Publications

Here is the link to my Google scholar page.

In the list of publications, asterisks * indicate an undergraduate research student.

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Pre-prints

[2] R. Smith, M. Pasha, A. Galindo-Olarte, H. Al Daas, G. Ballard, J. Nakao, J.-M. Qiu, and W. Taitano, "Efficient Sketching-Based Summation of Tucker Tensors." Submitted.

[1] A. Galindo-Olarte, J. Nakao, M. Pasha, J.-M. Qiu, and W. Taitano, "A nodal discontinuous Galerkin method with low-rank velocity space representation for the multi-scale BGK model." Submitted.


Journal/Conference Publications

[5] J. Nakao, G. Ceruti, and L. Einkemmer, "A low-rank, high-order implicit-explicit integrator for three-dimensional convection-diffusion equations." Computer Physics Communications, 325 (2026), pp. 110163.

[4] J. Nakao, J.-M. Qiu, and L. Einkemmer, "Reduced Augmentation Implicit Low-rank (RAIL) integrators for advection-diffusion and Fokker-Planck models." SIAM Journal on Scientific Computing, 47:2 (2025).

[3] J. Chen, J. Nakao, J.-M. Qiu, and Y. Yang, "A high-order Eulerian-Lagrangian Runge-Kutta finite volume (EL-RK-FV) method for scalar nonlinear conservation laws." Journal of Scientific Computing, 102:12 (2025).

[2] J. Nakao, J. Chen, and J.-M. Qiu, "An Eulerian-Lagrangian Runge-Kutta finite volume (EL-RK-FV) method for solving convection and convection-diffusion equations." Journal of Computational Physics, 470 (2022), pp. 111589.

[1] J. Nakao and Y.L. Han, "Preliminary simulated results modeling a dynamic heating cancer ablation probe." Proceedings of the ASME 2018 IMECE, Pittsburgh, PA, 2018.


Ph.D. Dissertation

[1] J. Nakao, "Speeding up high-order algorithms in computational fluid and kinetic dynamics: based on characteristics tracing and low-rank structures." University of Delaware, (2023).


Diversity Articles

[4] C. Goff, M. Hill, and J. Nakao, "A Word From...Spectra on the Recent Efforts Supporting LGBTQ+ Mathematicians." Notices of the American Mathematical Society, 71:6 (2024), pp. 705-707.

[3] J. Nakao, "Recent activities and progress by Spectra and the LGBTQ+ mathematics community." MAA FOCUS, 43:6 (2023/2024), pp. 10-13.

[2] R. Buckmire, A. Folsom, C. Goff, A. Hoover, J. Nakao, and K.A. Sather-Wagstaff, "On best practices for the recruitment, retention, and flourishing of LGBTQ+ mathematicians." Notices of the American Mathematical Society, 70:6 (2023), pp. 979-985.

[1] J. Nakao, "The pot of gold at the end of the rainbow -- how mathematics departments can increase LGBTQ+ inclusivity." MAA Math Values Blog, (2021).