BIMSA > Axel G.R. Turnquist
Assistant Professor Axel G.R. Turnquist

Group: Theory and Computation of PDE

Office: A11-101

Email: agrt@bimsa.cn

Research Field: Optimal Transport and Numerical Analysis

CV

Biography

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.

Research Interest

  • Optimal Transport
  • Numerical Analysis
  • Differential Geometry
  • Analysis
  • PDE on Manifolds
  • Diffeomorphic Mappings
  • Freeform Optics

Education Experience

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

Work Experience

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

Publication

  • [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)

 

Update Time: 2026-03-11 11:00:10