RMB, 2013–2016.
3. National Natural Science Foundation of China. “Multiscale Interfacial Conditions for Nonlinear Crystalline Solids”, PI, 360,000 RMB, 2009–2011.
4. Ministry of Science and Technology (Special Funds for Major State Basic Research Project (973)). Key Problems and Important Applications of Nonlinear Sciences, Participant, 400,000 RMB, 2007–2011.
5. Ministry of Education (New Century Excellent Talents in University). PI, 500,000 RMB, 2006–2009.
6. National Natural Science Foundation of China. Numerical Study of Carrier Transport in Nano-scale Semiconductors”, PI, 250,000 RMB, 2005–2007.
Honors:
Services: