作为项目负责人获得国家自然科学青年基金和数学天元基金资助，作为主要成员参研国家自然科学基金面上项目多项。在国内外学术刊物上发表论文10多篇。
Xian Wen, Xuhong Yu and Zhongqing Wang, A Legendre Dual-Petrov-Galerkin Spectral Element Method for the Kawahara-Type Equations, Discrete and Continuous Dynamical Systems Series B, Online. Xuhong Yu, Long Li and Zhongqing Wang, Efficient space-time Legendre rational spectral method for parabolic problems in unbounded domains, Applied Numerical Mathematics, 2021, 170, 39-54. Xuhong Yu, Xueqin Ye and Zhongqing Wang, A fast solver of Legendre-Laguerre spectral element method for the Camassa-Holm equation, Numerical Algorithms, 2021, 88(1), 1-23. Yang Zhang, Xuhong Yu and Zhongqing Wang, Efficient and accurate Legendre spectral element methods for higher order problems, Numerical Mathematics: Theory, Methods and Applications, 2021, 14(2), 461-487. Xuhong Yu, Lusha Jin and Zhongqing Wang, Efficient and accurate Chebyshev dual-Petrov-Galerkin methods for odd-order differential equations, Journal of Computational Mathematics, 2021, 39(1), 43-62. Cheng Xu, Xuhong Yu and Zhongqing Wang, Efficient Laguerre and Hermite spectral methods for odd-order differential equations in unbounded domains, Journal of Mathematical Study, 2020, 53(2), 192-211. Shan Li, Zhenyan Lai, Lusha Jin and Xuhong Yu, Diagonalized Gegenbauer rational spectral methods for second- and fourth-order problems on the whole line, Applied Numerical Mathematics, 2020, 151, 494-516. Xuhong Yu, Zhongqing Wang and Huiyuan Li, Jacobi-Sobolev orthogonal polynomials and spectral methods for elliptic boundary value problems, Communication on Applied Mathematics and Computation, 2019, 1(2), 283-308. Yuan Liu, Xuhong Yu, Zhongqing Wang and Huiyuan Li, Hermite-Sobolev orthogonal functions and spectral methods for second and fourth order problems on unbounded domains, International Journal of Computer Mathematics, 2019, 96(5), 950-970. Yanmin Ren, Xuhong Yu and Zhongqing Wang, Diagonalized Chebyshev rational spectral methods for second-order elliptic problems on unbounded domains, Numerical Mathematics: Theory, Methods and Applications, 2019, 12(1), 265-284. Xuhong Yu, Yunge Zhao and Zhongqing Wang, A diagonalized Legendre rational spectral method for problems on the whole line, Journal of Mathematical Study, 2018, 51(2), 196-213. Xuhong Yu and Benyu Guo, Spectral Method for Vorticity-Stream Function Form of Navier–Stokes Equations in an Infinite Channel with Slip Boundary Conditions, Journal of Scientific Computing, 2017, 73(1), 283-302. Xuhong Yu and Benyu Guo, Spectral method for fourth-order problems on quadrilaterals, Journal of Scientific Computing, 2016, 66(2), 477-503. Xuhong Yu and Benyu Guo, Spectral element method for mixed inhomogeneous boundary value problems of fourth order, Journal of Scientific Computing, 2014, 61(3), 673-701. Benyu Guo and Xuhong Yu, Composite spectral method for exterior problems with polygonal obstacles, Journal of Scientific Computing, 2014, 59(2), 439-472. Xuhong Yu and Zhongqing Wang, Jacobi spectral method with essential imposition of Neumann boundary condition, Applied Numerical Mathematics, 2012, 62(8), 956-974. Xuhong Yu and Zhongqing Wang, Mixed Fourier-Jacobi spectral method for two-dimensional Neumann boundary value problems, East Asia Journal on Applied Mathematics, 2011, 1(3), 284-296.
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