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David Nicholls
David Nicholls
Professor of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago
Verified email at math.uic.edu
Title
Cited by
Cited by
Year
Traveling two and three dimensional capillary gravity water waves
W Craig, DP Nicholls
SIAM Journal on Mathematical Analysis 32 (2), 323-359, 2000
2012000
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
1472005
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
1402001
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
1272001
Traveling gravity water waves in two and three dimensions
W Craig, DP Nicholls
European Journal of Mechanics-B/Fluids 21 (6), 615-641, 2002
1072002
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
1012008
Shape deformations in rough-surface scattering: improved algorithms
DP Nicholls, F Reitich
JOSA A 21 (4), 606-621, 2004
962004
Shape deformations in rough-surface scattering: cancellations, conditioning, and convergence
DP Nicholls, F Reitich
JOSA A 21 (4), 590-605, 2004
892004
Traveling water waves: spectral continuation methods with parallel implementation
DP Nicholls
Journal of Computational Physics 143 (1), 224-240, 1998
721998
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
622006
Exact non-reflecting boundary conditions on general domains
DP Nicholls, N Nigam
Journal of Computational physics 194 (1), 278-303, 2004
562004
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
552006
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
542007
Analyticity of Dirichlet--Neumann Operators on Hölder and Lipschitz Domains
B Hu, DP Nicholls
SIAM journal on mathematical analysis 37 (1), 302-320, 2005
542005
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
512011
On analyticity of travelling water waves
DP Nicholls, F Reitich
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2005
482005
A rigorous numerical analysis of the transformed field expansion method
DP Nicholls, J Shen
SIAM Journal on Numerical Analysis 47 (4), 2708-2734, 2009
462009
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
452008
Numerical simulation of solitary waves on plane slopes
P Guyenne, DP Nicholls
Mathematics and Computers in Simulation 69 (3-4), 269-281, 2005
452005
An efficient and stable spectral method for electromagnetic scattering from a layered periodic structure
Y He, DP Nicholls, J Shen
Journal of Computational Physics 231 (8), 3007-3022, 2012
362012
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