

Courses
Fall 2024: MA/CS51400 Numerical Analysis
Academic Background
 PostDoc, Applied Mathematics, Brown University, 2004.
 Ph.D., Mechanical Engineering, State University of New York at
Buffalo, 2001.
 M.S., Physics, Zhejiang University (China), 1995.
 B.S., Aerospace Engineering, National University of Defense
Technology (China), 1992.
Research
 Highorder numerical methods and time integration
algorithms for fluids and solidsrelated phenomena.
 Neural networkbased numerical methods, datadriven
scientific computing, mathematical and scientific machine learning.
 Computational partial differential equations, computational
methods.
 Computational fluid dynamics, computational mechanics.
 Physically and thermodynamically consistent modeling.
 Fluid interfaces, free surfaces, and contact line dynamics.
 Twophase and multiphase flows, and interactions
with wall surfaces.
 Open boundary problems, open boundary conditions and
related problems
 Turbulent pattern formation.
 Biofluids and biostructural simulations.
 Flowstructure interaction, vortexinduced vibrations.
 Turbulence at high Reynolds numbers in complex geometries.
 High performance computing, parallel computing.


Representative Publications

S. Dong & Y. Wang. A method for computing inverse parametric PDE problems with
randomweight neural networks. Journal of Computational Physics,
489, 112263, 2023. [PDF]

S. Dong & J. Yang. Numerical approximation of partial differential equations
by a variable projection method with artificial neural networks.
Computer Methods in Applied Mechanics and Engineering, 398, 115284, 2022.
[PDF]

S. Dong & J. Yang. On computing the hyperparameter of extreme learning machines:
Algorithm and application to computational PDEs, and comparison with
classical and highorder finite elements. Journal of Computational Physics,
463, 111290, 2022. [PDF]

S. Dong & Z. Li. Local extreme learning machines and domain decomposition for solving
linear and nonlinear partial differential equations. Computer Methods in
Applied Mechanics and Engineering, 387, 114129, 2021. [PDF]

S. Dong & N. Ni. A method for representing periodic functions and
enforcing exactly periodic boundary conditions with deep neural networks.
Journal of Computational Physics, 435, 110242, 2021.
[PDF]
extended list of publications ... 
