Research Interests

Numerical analysis or scientific computing of rational approximations/mesh-free methods for linear PDE, numerical integral transform methods, numerical linear algebra.

Publications

Hunter La Croix, Alan E. Lindsay. The Lightning Method for the Heat Equation. Journal of Scientific Computing, Vol. 107, No. 12, (2026). pdf ArXiV code

Dinesh Ekanayake, Hunter La Croix, Amy Ekanayake. Alternative stable states and disease induced extinction. Mathematical Modelling of Natural Phenomena 19 (2024): 18-33. pdf

Talks

Hunter La Croix, Alan Lindsay. “Least-Squares Series Solutions to PDEs in First Passage Time Problems.” Advances in Asymptotic Analysis and Numerical Methods for First Passage Time Problems in Biology, Kylemore Abbey, Ireland. August 2026.

Hunter La Croix, Alan Lindsay. “A Lightning Solver for the Solution of Planar Diffusion Equations with Applications to Chemical Signaling.” SIAM LS26 MS35, Stochastic Transport and Resource Accumulation in Biology Part III, Cleveland, OH. July 2026.

Hunter La Croix, Alan Lindsay. “A Lightning Heat Solver.” North American High Order Methods, Function Approximation and Sampling, Santa Fe, NM. June 2026.

Hunter La Croix, Alan Lindsay. “A Lightning Solver for the Solution of Planar Diffusion Equations.” Midwest Numerical Analysis Day 2026, Notre Dame, IN. April 2026.

Hunter La Croix, Alan Lindsay. The Lightning Method for the Solution of Planar Diffusion Equations with Applications to Chemical Signaling. SIAM AN25 MS111, Recent Advances in Pattern Formation in PDEs part II, Montreal, QC. July 2025.