Preprints
- Fast structured Jacobi-Jacobi transforms, submitted to Math Comp, with Jie Shen and Jianlin Xia.
- Fast structured Jacobi collocation methods, with Jie Shen and Jianlin Xia.
- Mapped Chebyshev approximation for the inelastic Boltzmann collision operators, with Jingwei Hu.
- Two-level spectral methods for nonlinear differential equations with multiple solutions, with Guang Lin and Wenrui Hao.
- A semi-differential-integral spectral collocation method for biharmonic problems in irregular domains, with Suqin Chen and Nan Xiao.
- Sinc collocation method based on the highest derivatives for fifth-order boundary value problems, with Suqin Chen and Xingyu Wang.
Papers [Google Scholar] [MathSciNet] [ResearchGate]
- Jie Shen, Yingwei Wang, Müntz-Galerkin methods and applications to mixed Dirichlet-Neumann boundary value problems, SIAM Journal on Scientific Computing, 2016, 38(4), pp A2357–A2381.
- Jie Shen, Yingwei Wang, Jianlin Xia, Fast structured direct spectral methods for differential equations with variable coefficients, I. The one-dimensional case, SIAM Journal on Scientific Computing, 2016, 38(1), pp A28–A54. CORRECTION
- Suqin Chen, Yingwei Wang, A rational spectral collocation method for third-order singularly perturbed problems , Journal of Computational and Applied Mathematics , 2016, 307, pp 93-105.
- Jie Shen, Yingwei Wang, Haijun Yu, Efficient spectral-element methods for the electronic Schrödinger equation, Sparse Grids and Applications - Stuttgart 2014 (Volume 109 of the series Lecture Notes in Computational Science and Engineering), 2016, pp 265-289.
- Suqin Chen, Yingwei Wang, Xionghua Wu, Rational spectral collocation method for a coupled system of singularly perturbed boundary value problems , Journal of Computational Mathematics, 2011, 29(4), pp 458-473.
- Yingwei Wang, Suqin Chen, Xionghua Wu, A rational spectral collocation method for solving a class of parameterized singular perturbation problems , Journal of Computational and Applied Mathematics, 2010, 233(10), pp 2652-2660.
- Yingwei Wang, Suqin Chen, Xionghua Wu, The exponential time differencing and rational spectral collocation method for singularly perturbed Burgers-Huxley problem , Mathematica Numerica Sinica, 2010, 32(2), pp 171-182, (in Chinese).
- Suqin Chen, Xionghua Wu, Yingwei Wang, Weibin Kong, The Laplace transform method for Burgers' equation , International Journal for Numerical Methods in Fluids, 2010, 63(9), pp 1060-1076.
- Yu Huang, Chenglong Xu, Yingwei Wang, Spectral method using Hermite functions for semilinear wave equations with strong damping , The International Conference on Information Science and Engineering, 2009, pp 401-403.
- Suqin Chen, Xionghua Wu, Yingwei Wang, Weibin Kong, High accuracy time and space transform method for advection-diffusion equation in an unbounded domain , International Journal for Numerical Methods in Fluids, 2008, 58(11), pp 1287-1298.
Technical Reports, Thesis and Others
- Estimation of bathymetry in environmental flows, Technical report of the Twentyfirst Mathematical and Statistical Modeling Workshop for Graduate Students, pages 40-63 in the pdf file.
- Rational Spectral Collocation Methods for Singularly Perturbed Problems, my Masters’ Thesis (in Chinese).
- Spline Trefftz Method for Convection-Diffusion Equation, technical report based on my undergraduate dissertation.