最高学历、学位： 研究生、博士
职称： 副教授
职务： 系主任
办公室： 信息与计算科学系2教321室
电子邮箱： ycheng@usts.edu.cn
一、基本情况
2010.9—2016.6,就读于南京大学数学系，获理学博士学位；2016.9—至今,工作于十大网赌正规网址信息与计算科学系。
主讲高等数学、计算方法等本科生课程及科学计算、间断有限元方法等研究生课程。曾获十大网赌正规网址第九届青年教师讲课竞赛二等奖及青年教师标兵等。作为第一指导教师获得全国大学生数学建模竞赛全国一等奖（2022）及美国大学生数学建模竞赛特等奖提名（2021）等。
二、主要研究领域及学术成就
从事偏微分方程数值解的研究。主要研究兴趣为奇异摄动问题的数值解以及局部间断有限元方法。近年来，在Math. Comp.、Numer. Math.、J. Sci. Comput.、Numer. Algor.、J. Comput. Appl. Math.等期刊上发表论文二十余篇。主持完成国家自然科学基金、江苏省自然科学基金、江苏省高校自然科学基金各1项以及校级项目多项。担任江苏省计算数学学会理事。
三、代表性科研成果
1.Y.Cheng, M. Stynes*, The local discontinuous Galerkin method for a singularly perturbed convection-diffffusion problem with characteristic and exponential layers, to appear, Numerische Mathematik, 2023
2.Y.Cheng, S. Jiang, M. Stynes*, Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem, Mathematics of Computation, 92 (343), 2023, 2065-2095
3.Y.Cheng*, X. Wang, Optimal pointwise convergence of the LDG method for singularly perturbed convection-diffusion problem，Applied Mathematics Letters, 140 (2023) 108590
4.L.Yan, Y.Cheng*, Local discontinuous Galerkin method on graded meshes for a third order singularly perturbed problem, to appear, ZAMM Z. Angew. Math. Mech., 2023, DOI:10.1002/zamm.202300238
5.L.Yan, Y.Cheng*, Local discontinuous Galerkin method for a third-order singularly perturbed problem of reaction-diffusion type, ZAMM Z. Angew. Math. Mech., 2022,102(12):e202200238
6.L.Yan, Z.Wang, Y.Cheng*, Local discontinuous Galerkin method for a third order singularly perturbed problem of convection-diffusion type, to appear, Computational Methods in Applied Mathematics, 2022, DOI:10.1515/cmam-2022-0176
7.Y.Cheng*, Y.J. Mei, H.-G.Roos. The local discontinuous Galerkin method on layer-adapted meshes for time-dependent singularly perturbed convection-diffusion problems，Computers and Mathematics with Applications, 117(2022),245–256.
8.Y.Cheng*, L.Yan, Y.J. Mei. Balanced-norm error estimate of the local discontinuous Galerkin method on layer-adapted meshes for reaction-diffusion problems, Numerical Algorithms, 91 (2022), 1597-1626.
9.Y.Cheng*, L. Yan, X. Wang, Y. Liu，Optimal maximum-norm estimate of the LDG method for singularly perturbed convection-diffusion problem, Applied Mathematics Letters, 128 (2022), 107947, https://doi.org/10.1016/j.aml.2022.107947
10.Y.Cheng*, Y.J.Mei, Analysis of generalised alternating local discontinuous Galerkin method on layer-adapted mesh for singularly perturbed problems, Calcolo, 58, 52 (2021). https://doi.org/10.1007/s10092-021-00445-2.
11.Y.Cheng*. On the local discontinuous Galerkin method for singularly perturbed problem with two parameters, Journal of Computational and Applied Mathematics, 392:113485, 2021. https://doi.org/10.1016/j.cam.2021.113485.
12.Y.Cheng*, C.J. Song, Y.J. Mei. Local discontinuous Galerkin method for time-dependent singularly perturbed semilinear reaction-diffusion problems. Computational Methods in Applied Mathematics, 21(1), 2021, 31-52. https://doi.org/10.1515/cmam-2019-0185.
13.Y.Cheng*, Optimal error estimate of the local discontinuous Galerkin methods based on the generalized alternating numerical fluxes for nonlinear convection-diffusion equations. Numerical Algorithms, 80(4), 2019,1329-1359. https://doi.org/10.1007/s11075-018-0529-8.
14.Y.Cheng, Q.Zhang, H.J.Wang*, Local analysis of the local discontinuous Galerkin method with the generalized alternating numerical flux for two-dimensional singularly perturbed problem. International Journal of Numerical Analysis and Modeling, 15(6), 2018, 785-810.
15.Y.Cheng, X.Meng, Q.Zhang*, Application of generalized Gauss-Radau projections for the local discontinuous Galerkin method for linear convection-diffusion equations. Mathematics of Computation, 86(305), 2017, 1233-1267. https://doi.org/10.1090/mcom/3141.
16.Y.Cheng, Q.Zhang*, Local analysis of local discontinuous Galerkin method with generalized alternating numerical flux for one-dimensional singularly perturbed problem. Journal of Scientific Computing, 72(2), 2017, 792-819. https://doi.org/10.1007/s10915 -017-0378-y.
17.Y.Cheng, Q.Zhang*, Local analysis of the fully discrete local discontinuous Galerkin method for the time-dependent singularly perturbed problem. Journal of Computational Mathematics, 35(3), 2017, 265-288. https://doi.org/10.4208/jcm.1605-m2015-0398.
18.Y.Cheng, F.Zhang, Q.Zhang*, Local analysis of local discontinuous Galerkin method for the time-dependent singularly perturbed problem. Journal of Scientific Computing, 63(2), 2015, 452-477. https://doi.org/10.1007/s10915-014-9901-6.
