• Ph D in Applied Mathematics , Iowa State University (2019)

• Reviews and Articles About Creative Work(s) - SIAM Journal on Scientific Computing (01/01/2024-12/31/2024). Peimeng Yin.

• (Some papers appear online in 2024 but are assigned to 2025 upon volume numbering; similarly, some current 2025 papers will be assigned to 2026.) (2025), Note.
• A structure preserving relaxation method for GPPE system (2025), Dongqian 4. Li, Huini Liu, Yin Yang, Peimeng Yin.
• Unconditional energy stable IEQ-FEMs for the Cahn-Hilliard-Navier-Stokes equations International Journal of Numerical Analysis and Modeling to appear (2025), Yaoyao 12. Chen, Dongqian Li, Nianyu Yi, Peimeng Yin.
• Analysis of a $C^0$ finite element method for the biharmonic problem with Dirichlet boundary conditions in a polygonal domain Numerical Algorithms (2025), Hengguang 8. Li, Charuka D. Wickramasinghe, Peimeng Yin.
• A $C^0$ finite element algorithm for the sixth order problem with simply supported boundary conditions Numerical Methods for Partial Differential Equations 41 (2025), Hengguang 7. Li, Peimeng Yin.
• A posteriori error estimators for fourth order elliptic problems with concentrated loads Journal of Scientific Computing 105 (2025), Huihui 6. Cao, Yunqing Huang, Nianyu Yi, Peimeng Yin.
• An efficient adaptive algorithm for photon-electron coupled Boltzmann equation in radiation therapy Journal of Computational Physics 538 (2025), Xilin 5. Zhang, Peimeng Yin, Xue Hong, Wei Wu, Wangyao Li, Yuxin Wang, Yan Xu, Hao Gao.
• Unconditionally energy stable IEQ-FEMs for the Cahn-Hilliard equation and Allen-Cahn equation Numerical Algorithms 99 (2025), Yaoyao 3. Chen, Hailiang Liu, Nianyu Yi, Peimeng Yin.
• Towards dynamical low-rank approximation for neutrino kinetic equations. Part I: analysis of an idealized relaxation model. Mathematics of Computation 94 (2025), Peimeng 4. Yin, Eirik Endeve, Cory Hauck, Stefan Schnake.
• Regularity and an adaptive finite element method for elliptic equations with Dirac sources on line cracks Journal of Computational and Applied Mathematics 462 (2025), Huihui 2. Cao, Hengguang Li, Nianyu Yi, Peimeng Yin.
• A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Journal of Computational Physics 546 (2025), Hailiang 11. Liu, Zhongming Wang, Peimeng Yin.
• A second-order dynamical low-rank mass-lumped finite element method for the Allen-Cahn equation BIT Numerical Mathematics 66 (2025), Jun 10. Yang, Nianyu Yi, Peimeng Yin.
• Neural network-enhanced hr-adaptive finite element algorithm for parabolic equations (2025), Jiaxiong 3. Hao, Yunqing Huang, Nianyu Yi, Peimeng Yin.
• Towards $C^0$ finite element methods for the biharmonic equation under general boundary conditions (2025), Xihao 1. Zhang, Hengguang Li, Nianyu Yi, Peimeng Yin.
• Weights initialization of neural networks for function approximation (2025), Xinwen 2. Hu, Yunqing Huang, Nianyu Yi, Peimeng Yin.
• A structure-preserving relaxation Crank-Nicolson finite element method for the Schrödinger-Poisson equation IMA Journal of Numerical Analysis (2025), Huini 9. Liu, Nianyu Yi, Peimeng Yin.
• Recovery type a posteriori error estimation of adaptive finite element method for Cahn--Hilliard equation. Journal of Scientific Computing 98 2 (2024), Yaoyao 1. Chen, Yunqing Huang, Nianyu Yi, Peimeng Yin.
• Enhanced Surgical Decision-Making Tools in Breast Cancer: Predicting 2-Year Postoperative Physical, Sexual, and Psychosocial Well-Being following Mastectomy and Breast Reconstruction (INSPiRED 004). Annals of Surgical Oncology 30 (2022), Cai 3. Xu, André Pfob, Babak J. Mehrara, Peimeng Yin, Jonas A. Nelson, Andrea L. Pusic, Chris Sidey-Gibbons.
• High order unconditionally energy stable RKDG schemes for the Swift-Hohenberg equation. Journal of Computational and Applied Mathematics 407 (2022), Hailiang 2. Liu, Peimeng Yin.
• A $C^0$ finite element method for the biharmonic problem with Navier boundary conditions in a polygonal domain. IMA Journal of Numerical Analysis 43 (2022), Hengguang 2. Li, Peimeng Yin, Zhimin Zhang.
• Positivity-preserving third order DG schemes for Poisson--Nernst--Planck equations. Journal of Computational Physics 452 (2022), Hailiang 1. Liu, Zhongming Wang, Peimeng Yin, Hui Yu.
• On the SAV-DG method for a class of fourth order gradient flows Numerical Methods for Partial Differential Equations 39 (2022), Hailiang 1. Liu, Peimeng Yin.
• ASO Visual Abstract: Enhanced Surgical Decision-Making Tools in Breast Cancer—Predicting 2-Year Postoperative Physical, Sexual, and Psychosocial Well-Being Following Mastectomy and Breast Reconstruction (INSPiRED 004) Annals of Surgical Oncology 30 (2022), Cai Xu, Andre Pfob, Gabak Mehrara, Peimeng Yin, Jonas Nelson, Andrea Pusic, Chris Sidey-Gibbons.
• Regularity and finite element approximation for two-dimensional elliptic equations with line Dirac sources. Journal of Computational and Applied Mathematics 393 (2021), Hengguang Li, Xiang Wan, Peimeng Yin, Lewei Zhao.
• Unconditionally energy stable DG schemes for the Cahn-Hilliard equation. Journal of Computational and Applied Mathematics 390 (2021), Peimeng Yin.

