Jonathan Jaquette

Ph.D.; Rutgers University-New Brunswick; Mathematics; 2018

B.A.; Swarthmore College; Mathematics; 2011

https://web.njit.edu/~jcj

MATH 111 - CALCULUS I

MATH 792B - PRE DOCTORAL RESEARCH

Nonlinear Dynamics, Computer Assisted Proofs, Partial Differential Equations, Mathematical Neuroscience, Computational Topology

“Understanding Fluid Flux: Topological Data Analysis of Porous Media”
SIAM Conference on Mathematics of Data Science, October (4th Quarter/Autumn) 2024.

Jonathan Jaquette. 2024. “Quasiperiodicity and blowup in integrable subsystems of nonconservative nonlinear Schrödinger equations.” Journal of Dynamics and Differential Equations, vol. 36, no. 1, pp. 1-25.

Jan Bouwe van den Berg, Jonathan Jaquette, Jason D Mireles James. 2023. “Validated numerical approximation of stable manifolds for parabolic partial differential equations.” Journal of Dynamics and Differential Equations, vol. 35, no. 4, pp. 3589-3649.

Jonathan Jaquette, Sonal Kedia, Evelyn Sander, Jonathan D Touboul. 2023. “Reliability and robustness of oscillations in some slow-fast chaotic systems.” Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 33, no. 10, pp. 18.

Akitoshi Takayasu, Jean-Philippe Lessard, Jonathan Jaquette, Hisashi Okamoto. 2022. “Rigorous numerics for nonlinear heat equations in the complex plane of time.” Numerische Mathematik, vol. 151, no. 3, pp. 693-750.

Jonathan Jaquette, Jean-Philippe Lessard, Akitoshi Takayasu. 2022. “Singularities and heteroclinic connections in complex-valued evolutionary equations with a quadratic nonlinearity.” Communications in Nonlinear Science and Numerical Simulation, vol. 107, pp. 14.

“A Novel Method for Computing Spectral Stability of Standing Waves”
The Dynamical Systems Web, October (4th Quarter/Autumn) 2021.