Benjamin Goddard
Benjamin Goddard
Lecturer in Applied Mathematics, University of Edinburgh
Verified email at ed.ac.uk
Title
Cited by
Cited by
Year
General Dynamical Density Functional Theory for Classical Fluids
BD Goddard, A Nold, N Savva, GA Pavliotis, S Kalliadasis
Physical Review Letters 109 (12), 120603, 2012
902012
Unification of dynamic density functional theory for colloidal fluids to include inertia and hydrodynamic interactions: derivation and numerical experiments
BD Goddard, A Nold, N Savva, P Yatsyshin, S Kalliadasis
Journal of Physics: Condensed Matter 25 (3), 035101, 2013
642013
Fluid structure in the immediate vicinity of an equilibrium three-phase contact line and assessment of disjoining pressure models using density functional theory
A Nold, DN Sibley, BD Goddard, S Kalliadasis
Physics of Fluids 26 (7), 072001, 2014
382014
The overdamped limit of dynamic density functional theory: Rigorous results
BD Goddard, GA Pavliotis, S Kalliadasis
Multiscale Modeling & Simulation 10 (2), 633-663, 2012
352012
Nonequilibrium molecular dynamics simulations of nanoconfined fluids at solid-liquid interfaces
M Morciano, M Fasano, A Nold, C Braga, P Yatsyshin, DN Sibley, ...
The Journal of chemical physics 146 (24), 244507, 2017
292017
Multi-species dynamical density functional theory
BD Goddard, A Nold, S Kalliadasis
The Journal of Chemical Physics 138 (14), 144904, 2013
252013
Dynamical density functional theory with hydrodynamic interactions in confined geometries
BD Goddard, A Nold, S Kalliadasis
The Journal of Chemical Physics 145 (21), 214106, 2016
222016
Pseudospectral methods for density functional theory in bounded and unbounded domains
A Nold, BD Goddard, P Yatsyshin, N Savva, S Kalliadasis
Journal of Computational Physics 334, 639-664, 2017
212017
Nanoscale fluid structure of liquid-solid-vapour contact lines for a wide range of contact angles
A Nold, DN Sibley, BD Goddard, S Kalliadasis
Mathematical Modelling of Natural Phenomena 10 (4), 111-125, 2015
192015
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
G Friesecke, BD Goddard
SIAM Journal on Mathematical Analysis 41 (2), 631-664, 2009
192009
Superadiabatic transitions in quantum molecular dynamics
V Betz, BD Goddard, S Teufel
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2009
172009
Asymptotics-based CI models for atoms: properties, exact solution of a minimal model for Li to Ne, and application to atomic spectra
G Friesecke, BD Goddard
Multiscale Modeling & Simulation 7 (4), 1876-1897, 2009
152009
Dynamical density functional theory for orientable colloids including inertia and hydrodynamic interactions
MA Durán-Olivencia, BD Goddard, S Kalliadasis
Journal of Statistical Physics 164 (4), 785-809, 2016
132016
General framework for fluctuating dynamic density functional theory
MA Durán-Olivencia, P Yatsyshin, BD Goddard, S Kalliadasis
New Journal of Physics 19 (12), 123022, 2017
112017
Atomic structure via highly charged ions and their exact quantum states
G Friesecke, BD Goddard
Physical Review A 81 (3), 032516, 2010
82010
Accurate prediction of nonadiabatic transitions through avoided crossings
V Betz, BD Goddard
Physical review letters 103 (21), 213001, 2009
82009
The vicinity of an equilibrium three-phase contact line using density-functional theory: density profiles normal to the fluid interface
A Nold, L González MacDowell, DN Sibley, BD Goddard, S Kalliadasis
Molecular Physics 116 (17), 2239-2243, 2018
42018
Nonadiabatic transitions through tilted avoided crossings
V Betz, BD Goddard
SIAM Journal on Scientific Computing 33 (5), 2247-2276, 2011
42011
Rate of convergence of the configuration interaction model for the helium ground state
BD Goddard
SIAM Journal on Mathematical Analysis 41 (1), 77-116, 2009
42009
Automated Calculation of Higher Order Partial Differential Equation Constrained Derivative Information
JR Maddison, DN Goldberg, BD Goddard
SIAM Journal on Scientific Computing 41 (5), C417-C445, 2019
32019
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Articles 1–20