• Physics-preserving DDG methods for Poisson–Nernst–Planck systems (2025), Peimeng Yin.
• Physics preserving DDG methods for Poisson-Nernst-Plank systems (2024), Volume San Marcos, TX, U.S., Peimeng Yin.
• Dynamical low rank discontinuous Galerkin methods for nutrino kinetic equations (2024), Volume Baylor, Texas, U.S., Peimeng Yin.
• A physics-preserving DDG method for Poisson–Nernst–Planck systems (2024), Volume San Antonio, Texas, U.S., Peimeng Yin.
• Conservative dynamical low-rank approximation for kinetic equations with an isoenergetic scattering kernel (2024), Volume Spokane, Washington, U.S., Peimeng Yin.
• Efficient discontinuous Galerkin methods for time-dependent fourth order partial differential equation. (2023), Volume New Mexico Tech, Socorro, NM, U.S., Peimeng Yin.
• A semi-implicit dynamical low rank discontinuous Galerkin methods for space homogeneous kinetic equations. (2023), Volume University of Louisiana at Lafayette, Lafayette, LA, U.S., Peimeng Yin.
• A semi-implicit dynamical low rank discontinuous Galerkin methods for space homogeneous kinetic equations. (2023), Volume Iowa State University, Ames, IA, U.S., Peimeng Yin.
• A semi-implicit dynamical low rank discontinuous Galerkin methods for space homogeneous kinetic equations. (2023), Volume Texas Tech Universtiy, Lubbock, TX, U.S., Peimeng Yin.
• Implicit dynamical low rank discontinuous Galerkin methods for space homogeneous neutrino transport equations. (2023), Volume Sourtheast Universtiy, Nanjing, China, Peimeng Yin.
• Advanced finite element methods for modern PDE challenges. (2023), Volume University of Texas at El Paso, El Paso, TX, U.S., Peimeng Yin.
• Implicit dynamical low rank discontinuous Galerkin methods for space homogeneous neutrino transport equations. (2023), Volume Boston, MA, U.S., Peimeng Yin.
• Implicit dynamical low rank discontinuous Galerkin methods for space homogeneous neutrino transport equations. (2022), Volume Xiangtan University, Xiangtan, Hunan, China, Peimeng Yin.
• Implicit dynamical low rank discontinuous Galerkin methods for space homogeneous neutrino transport equations. (2022), Volume University of Houston, Houston, TX, U.S., Peimeng Yin.
• Implicit dynamical low rank discontinuous Galerkin methods for space homogeneous neutrino transport equations. (2022), Volume Oak Ridge National Laboratory, Oak Ridge, TN, U.S., Peimeng Yin.
• Implicit dynamical low rank discontinuous Galerkin methods for homogeneous neutrino transport equations. (2022), Volume Wayne State University, Detroit, MI, U.S., Peimeng Yin.
• Implicit dynamical low rank discontinuous Galerkin methods for homogeneous neutrino transport equations. (2022), Volume University of Florida, Gainesville, FL, U.S., Peimeng Yin.
• A C0 finite element method for the biharmonic problem with Navier boundary conditions in a polygonal domain. (2021), Volume Texas Tech University, Lubbock, TX, U.S., Peimeng Yin.
• A C0 finite element method for the biharmonic problem with Navier boundary conditions in a polygonal domain. (2021), Volume Oak Ridge National Laboratory, Oak Ridge, TN, U.S., Peimeng Yin.
• Regularity and finite element approximation for two-dimensional elliptic equations with line Dirac sources. (2021), Volume University of Primorska. Portorozˇ, Slovenia., Peimeng Yin.
• Unconditionally energy stable discontinuous Galerkin methods for a class of fourth order gradient flows. (2021), Volume Oakland University, Rochester, MI, U.S., Peimeng Yin.
• Regularity and finite element approximation for two-dimensional elliptic equations with line Dirac sources. (2021), Volume University of Delaware, Newark, DE, U.S., Peimeng Yin.
• Regularity and finite element approximation for two-dimensional elliptic equations with line Dirac sources. (2021), Volume Iowa State University. Ames, IA, U.S., Peimeng Yin.
• A C0 finite element method for the biharmonic problem with Navier boundary conditions in a polygonal domain. (2021), Volume Iowa State University. Ames, IA, U.S., Peimeng Yin.

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