BIMSA > Axel G.R. Turnquist
助理研究员 Axel G.R. Turnquist

团队: 偏微分方程理论与计算

办公室: A11-101

邮箱: agrt@bimsa.cn

研究方向: 最优传输，数值分析

CV

个人简介

My research mostly consists of using tools of analysis and numerical analysis to investigate and compute solutions of problems in optimal transport with “unusual” cost functions. Applications of the mathematical work include optics inverse problems, computational mesh generation, sampling, and optimal control. I completed my Ph.D. thesis on numerical methods for fully nonlinear elliptic PDEs arising in optimal transport in 2022 working under Brittany Hamfeldt at the New Jersey Institute of Technology. From 2022 to 2025 I worked as a postdoc at the University of Texas at Austin under the supervision of Richard Tsai. I joined BIMSA in late May, 2025.

研究兴趣

  • 最优传输
  • 数值分析
  • 微分几何
  • 数学分析
  • 流形上的偏微分方程
  • 微分变形映射
  • 自由曲面光学

教育经历

  • 2016 - 2022      New Jersey Institute of Technology      Mathematics      Ph.D      (Supervisor: Brittany D. Hamfeldt)
  • 2008 - 2012      University of Washington      Physics      B.Sc.

工作经历

  • 2025 -      BIMSA      Assistant Professor
  • 2022 - 2025      University of Texas at Austin      R. H. Bing Fellowship Instructor (Postdoc)

出版物

  • [1] BF Hamfeldt, AGR Turnquist, On the reduction in accuracy of finite difference schemes on manifolds without boundary, IMA Journal of Numerical Analysis, 44(3), 1751-1784 (2024)
  • [2] AGR Turnquist, Adaptive mesh methods on compact manifolds via Optimal Transport and Optimal Information Transport, Journal of Computational Physics, 500, 112726 (2024)
  • [3] R Tsai, AGR Turnquist, A volumetric approach to Monge's optimal transport on surfaces, Journal of Computational Physics, 517, 113352 (2024)
  • [4] AGR Turnquist, Optimal Transport Using Cost Functions with Preferential Direction with Applications to Optics Inverse Problems, arXiv (2024)
  • [5] AGR Turnquist, Optimal transport with defective cost functions with applications to the lens refractor problem, arXiv (2023)
  • [6] BF Hamfeldt, AGR Turnquist, A convergence framework for optimal transport on the sphere, Numerische Mathematik, 151(3), 627-657 (2022)
  • [7] AGR Turnquist, Numerical Methods for Optimal Transport and Optimal Information Transport on the Sphere, New Jersey Institute of Technology (2022)
  • [8] BF Hamfeldt, AGR Turnquist, A convergent finite difference method for optimal transport on the sphere, Journal of Computational Physics, 445, 110621 (2021)
  • [9] B Froese Hamfeldt, AGR Turnquist, Convergent numerical method for the reflector antenna problem via optimal transport on the sphere, Journal of the Optical Society of America A, 38(11), 1704-1713 (2021)
  • [10] AGR Turnquist, HG Rotstein, Quadratization: From conductance-based models to caricature models with parabolic nonlinearities, Encyclopedia of computational neuroscience, 1-11 (2018)

 

更新时间: 2026-03-11 10:00:09