David P. Nicholls

Publication Activity (10 Years)

Years Active: 2000-2024
Publications (10 Years): 16

Top Topics

Numerical Solution

Object Modeling

Tensor Decomposition

Top Venues

J. Comput. Phys.

J. Sci. Comput.

SIAM J. Numer. Anal.

Publications

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) (2024)
David P. Nicholls, Liet Vo
A High-Order Perturbation of Envelopes (HOPE) Method for Vector Electromagnetic Scattering by Periodic Inhomogeneous Media: Analytic Continuation. CoRR (2024)
David P. Nicholls, Liet Vo
A High-Order Perturbation of Envelopes (HOPE) Method for Vector Electromagnetic Scattering by Periodic Inhomogeneous Media. CoRR (2023)
David P. Nicholls
A high-order spectral algorithm for the numerical simulation of layered media with uniaxial hyperbolic materials. J. Comput. Phys. 453 (2022)
David P. Nicholls, Xin Tong
Simulation of Localized Surface Plasmon Resonances in Two Dimensions via Impedance-Impedance Operators. SIAM J. Appl. Math. 81 (3) (2021)
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) (2021)
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) (2020)
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 (2019)
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 (2018)
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) (2018)
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) (2018)
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 (2017)
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 (2017)
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) (2017)
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) (2016)
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 (2016)
Zheng Fang, David P. Nicholls
An operator expansions method for computing Dirichlet-Neumann operators in linear elastodynamics. J. Comput. Phys. 272 (2014)
David M. Ambrose, David P. Nicholls
Fokas integral equations for three dimensional layered-media scattering. J. Comput. Phys. 276 (2014)
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) (2013)
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) (2012)
Benjamin Akers, David P. Nicholls
Spectral Stability of Deep Two-Dimensional Gravity Water Waves: Repeated Eigenvalues. SIAM J. Appl. Math. 72 (2) (2012)
David P. Nicholls
Efficient enforcement of far-field boundary conditions in the Transformed Field Expansions method. J. Comput. Phys. 230 (22) (2011)
Carlo Fazioli, David P. Nicholls
Stable computation of the functional variation of the Dirichlet-Neumann operator. J. Comput. Phys. 229 (3) (2010)
Benjamin Akers, David P. Nicholls
Traveling Waves in Deep Water with Gravity and Surface Tension. SIAM J. Appl. Math. 70 (7) (2010)
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) (2010)
Maria Kakleas, David P. Nicholls
Numerical Simulation of a Weakly Nonlinear Model for Water Waves with Viscosity. J. Sci. Comput. 42 (2) (2010)
David P. Nicholls, Jie Shen
A Rigorous Numerical Analysis of the Transformed Field Expansion Method. SIAM J. Numer. Anal. 47 (4) (2009)
David P. Nicholls
A rapid boundary perturbation algorithm for scattering by families of rough surfaces. J. Comput. Phys. 228 (9) (2009)
Jennifer Gorsky, David P. Nicholls
A small dispersion limit to the Camassa-Holm equation: A numerical study. Math. Comput. Simul. 80 (1) (2009)
Tommy L. Binford, David P. Nicholls, Nilima Nigam, Tim Warburton
-Finite Elements. J. Sci. Comput. 39 (2) (2009)
Qirong Fang, David P. Nicholls, Jie Shen
A stable, high-order method for three-dimensional, bounded-obstacle, acoustic scattering. J. Comput. Phys. 224 (2) (2007)
Philippe Guyenne, David P. Nicholls
A High-Order Spectral Method for Nonlinear Water Waves over Moving Bottom Topography. SIAM J. Sci. Comput. 30 (1) (2007)
David P. Nicholls
Spectral Stability of Traveling Water Waves: Analytic Dependence of the Spectrum. J. Nonlinear Sci. 17 (4) (2007)
David P. Nicholls, Nilima Nigam
Error analysis of an enhanced DtN-FE method for exterior scattering problems. Numerische Mathematik 105 (2) (2006)
David P. Nicholls, Jie Shen
A Stable High-Order Method for Two-Dimensional Bounded-Obstacle Scattering. SIAM J. Sci. Comput. 28 (4) (2006)
Bei Hu, David P. Nicholls
Analyticity of Dirichlet-Neumann Operators on Hölder and Lipschitz Domains. SIAM J. Math. Anal. 37 (1) (2005)
Philippe Guyenne, David P. Nicholls
Numerical simulation of solitary waves on plane slopes. Math. Comput. Simul. 69 (3-4) (2005)
David P. Nicholls, Fernando Reitich
Analytic continuation of Dirichlet-Neumann operators. Numerische Mathematik 94 (1) (2003)
Walter Craig, David P. Nicholls
Traveling Two and Three Dimensional Capillary Gravity Water Waves. SIAM J. Math. Anal. 32 (2) (2000)