David P. Nicholls

41 papers Journal 41

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	A High-Order Perturbation of Envelopes (HOPE) Method for Vector Electromagnetic Scattering by Periodic Inhomogeneous Media: Joint Analyticity. SIAM J. Appl. Math. David P. Nicholls, Liet Vo
2024	J	`jnl`	A High-Order Perturbation of Envelopes (HOPE) Method for Vector Electromagnetic Scattering by Periodic Inhomogeneous Media: Analytic Continuation. CoRR David P. Nicholls, Liet Vo
2024	J	`jnl`	A Stable High-Order Perturbation of Surfaces/Asymptotic Waveform Evaluation Method for the Numerical Solution of Grating Scattering Problems. J. Sci. Comput. Matthew Kehoe, David P. Nicholls
2024	J	`jnl`	Analyticity and Stable Computation of Dirichlet-Neumann Operators for Laplace's Equation under Quasiperiodic Boundary Conditions in Two and Three Dimensions. CoRR David P. Nicholls, Jon Wilkening, Xinyu Zhao
2023	J	`jnl`	A High-Order Perturbation of Envelopes (HOPE) Method for Vector Electromagnetic Scattering by Periodic Inhomogeneous Media. CoRR David P. Nicholls, Liet Vo
2022	J	`jnl`	A high-order spectral algorithm for the numerical simulation of layered media with uniaxial hyperbolic materials. J. Comput. Phys. David P. Nicholls
2021	J	`jnl`	A Rigorous Numerical Analysis of the Transformed Field Expansion Method for Diffraction by Periodic, Layered Structures. SIAM J. Numer. Anal. Youngjoon Hong, David P. Nicholls
2021	J	`jnl`	Simulation of Localized Surface Plasmon Resonances in Two Dimensions via Impedance-Impedance Operators. SIAM J. Appl. Math. David P. Nicholls, Xin Tong
2020	J	`jnl`	Sweeping Preconditioners for the Iterative Solution of Quasiperiodic Helmholtz Transmission Problems in Layered Media. J. Sci. Comput. David P. Nicholls, Carlos Pérez-Arancibia, Catalin Turc
2019	J	`jnl`	Modal explicit filtering for large eddy simulation in discontinuous spectral element method. J. Comput. Phys. X Zia Ghiasi, Jonathan Komperda, Dongru Li, Ahmad Peyvan, David P. Nicholls, Farzad Mashayek
2018	J	`jnl`	A high-order perturbation of surfaces method for vector electromagnetic scattering by doubly layered periodic crossed gratings. J. Comput. Phys. Youngjoon Hong, David P. Nicholls
2018	J	`jnl`	High-Order Perturbation of Surfaces Algorithms for the Simulation of Localized Surface Plasmon Resonances in Two Dimensions. J. Sci. Comput. David P. Nicholls, Xin Tong
2018	J	`jnl`	Numerical Simulation of Grating Structures Incorporating Two-Dimensional Materials: A High-Order Perturbation of Surfaces Framework. SIAM J. Appl. Math. David P. Nicholls
2017	J	`jnl`	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. Youngjoon Hong, David P. Nicholls
2017	J	`jnl`	A stable high-order perturbation of surfaces method for numerical simulation of diffraction problems in triply layered media. J. Comput. Phys. Youngjoon Hong, David P. Nicholls
2017	J	`jnl`	Numerical Solution of Diffraction Problems: A High-Order Perturbation of Surfaces and Asymptotic Waveform Evaluation Method. SIAM J. Numer. Anal. David P. Nicholls
2016	J	`jnl`	A Spectral Element Method with Transparent Boundary Condition for Periodic Layered Media Scattering. J. Sci. Comput. Ying He, Misun Min, David P. Nicholls
2016	J	`jnl`	A numerical study of the Whitham equation as a model for steady surface water waves. J. Comput. Appl. Math. Handan Borluk, Henrik Kalisch, David P. Nicholls
