Traveling two and three dimensional capillary gravity water waves W Craig, DP Nicholls SIAM Journal on Mathematical Analysis 32 (2), 323-359, 2000 | 203 | 2000 |
Hamiltonian long–wave expansions for water waves over a rough bottom W Craig, P Guyenne, DP Nicholls, C Sulem Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2005 | 148 | 2005 |
A new approach to analyticity of Dirichlet-Neumann operators DP Nicholls, F Reitich Proceedings of the Royal Society of Edinburgh Section A: Mathematics 131 (6 …, 2001 | 140 | 2001 |
Stability of high-order perturbative methods for the computation of Dirichlet–Neumann operators DP Nicholls, F Reitich Journal of Computational Physics 170 (1), 276-298, 2001 | 127 | 2001 |
Traveling gravity water waves in two and three dimensions W Craig, DP Nicholls European Journal of Mechanics-B/Fluids 21 (6), 615-641, 2002 | 107 | 2002 |
A high-order spectral method for nonlinear water waves over moving bottom topography P Guyenne, DP Nicholls SIAM Journal on Scientific Computing 30 (1), 81-101, 2008 | 104 | 2008 |
Shape deformations in rough-surface scattering: improved algorithms DP Nicholls, F Reitich JOSA A 21 (4), 606-621, 2004 | 96 | 2004 |
Shape deformations in rough-surface scattering: cancellations, conditioning, and convergence DP Nicholls, F Reitich JOSA A 21 (4), 590-605, 2004 | 89 | 2004 |
Traveling water waves: spectral continuation methods with parallel implementation DP Nicholls Journal of Computational Physics 143 (1), 224-240, 1998 | 72 | 1998 |
A stable high-order method for two-dimensional bounded-obstacle scattering DP Nicholls, J Shen SIAM Journal on Scientific Computing 28 (4), 1398-1419, 2006 | 62 | 2006 |
Exact non-reflecting boundary conditions on general domains DP Nicholls, N Nigam Journal of Computational physics 194 (1), 278-303, 2004 | 56 | 2004 |
Stable, high-order computation of traveling water waves in three dimensions DP Nicholls, F Reitich European Journal of Mechanics-B/Fluids 25 (4), 406-424, 2006 | 55 | 2006 |
A stable, high-order method for three-dimensional, bounded-obstacle, acoustic scattering Q Fang, DP Nicholls, J Shen Journal of Computational Physics 224 (2), 1145-1169, 2007 | 54 | 2007 |
Analyticity of Dirichlet--Neumann Operators on Hölder and Lipschitz Domains B Hu, DP Nicholls SIAM journal on mathematical analysis 37 (1), 302-320, 2005 | 54 | 2005 |
A field expansions method for scattering by periodic multilayered media A Malcolm, DP Nicholls The Journal of the Acoustical Society of America 129 (4), 1783-1793, 2011 | 51 | 2011 |
On analyticity of travelling water waves DP Nicholls, F Reitich Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2005 | 48 | 2005 |
A rigorous numerical analysis of the transformed field expansion method DP Nicholls, J Shen SIAM Journal on Numerical Analysis 47 (4), 2708-2734, 2009 | 46 | 2009 |
Joint analyticity and analytic continuation of Dirichlet–Neumann operators on doubly perturbed domains DP Nicholls, M Taber Journal of Mathematical Fluid Mechanics 10, 238-271, 2008 | 45 | 2008 |
Numerical simulation of solitary waves on plane slopes P Guyenne, DP Nicholls Mathematics and Computers in Simulation 69 (3-4), 269-281, 2005 | 45 | 2005 |
Synchrony dynamics across brain structures in limbic epilepsy vary between initiation and termination phases of seizures T Sobayo, AS Fine, E Gunnar, C Kazlauskas, D Nicholls, DJ Mogul IEEE Transactions on Biomedical Engineering 60 (3), 821-829, 2012 | 37 | 2012 |