郑如梦，女，山东肥城人，中共党员，山东大学理学博士，现任公司预聘制副教授。
教学方面，为本科生主讲《高等数学》、《概率论与数理统计》、《概率论与数理统计（双语）》等课程。
目前主要研究方向：分数阶偏微分方程和复杂非牛顿流体时间分数阶模型的高精度数值模拟方法。
教育经历
2011.09-2015.06曲阜师范大学数学与应用数学专业毕业，获学士学位；
2015.09-2020.06山东大学应用数学专业硕博连读，获博士学位。
访问经历
2018.11-2019.11澳大利亚昆士兰科技大学，博士联合培养。
工作经历
2020.08-至今 公司预聘制副教授。
发表主要论文
1.Rumeng Zheng, Hui Zhang, Xiaoyun Jiang. Legendre spectral methods based on two families of novel second-order numerical formulas for the fractional activator-inhibitor system. Applied Numerical Mathematics. 2021. 162. 235-248. (SCI)
2.Rumeng Zheng,Fawang Liu, Xiaoyun Jiang, Ian W. Turner. Finite difference/spectral methods for the two-dimensional distributed-order time-fractional cable equation. Computers and Mathematics with Applications. 2020. 80(6). 1523-1537. (SCI)
3.Rumeng Zheng, Fawang Liu, Xiaoyun Jiang. A Legendre spectral method on graded meshes for the two-dimensional multi-term time-fractional diffusion equation with non-smooth solutions. Applied Mathematics Letters. 2020. 104. 106247. (SCI)
4.Rumeng Zheng, Xiaoyun Jiang, Hui Zhang. Efficient and accurate spectral method for the time‐fractional dual‐phase‐lag heat transfer model and its parameter estimation. Mathematical Methods in the Applied Sciences. 2020. 43(5). 2216-2232. (SCI)
5.Rumeng Zheng, Xiaoyun Jiang. Spectral methods for the time-fractional Navier-Stokes equation. Applied Mathematics Letters. 2019. 91. 194-200. (SCI)
6.Rumeng Zheng, Xiaoyun Jiang, Hui Zhang. L1 Fourier spectral methods for a class of generalized two-dimensional time fractional nonlinear anomalous diffusion equations. Computers and Mathematics with Applications. 2018. 75(5). 1515-1530. (SCI)
7. Hui Zhang, Xiaoyun Jiang,Rumeng Zheng. Chebyshev-Legendre spectral method and inverse problem analysis for the space fractional Benjamin-Bona-Mahony equation. Numerical algorithms. 2020. 84(2). 513-536. (SCI)
8. Hui Zhang, Xiaoyun Jiang, Moli Zhao,Rumeng Zheng. Spectral method for solving the time fractional Boussinesq equation. Applied Mathematics Letters. 2018. 85. 164-170. (SCI)
主持及参与的课题
1.国家自然科学基金委员会，面上项目，11771254，几类分数阶非线性发展方程的高效算法及其在流体力学中的应用，2018-01至2021-12，48万元，在研，参加。