Soliton Splitting by External Delta Potentials. - Justin Holmer; Jeremy Louis Marzuola; Maciej Zworski (J. Nonlinear Sci., 2007)

Counting numerical sets with no small atoms. - Jeremy Louis Marzuola; Andy Miller (J. Comb. Theory A, 2010)

A System of ODEs for a Perturbation of a Minimal Mass Soliton. - Jeremy Louis Marzuola; Sarah Raynor; Gideon Simpson (J. Nonlinear Sci., 2010)

A Class of Stable Perturbations for a Minimal Mass Soliton in Three-Dimensional Saturated Nonlinear Schrödinger Equations. - Jeremy Louis Marzuola (SIAM J. Math. Anal., 2010)

Behavior of a Model Dynamical System with Applications to Weak Turbulence. - James E. Colliander; Jeremy Louis Marzuola; Tadahiro Oh; Gideon Simpson (Exp. Math., 2013)

The Structure of Global Attractors for Dissipative Zakharov Systems with Forcing on the Torus. - Mehmet Burak Erdogan; Jeremy Louis Marzuola; Katherine Newhall; N. Tzirakis (SIAM J. Appl. Dyn. Syst., 2015)

Nonlinear Bound States in a Schrödinger-Poisson System with External Potential. - Jeremy Louis Marzuola; Sarah Raynor; Gideon Simpson (SIAM J. Appl. Dyn. Syst., 2017)

Gross-Pitaevskii Vortex Motion with Critically Scaled Inhomogeneities. - Matthias Kurzke; Jeremy Louis Marzuola; Daniel Spirn (SIAM J. Math. Anal., 2017)

Spectral Band Degeneracies of $ frac{ pi}{2}$-Rotationally Invariant Periodic Schrödinger Operators. - Rachael T. Keller; Jeremy Louis Marzuola; Braxton Osting; Michael I. Weinstein (Multiscale Model. Simul., 2018)

Quadrature by Two Expansions: Evaluating Laplace Layer Potentials using Complex Polynomial and Plane Wave Expansions. - Lingyun Ding; Jingfang Huang; Jeremy Louis Marzuola (CoRR, 2019)

Trigonometric integrators for quasilinear wave equations. - Ludwig Gauckler; Jianfeng Lu 001; Jeremy Louis Marzuola; Frederic Rousset; Katharina Schratz (Math. Comput., 2019)

Existence and Stability of Schrödinger Solitons on Noncompact Manifolds. - David Borthwick; Roland Donninger; Enno Lenzmann; Jeremy Louis Marzuola (SIAM J. Math. Anal., 2019)

A Proximal-Gradient Algorithm for Crystal Surface Evolution. - Katy Craig; Jian-Guo Liu 006; Jianfeng Lu 001; Jeremy Louis Marzuola; Li Wang 036 (CoRR, 2020)

ERRATUM: Spectral Band Degeneracies of $ frac{ pi}{2}$-Rotationally Invariant Periodic Schrödinger Operators. - Rachael T. Keller; Jeremy Louis Marzuola; Braxton Osting; Michael I. Weinstein (Multiscale Model. Simul., 2020)

Quantitative bounds on Impedance-to-Impedance operators with applications to fast direct solvers for PDEs. - Thomas Beck; Yaiza Canzani; Jeremy Louis Marzuola (CoRR, 2021)

Quadrature by two expansions: Evaluating Laplace layer potentials using complex polynomial and plane wave expansions. - Lingyun Ding; Jingfang Huang; Jeremy Louis Marzuola; Zhuochao Tang (J. Comput. Phys., 2021)

A Metric on Directed Graphs and Markov Chains Based on Hitting Probabilities. - Zachary M. Boyd; Nicolas Fraiman; Jeremy Louis Marzuola; Peter J. Mucha; Braxton Osting; Jonathan Weare (SIAM J. Math. Data Sci., 2021)

Numerical algorithms for water waves with background flow over obstacles and topography. - David M. Ambrose; Roberto Camassa; Jeremy Louis Marzuola; Richard M. McLaughlin; Quentin Robinson; Jon Wilkening (Adv. Comput. Math., 2022)

Escape times for subgraph detection and graph partitioning. - Zachary M. Boyd; Nicolas Fraiman; Jeremy Louis Marzuola; Peter J. Mucha; Braxton Osting (CoRR, 2022)

Symmetry Breaking and the Generation of Spin Ordered Magnetic States in Density Functional Theory Due to Dirac Exchange for a Hydrogen Molecule. - Michael J. Holst; Houdong Hu; Jianfeng Lu 001; Jeremy Louis Marzuola; Duo Song; Jonathan Weare (J. Nonlinear Sci., 2022)

A proximal-gradient algorithm for crystal surface evolution. - Katy Craig; Jian-Guo Liu 006; Jianfeng Lu 001; Jeremy Louis Marzuola; Li Wang 101 (Numerische Mathematik, 2022)

Defect Resonances of Truncated Crystal Structures. - Jianfeng Lu 001; Jeremy Louis Marzuola; Alexander B. Watson (SIAM J. Appl. Math., 2022)

Damping for fractional wave equations and applications to water waves. - Thomas Alazard; Jeremy Louis Marzuola; Jian Wang (CoRR, 2023)

An Escape Time Formulation for Subgraph Detection and Partitioning of Directed Graphs. - Zachary M. Boyd; Nicolas Fraiman; Jeremy Louis Marzuola; Peter J. Mucha; Braxton Osting (SIAM J. Matrix Anal. Appl., 2024)

Targeting Influence in a Harmonic Opinion Model. - Zachary M. Boyd; Nicolas Fraiman; Jeremy Louis Marzuola; Peter J. Mucha; Braxton Osting (SIAM J. Appl. Math., 2025)

QGLAB: A MATLAB Package for Computations on Quantum Graphs. - Roy H. Goodman; Grace Conte; Jeremy Louis Marzuola (SIAM J. Sci. Comput., 2025)

On non-local exchange and scattering operators in domain decomposition methods. - Thomas Beck; Yaiza Canzani; Jeremy Louis Marzuola (CoRR, 2025)