Jonathan Jaquette
Jonathan Jaquette
Assistant Professor, Mathematical Sciences
624 Cullimore Hall (CULM)
Education
Ph.D.; Rutgers University-New Brunswick; Mathematics; 2018
B.A.; Swarthmore College; Mathematics; 2011
B.A.; Swarthmore College; Mathematics; 2011
Experience
New Jersey Institute of Technology
Assistant Professor, September 2023 -
Website
2024 Fall Courses
MATH 676 - ADV ORDINARY DIFFE EQ
Past Courses
MATH 213: CALCULUS III B
MATH 613: ADVANCED APPLIED MATHEMATICS I: MODELING
MATH 613: ADVANCED APPLIED MATHEMATICS I: MODELING
Research Interests
Nonlinear Dynamics, Computer Assisted Proofs, Partial Differential Equations, Mathematical Neuroscience, Computational Topology
Conference Abstract
Understanding Fluid Flux: Topological Data Analysis of Porous Media
SIAM Conference on Mathematics of Data Science, October (4th Quarter/Autumn) 2024
SIAM Conference on Mathematics of Data Science, October (4th Quarter/Autumn) 2024
Journal Article
Jaquette, Jonathan (2024). Quasiperiodicity and blowup in integrable subsystems of nonconservative nonlinear Schrödinger equations. Journal of Dynamics and Differential Equations, 36(1), 1-25.
van den Berg, Jan Bouwe, & Jaquette, Jonathan, & Mireles James, Jason D (2023). Validated numerical approximation of stable manifolds for parabolic partial differential equations. Journal of Dynamics and Differential Equations, 35(4), 3589-3649.
Jaquette, Jonathan, & Kedia, Sonal , & Sander, Evelyn , & Touboul, Jonathan D (2023). Reliability and robustness of oscillations in some slow-fast chaotic systems. Chaos: An Interdisciplinary Journal of Nonlinear Science, 33(10), 18.
Takayasu, Akitoshi, & Lessard, Jean-Philippe, & Jaquette, Jonathan, & Okamoto, Hisashi (2022). Rigorous numerics for nonlinear heat equations in the complex plane of time. Numerische Mathematik, 151(3), 693-750.
Jaquette, Jonathan, & Lessard, Jean-Philippe, & Takayasu, Akitoshi (2022). Singularities and heteroclinic connections in complex-valued evolutionary equations with a quadratic nonlinearity. Communications in Nonlinear Science and Numerical Simulation, 107, 14.
van den Berg, Jan Bouwe, & Jaquette, Jonathan, & Mireles James, Jason D (2023). Validated numerical approximation of stable manifolds for parabolic partial differential equations. Journal of Dynamics and Differential Equations, 35(4), 3589-3649.
Jaquette, Jonathan, & Kedia, Sonal , & Sander, Evelyn , & Touboul, Jonathan D (2023). Reliability and robustness of oscillations in some slow-fast chaotic systems. Chaos: An Interdisciplinary Journal of Nonlinear Science, 33(10), 18.
Takayasu, Akitoshi, & Lessard, Jean-Philippe, & Jaquette, Jonathan, & Okamoto, Hisashi (2022). Rigorous numerics for nonlinear heat equations in the complex plane of time. Numerische Mathematik, 151(3), 693-750.
Jaquette, Jonathan, & Lessard, Jean-Philippe, & Takayasu, Akitoshi (2022). Singularities and heteroclinic connections in complex-valued evolutionary equations with a quadratic nonlinearity. Communications in Nonlinear Science and Numerical Simulation, 107, 14.
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Magazine/Trade Publication
A Novel Method for Computing Spectral Stability of Standing Waves
The Dynamical Systems Web, October (4th Quarter/Autumn) 2021
The Dynamical Systems Web, October (4th Quarter/Autumn) 2021