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David Nicholls
David Nicholls
Professor of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago
Bestätigte E-Mail-Adresse bei math.uic.edu
Titel
Zitiert von
Zitiert von
Jahr
Traveling two and three dimensional capillary gravity water waves
W Craig, DP Nicholls
SIAM Journal on Mathematical Analysis 32 (2), 323-359, 2000
2022000
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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