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Benjamin Goddard
Benjamin Goddard
Reader 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
1062012
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
792013
Nascent transcript folding plays a major role in determining RNA polymerase elongation rates
TW Turowski, E Petfalski, BD Goddard, SL French, A Helwak, D Tollervey
Molecular cell 79 (3), 488-503. e11, 2020
542020
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
442017
The overdamped limit of dynamic density functional theory: Rigorous results
BD Goddard, GA Pavliotis, S Kalliadasis
Multiscale Modeling & Simulation 10 (2), 633-663, 2012
422012
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
412014
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
322017
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
302016
Noisy bounded confidence models for opinion dynamics: the effect of boundary conditions on phase transitions
BD Goddard, B Gooding, H Short, GA Pavliotis
IMA Journal of Applied Mathematics 87 (1), 80-110, 2022
282022
Multi-species dynamical density functional theory
BD Goddard, A Nold, S Kalliadasis
The Journal of Chemical Physics 138 (14), 144904, 2013
282013
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
222009
Superadiabatic transitions in quantum molecular dynamics
V Betz, BD Goddard, S Teufel
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2009
212009
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
192017
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
192016
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
182015
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
142009
The singular hydrodynamic interactions between two spheres in Stokes flow
BD Goddard, RD Mills-Williams, J Sun
Physics of Fluids 32 (6), 2020
112020
Pseudospectral methods and iterative solvers for optimization problems from multiscale particle dynamics
M Aduamoah, BD Goddard, JW Pearson, JC Roden
BIT Numerical Mathematics, 1-41, 2022
102022
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
102019
Atomic structure via highly charged ions and their exact quantum states
G Friesecke, BD Goddard
Physical Review A 81 (3), 032516, 2010
102010
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Articles 1–20