Peimeng Yin
Peimeng Yin
Department
Department of Mathematics
Research interest(s)/area of expertise

My main research interests lie in the field of Numerical analysis, applied mathematics and scientific computing,
• Design and Analysis of numerical methods
– Direct discontinuous Galerkin methods, Mixed discontinuous Galerkin methods, finite element methods, Finite diffrente methods, Graded meshes
• Numerical solution of nonlinear Partial Differential Equations, such as Elliptic equations (e.g.,PoissonBoltzmann equation, Biharmonic equation), timedependent PDEs ( SwiftHohenberg equation, and CahnHilliard equation), singular problems
• Asymptotic method for Kinetic equations (e.g., BhatnagarGrossKrook (BGK) equation)
Education
 2019.08. Ph.D., Applied Mathematics, Iowa State University. Advisors: Hailiang Liu & Songting Luo
Awards and grants

1. Spring 2019, Mario Gutierrez Fund for International Graduate Students, International Students and Scholars Office, Iowa State University.
2. Fall 2017, Wolfe Research Fellowship: one semester free of teaching duties for focusing on research awarded for Spring 2018, Iowa State University.
Selected publications
2020
[8] Hailiang Liu and Peimeng Yin. Unconditionally energy stable SAVDG schemes for the SwiftHohenberg equation. Journal of Computational Physics, submitted.[7] Hengguang Li, Xiang Wan, Peimeng Yin* and Lewei Zhao. Regularity and finite element approximation for twodimensional elliptic equations with line Dirac sources. Journal of Computational and Applied Mathematics, submitted.
[6] Hailiang Liu and Peimeng Yin*. Unconditionally energy stable DG schemes for the CahnHilliard equation. Computer Methods in Applied Mechanics and Engineering, submitted.
[5] Hailiang Liu, James Ralston and Peimeng Yin. General Superpositions of Gaussian beams and propagation error. Mathematics of Computation, 89 (2020), pp. 675697.
2019
[4] Hailiang Liu and Peimeng Yin. Unconditionally energy stable DG schemes for the SwiftHohenberg equation. Journal of Scientific Computing, 812 (2019), pp. 789–819.2018
[3] Hailiang Liu and Peimeng Yin. A mixed discontinuous Galerkin method without interior penalty for timedependent fourth order problems. Journal of Scientific Computing, 77 (2018), pp. 467501.[2] Peimeng Yin, Yunqing Huang and Hailiang Liu. Error estimates for the iterative discontinuous Galerkin method to the nonlinear PoissonBoltzmann equation. Communications in Computational Physics, 23 (2018), pp. 168197.
2014
[1] Peimeng Yin, Yunqing Huang and Hailiang Liu. An iterative discontinuous Galerkin method for solving the nonlinear PoissonBoltzmann equation. Communications in Computational Physics, 16 (2014), pp. 491515.Currently teaching

Winter 2020, MAT 2020, Calculus II; MAT 2030, Calculus III.
Courses taught
• Instructor at Wayne State University:
– Winter 2020, MAT 2020, Calculus II; MAT 2030, Calculus III.
– Fall 2019, MAT 2020, Calculus II.
• Instructor at Iowa State University:
– Summer 2016, MATH 166, Calculus II.
– Summer 2015, MATH 492, Undergraduate Seminar (Numerical Analysis).
• Recitation Leader at Iowa State University:
– Fall 2016 / Fall 2017 / Fall 2018, MATH 143, Precalculus (6 sections).
– Spring 2016 / Spring 2017, MATH 267, ODEs and Laplace Transforms (6 sections).
– Spring 2015, MATH 166, Calculus II (3 sections).