作为项目负责人获得国家自然科学青年基金1项，国家博士后面上基金1项，作为主要成员参研国家自然科学基金面上项目3项。在国内外学术刊物上发表论文10多篇。
Z. Wang, Y. Guo and L. Yi, An hp-version Legendre-Jacobi spectral collocation method for Volterra integro-differential equations with smooth and weakly singular kernels, Math. Comp., 86 (2017), 2285–2324. Y. Guo and J. Huang, A domain decomposition based spectral collocation method for Lane-Emden equations, Commun. Comput. Phys., 22 (2017), 542–571. Y. Guo, J. Huang and J. Lai, A posteriori error estimates of the fully discrete finite element method for the wave equations, J. Comput. Appl.Math., 356 (2019), 231-247. Y. Guo and J. Huang, A robust finite element method for elastic vibration problems, Comput. Meth. Appl. Mat., 20 (2020), 481–500. Y. Guo and Z. Wang, An hp-version Chebyshev collocation method for nonlinear fractional differential equations, Appl. Numer. Math., 158 (2020), 194–211. Z. Wang, M. Zhou and Y. Guo, An hp-version Jacobi spectral collocation method for the third-kind VIEs , J. Sci. Comput., 2021, 87: 19. Y. Guo and Z. Wang, An hp-version Legendre spectral collocation method for multi-order fractional differential equations, Adv. Comput. Math., 47 (2021), 27. S. Li, G. Sun, Y. Guo and Z. Wang, A multiple interval chebyshev-gauss-lobatto collocation method for multi-order fractional differential equations, E. Asian J. Appl. Math., 12 (2022) , 649-672. Y. Guo and Z. Wang, A multi-domain chebyshev collocation method for nonlinear fractional delay differential equations, Discrete Cont. Dyn-B, 27 (2022), 7521–7545. Y. Guo and J. Huang, A posteriori error analysis of a P2-CDG space-time finite element method for the wave equation, Numerical Mathematics: Theory, Methods and Applications, 15 (2022), 662-678. Y. Guo and Z. Wang, Two-Grid Spectral Deferred Correction Method for the Multi-Order Fractional Differential Equations, J. Sci. Comput.,2022, 92: 78.
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