2014	J	`jnl`	An operator expansions method for computing Dirichlet-Neumann operators in linear elastodynamics. J. Comput. Phys. Zheng Fang, David P. Nicholls
2014	J	`jnl`	Fokas integral equations for three dimensional layered-media scattering. J. Comput. Phys. David M. Ambrose, David P. Nicholls
2013	J	`jnl`	Synchrony Dynamics Across Brain Structures in Limbic Epilepsy Vary Between Initiation and Termination Phases of Seizures. IEEE Trans. Biomed. Eng. Tiwalade Sobayo, Ananda S. Fine, Elizabeth Gunnar, Christine Kazlauskas, David P. Nicholls, David J. Mogul
2012	J	`jnl`	An efficient and stable spectral method for electromagnetic scattering from a layered periodic structure. J. Comput. Phys. Ying He, David P. Nicholls, Jie Shen
2012	J	`jnl`	Spectral Stability of Deep Two-Dimensional Gravity Water Waves: Repeated Eigenvalues. SIAM J. Appl. Math. Benjamin Akers, David P. Nicholls
2011	J	`jnl`	Efficient enforcement of far-field boundary conditions in the Transformed Field Expansions method. J. Comput. Phys. David P. Nicholls
2010	J	`jnl`	A Boundary Perturbation Method for Vector Electromagnetic Scattering from Families of Doubly Periodic Gratings. J. Sci. Comput. David P. Nicholls, Joseph Orville
2010	J	`jnl`	Numerical Simulation of a Weakly Nonlinear Model for Water Waves with Viscosity. J. Sci. Comput. Maria Kakleas, David P. Nicholls
2010	J	`jnl`	Stable computation of the functional variation of the Dirichlet-Neumann operator. J. Comput. Phys. Carlo Fazioli, David P. Nicholls
2010	J	`jnl`	Traveling Waves in Deep Water with Gravity and Surface Tension. SIAM J. Appl. Math. Benjamin Akers, David P. Nicholls
2009	J	`jnl`	A Rigorous Numerical Analysis of the Transformed Field Expansion Method. SIAM J. Numer. Anal. David P. Nicholls, Jie Shen
2009	J	`jnl`	A rapid boundary perturbation algorithm for scattering by families of rough surfaces. J. Comput. Phys. David P. Nicholls
2009	J	`jnl`	A small dispersion limit to the Camassa-Holm equation: A numerical study. Math. Comput. Simul. Jennifer Gorsky, David P. Nicholls
2009	J	`jnl`	Exact Non-Reflecting Boundary Conditions on Perturbed Domains and J. Sci. Comput. Tommy L. Binford, David P. Nicholls, Nilima Nigam, Tim Warburton
2007	J	`jnl`	A High-Order Spectral Method for Nonlinear Water Waves over Moving Bottom Topography. SIAM J. Sci. Comput. Philippe Guyenne, David P. Nicholls
2007	J	`jnl`	A stable, high-order method for three-dimensional, bounded-obstacle, acoustic scattering. J. Comput. Phys. Qirong Fang, David P. Nicholls, Jie Shen
2007	J	`jnl`	Spectral Stability of Traveling Water Waves: Analytic Dependence of the Spectrum. J. Nonlinear Sci. David P. Nicholls
2006	J	`jnl`	A Stable High-Order Method for Two-Dimensional Bounded-Obstacle Scattering. SIAM J. Sci. Comput. David P. Nicholls, Jie Shen
2006	J	`jnl`	Error analysis of an enhanced DtN-FE method for exterior scattering problems. Numerische Mathematik David P. Nicholls, Nilima Nigam
2005	J	`jnl`	Analyticity of Dirichlet-Neumann Operators on Hölder and Lipschitz Domains. SIAM J. Math. Anal. Bei Hu, David P. Nicholls
2005	J	`jnl`	Numerical simulation of solitary waves on plane slopes. Math. Comput. Simul. Philippe Guyenne, David P. Nicholls
2003	J	`jnl`	Analytic continuation of Dirichlet-Neumann operators. Numerische Mathematik David P. Nicholls, Fernando Reitich
2000	J	`jnl`	Traveling Two and Three Dimensional Capillary Gravity Water Waves. SIAM J. Math. Anal. Walter Craig, David P. Nicholls