Asymptotics-Based CI Models for Atoms: Properties, Exact Solution of a Minimal Model for Li to Ne, and Application to Atomic Spectra. - Gero Friesecke; Benjamin D. Goddard (Multiscale Model. Simul., 2009)

Explicit Large Nuclear Charge Limit of Electronic Ground States for Li, Be, B, C, N, O, F, Ne and Basic Aspects of the Periodic Table. - Gero Friesecke; Benjamin D. Goddard (SIAM J. Math. Anal., 2009)

Rate of Convergence of the Configuration Interaction Model for the Helium Ground State. - Benjamin D. Goddard (SIAM J. Math. Anal., 2009)

Nonadiabatic Transitions Through Tilted Avoided Crossings. - Volker Betz; Benjamin D. Goddard (SIAM J. Sci. Comput., 2011)

The Overdamped Limit of Dynamic Density Functional Theory: Rigorous Results. - Benjamin D. Goddard; Grigorios A. Pavliotis; Serafim Kalliadasis (Multiscale Model. Simul., 2012)

Pseudospectral methods for density functional theory in bounded and unbounded domains. - Andreas Nold; Benjamin D. Goddard; Peter Yatsyshin; Nikos Savva; Serafim Kalliadasis (J. Comput. Phys., 2017)

Nonadiabatic Transitions in Multiple Dimensions. - Volker Betz; Benjamin D. Goddard; Tim Hurst (SIAM J. Sci. Comput., 2019)

Automated Calculation of Higher Order Partial Differential Equation Constrained Derivative Information. - James R. Maddison; Daniel N. Goldberg; Benjamin D. Goddard (SIAM J. Sci. Comput., 2019)

PDE-Constrained Optimization Models and Pseudospectral Methods for Multiscale Particle Dynamics. - Mildred Aduamoah; Benjamin D. Goddard; John W. Pearson; Jonna C. Roden (CoRR, 2020)

MultiShape: A Spectral Element Method, with Applications to Dynamic Density Functional Theory and PDE-Constrained Optimization. - Jonna C. Roden; Rory D. Mills-Williams; John W. Pearson; Benjamin D. Goddard (CoRR, 2022)

Improving tobacco social contagion models using agent-based simulations on networks. - Adarsh Prabhakaran; Valerio Restocchi; Benjamin D. Goddard (Appl. Netw. Sci., 2023)

Stability of stationary states for mean field models with multichromatic interaction potentials. - Benedetta Bertoli; Benjamin D. Goddard; Grigorios A. Pavliotis (CoRR, 2024)

Efficient nonlocal linear image denoising: Bilevel optimization with Nonequispaced Fast Fourier Transform and matrix-free preconditioning. - Andrés Miniguano-Trujillo; John W. Pearson; Benjamin D. Goddard (CoRR, 2024)