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ORCIDDavid P. Nicholls
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2020 – today
- 2024
[j37]Matthew Kehoe
, David P. Nicholls:
A Stable High-Order Perturbation of Surfaces/Asymptotic Waveform Evaluation Method for the Numerical Solution of Grating Scattering Problems. J. Sci. Comput. 100(1): 9 (2024)- [i3]David P. Nicholls, Liet Vo:
A High-Order Perturbation of Envelopes (HOPE) Method for Vector Electromagnetic Scattering by Periodic Inhomogeneous Media: Analytic Continuation. CoRR abs/2407.03351 (2024) - [i2]David P. Nicholls, Jon Wilkening, Xinyu Zhao:
Analyticity and Stable Computation of Dirichlet-Neumann Operators for Laplace's Equation under Quasiperiodic Boundary Conditions in Two and Three Dimensions. CoRR abs/2410.19296 (2024) - 2023
- [i1]David P. Nicholls, Liet Vo:
A High-Order Perturbation of Envelopes (HOPE) Method for Vector Electromagnetic Scattering by Periodic Inhomogeneous Media. CoRR abs/2307.15152 (2023) - 2022
- [j36]David P. Nicholls:
A high-order spectral algorithm for the numerical simulation of layered media with uniaxial hyperbolic materials. J. Comput. Phys. 453: 110961 (2022) - 2021
- [j35]David P. Nicholls, Xin Tong:
Simulation of Localized Surface Plasmon Resonances in Two Dimensions via Impedance-Impedance Operators. SIAM J. Appl. Math. 81(3): 871-896 (2021) - [j34]Youngjoon Hong, David P. Nicholls:
A Rigorous Numerical Analysis of the Transformed Field Expansion Method for Diffraction by Periodic, Layered Structures. SIAM J. Numer. Anal. 59(1): 456-476 (2021) - 2020
- [j33]David P. Nicholls, Carlos Pérez-Arancibia, Catalin Turc:
Sweeping Preconditioners for the Iterative Solution of Quasiperiodic Helmholtz Transmission Problems in Layered Media. J. Sci. Comput. 82(2): 44 (2020)
2010 – 2019
- 2019
- [j32]Zia Ghiasi, Jonathan Komperda, Dongru Li, Ahmad Peyvan, David P. Nicholls, Farzad Mashayek:
Modal explicit filtering for large eddy simulation in discontinuous spectral element method. J. Comput. Phys. X 3: 100024 (2019) - 2018
- [j31]Youngjoon Hong, David P. Nicholls:
A high-order perturbation of surfaces method for vector electromagnetic scattering by doubly layered periodic crossed gratings. J. Comput. Phys. 372: 748-772 (2018) - [j30]David P. Nicholls, Xin Tong:
High-Order Perturbation of Surfaces Algorithms for the Simulation of Localized Surface Plasmon Resonances in Two Dimensions. J. Sci. Comput. 76(3): 1370-1395 (2018) - [j29]David P. Nicholls:
Numerical Simulation of Grating Structures Incorporating Two-Dimensional Materials: A High-Order Perturbation of Surfaces Framework. SIAM J. Appl. Math. 78(1): 19-44 (2018) - 2017
- [j28]Youngjoon Hong, David P. Nicholls:
A stable high-order perturbation of surfaces method for numerical simulation of diffraction problems in triply layered media. J. Comput. Phys. 330: 1043-1068 (2017) - [j27]Youngjoon Hong, David P. Nicholls:
A high-order perturbation of surfaces method for scattering of linear waves by periodic multiply layered gratings in two and three dimensions. J. Comput. Phys. 345: 162-188 (2017) - [j26]David P. Nicholls:
Numerical Solution of Diffraction Problems: A High-Order Perturbation of Surfaces and Asymptotic Waveform Evaluation Method. SIAM J. Numer. Anal. 55(1): 144-167 (2017) - 2016
- [j25]Handan Borluk, Henrik Kalisch, David P. Nicholls:
A numerical study of the Whitham equation as a model for steady surface water waves. J. Comput. Appl. Math. 296: 293-302 (2016) - [j24]Ying He, Misun Min, David P. Nicholls:
A Spectral Element Method with Transparent Boundary Condition for Periodic Layered Media Scattering. J. Sci. Comput. 68(2): 772-802 (2016) - 2014
- [j23]Zheng Fang, David P. Nicholls:
An operator expansions method for computing Dirichlet-Neumann operators in linear elastodynamics. J. Comput. Phys. 272: 266-278 (2014) - [j22]David M. Ambrose, David P. Nicholls:
Fokas integral equations for three dimensional layered-media scattering. J. Comput. Phys. 276: 1-25 (2014) - 2013
- [j21]Tiwalade Sobayo, Ananda S. Fine, Elizabeth Gunnar, Christine Kazlauskas, David P. Nicholls, David J. Mogul:
Synchrony Dynamics Across Brain Structures in Limbic Epilepsy Vary Between Initiation and Termination Phases of Seizures. IEEE Trans. Biomed. Eng. 60(3): 821-829 (2013) - 2012
- [j20]Ying He, David P. Nicholls, Jie Shen:
An efficient and stable spectral method for electromagnetic scattering from a layered periodic structure. J. Comput. Phys. 231(8): 3007-3022 (2012) - [j19]Benjamin Akers, David P. Nicholls:
Spectral Stability of Deep Two-Dimensional Gravity Water Waves: Repeated Eigenvalues. SIAM J. Appl. Math. 72(2): 689-711 (2012) - 2011
- [j18]David P. Nicholls:
Efficient enforcement of far-field boundary conditions in the Transformed Field Expansions method. J. Comput. Phys. 230(22): 8290-8303 (2011) - 2010
- [j17]Carlo Fazioli, David P. Nicholls:
Stable computation of the functional variation of the Dirichlet-Neumann operator. J. Comput. Phys. 229(3): 906-920 (2010) - [j16]Maria Kakleas, David P. Nicholls:
Numerical Simulation of a Weakly Nonlinear Model for Water Waves with Viscosity. J. Sci. Comput. 42(2): 274-290 (2010) - [j15]David P. Nicholls, Joseph Orville:
A Boundary Perturbation Method for Vector Electromagnetic Scattering from Families of Doubly Periodic Gratings. J. Sci. Comput. 45(1-3): 471-486 (2010) - [j14]Benjamin Akers, David P. Nicholls:
Traveling Waves in Deep Water with Gravity and Surface Tension. SIAM J. Appl. Math. 70(7): 2373-2389 (2010)
2000 – 2009
- 2009
- [j13]David P. Nicholls:
A rapid boundary perturbation algorithm for scattering by families of rough surfaces. J. Comput. Phys. 228(9): 3405-3420 (2009) - [j12]Tommy L. Binford, David P. Nicholls, Nilima Nigam, Tim Warburton:
Exact Non-Reflecting Boundary Conditions on Perturbed Domains and hp-Finite Elements. J. Sci. Comput. 39(2): 265-292 (2009) - [j11]Jennifer Gorsky, David P. Nicholls:
A small dispersion limit to the Camassa-Holm equation: A numerical study. Math. Comput. Simul. 80(1): 120-130 (2009) - [j10]David P. Nicholls, Jie Shen:
A Rigorous Numerical Analysis of the Transformed Field Expansion Method. SIAM J. Numer. Anal. 47(4): 2708-2734 (2009) - 2007
- [j9]Qirong Fang, David P. Nicholls, Jie Shen:
A stable, high-order method for three-dimensional, bounded-obstacle, acoustic scattering. J. Comput. Phys. 224(2): 1145-1169 (2007) - [j8]David P. Nicholls:
Spectral Stability of Traveling Water Waves: Analytic Dependence of the Spectrum. J. Nonlinear Sci. 17(4): 369-397 (2007) - [j7]Philippe Guyenne, David P. Nicholls:
A High-Order Spectral Method for Nonlinear Water Waves over Moving Bottom Topography. SIAM J. Sci. Comput. 30(1): 81-101 (2007) - 2006
- [j6]David P. Nicholls, Nilima Nigam:
Error analysis of an enhanced DtN-FE method for exterior scattering problems. Numerische Mathematik 105(2): 267 (2006) - [j5]David P. Nicholls, Jie Shen:
A Stable High-Order Method for Two-Dimensional Bounded-Obstacle Scattering. SIAM J. Sci. Comput. 28(4): 1398-1419 (2006) - 2005
- [j4]Philippe Guyenne, David P. Nicholls:
Numerical simulation of solitary waves on plane slopes. Math. Comput. Simul. 69(3-4): 269-281 (2005) - [j3]Bei Hu, David P. Nicholls:
Analyticity of Dirichlet-Neumann Operators on Hölder and Lipschitz Domains. SIAM J. Math. Anal. 37(1): 302-320 (2005) - 2003
- [j2]David P. Nicholls, Fernando Reitich:
Analytic continuation of Dirichlet-Neumann operators. Numerische Mathematik 94(1): 107-146 (2003) - 2000
- [j1]Walter Craig, David P. Nicholls:
Traveling Two and Three Dimensional Capillary Gravity Water Waves. SIAM J. Math. Anal. 32(2): 323-359 (2000)
Coauthor Index
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