Education

• PhD Computational and Applied Mathematics, Colorado School of Mines ('19)
• MS Applied Mathematics (with a concentration in dynamical systems and chaos), San Diego State University ('14)
• BA Mathematics, Cal Poly Humboldt (formerly Humboldt State University) ('12)
• BA Philosophy, Cal Poly Humboldt (formerly Humboldt State University) ('12)
• AA Philosophy, Southwestern College ('08)

Research Interests

• Numerical Analysis, Approximation Theory, Computational Fluid Dynamics

Teaching

• Spring 2026: Intro to Linear Algebra (Math 261)
• Winter 2026: Applied Ordinary Differntial Equations (Math 256)
• Fall 2025: Applied Linear Algebra (Math 343)

Publications

1. N. Fisher, Approximations with Non-Symmetric Green's Kernels and their Application to Fractional Differential Equations, In preparation.
2. N. Fisher, Radial basis function finite differencing for fractional diffusion equations, Computers & Mathematics with Applications, Submitted.
3. V. Rielly, K. Lahouel, A. Kolshorn, C. Nguyen, N. Fisher, and B. Jedynak, ROCK: Riesz Occupation Kernel Methods for Learning Dynamical Systems, SIAM Journal of Scientific Computing, In revision.
4. Z. Grey, N. Fisher, and A. Glaws, Explainable Binary Classification of Separable Shape Ensembles, Journal of Mathematical Imaging and Vision, In revision.
5. N. Fisher, W. Gao, and G. Fasshauer, Quasi-interpolation for the Helmoholtz-Hodge decomposition, IMA Journal of Numerical analysis, In revision.
6. V. Rielly, E. Lew, K. Lahouel, N. Fisher, M. Wells, V. Haney, and B. Jedynak MOCK: an Algorithm for Learning Nonparametric Differential Equations via Multivariate Occupation Kernel Functions, (2025), Transactions on Machine Learning Research, URL: openreview.net/pdf?id=fjVIp2Z9RS
7. B. Bialecki and N. Fisher, Orthogonal spline collocation for Poisson's equation with Neumann boundary conditions, (2023), International Journal of Numerical Analysis and Modeling, DOI: 10.4208/ijnam2023-1036.
8. N. Fisher, ADI + MDA orthogonal spline collocation for the pressure Poisson reformulation of the Navier-Stokes equations in two Space Variables, (2023), Mathematics and Computers in Simulation, DOI: 10.1016/j.matcom.2023.01.020.
9. W. Gao, G. Fasshauer, and N. Fisher, Divergence-free quasi-Interpolation, (2022), Appl. Comput. Harmon. Anal., DOI: 10.1016/j.acha.2022.04.004
10. N. Fisher and B. Bialecki, Extrapolated ADI Crank-Nicolson orthogonal spline collocation for coupled Burgers' equations, (2019), Journal of Difference Equations and Applications, DOI: 10.1080/10236198.2019.11701671.
11. B. Bialecki and N. Fisher, Maximum norm convergence analysis of extrapolated Crank-Nicolson orthogonal spline collocation for Burgers' equation in one space variable, (2018), Journal of Difference Equations and Applications, DOI: 10.1080/10236198.2018.1512981.