Axel G. R. Turnquist, Ph.D.

Department of Mathematical Sciences

New Jersey Institute of Technology

Advisor: Brittany Froese Hamfeldt

Email: agt6 [at] njit [dot] edu

Curriculum Vitae

Starting August 2022, I will be doing postdoctoral research at the

Department of Mathematics, University of Texas at Austin

as an R. H. Bing Fellow

Research Interests:

• Optimal Transport
• Monge-Ampère PDE
• PDE on Manifolds
• Diffeomorphic Mappings
• Numerical Analysis
• Wasserstein Distance
• Mean-Field Games
• Machine Learning

Publications:

In Preparation

• Hamfeldt, B. F., Turnquist, A. G. R. Higher-Order Numerical Schemes for the Optimal Transport Problem on the Sphere

Preprints

• Hamfeldt, B. F., Turnquist, A. G. R. On the Reduction in Accuracy of Finite Difference Schemes on Manifolds without Boundary arXiv Link


• Turnquist, A. G. R. Convergent Numerical Methods for Adaptive Meshes on the Sphere via Optimal Transport and Optimal Information Transport arXiv Link

In Print

• Hamfeldt, B. F., Turnquist, A. G. R. A Convergence framework for optimal transport on the sphere Numerische Mathematik (2022) Link


• Brittany Froese Hamfeldt and Axel G. R. Turnquist Convergent numerical method for the reflector antenna problem via optimal transport on the sphere J. Opt. Soc. Am. A 38, 1704-1713 (2021) Link Received Editor's Pick


• Brittany Froese Hamfeldt and Axel G. R. Turnquist A convergent finite difference method for optimal transport on the sphere Journal of Computational Physics, 2021 Link


• Turnquist, A. G. R., Rotstein, H. G. Quadratization: From Conductance-Based Models to Caricature Models with Parabolic Nonlinearities Link

Links: