David P. Nicholls

According to our database1, David P. Nicholls authored at least 32 papers between 2000 and 2020.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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PhD thesis 
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Bibliography

2020
Sweeping Preconditioners for the Iterative Solution of Quasiperiodic Helmholtz Transmission Problems in Layered Media.
J. Sci. Comput., 2020

2019
Modal explicit filtering for large eddy simulation in discontinuous spectral element method.
J. Comput. Phys. X, 2019

2018
Numerical Simulation of Grating Structures Incorporating Two-Dimensional Materials: A High-Order Perturbation of Surfaces Framework.
SIAM J. Appl. Math., 2018

High-Order Perturbation of Surfaces Algorithms for the Simulation of Localized Surface Plasmon Resonances in Two Dimensions.
J. Sci. Comput., 2018

A high-order perturbation of surfaces method for vector electromagnetic scattering by doubly layered periodic crossed gratings.
J. Comput. Phys., 2018

2017
Numerical Solution of Diffraction Problems: A High-Order Perturbation of Surfaces and Asymptotic Waveform Evaluation Method.
SIAM J. Numer. Anal., 2017

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., 2017

A stable high-order perturbation of surfaces method for numerical simulation of diffraction problems in triply layered media.
J. Comput. Phys., 2017

2016
A Spectral Element Method with Transparent Boundary Condition for Periodic Layered Media Scattering.
J. Sci. Comput., 2016

A numerical study of the Whitham equation as a model for steady surface water waves.
J. Comput. Appl. Math., 2016

2014
An operator expansions method for computing Dirichlet-Neumann operators in linear elastodynamics.
J. Comput. Phys., 2014

Fokas integral equations for three dimensional layered-media scattering.
J. Comput. Phys., 2014

2012
Spectral Stability of Deep Two-Dimensional Gravity Water Waves: Repeated Eigenvalues.
SIAM J. Appl. Math., 2012

An efficient and stable spectral method for electromagnetic scattering from a layered periodic structure.
J. Comput. Phys., 2012

2011
Efficient enforcement of far-field boundary conditions in the Transformed Field Expansions method.
J. Comput. Phys., 2011

2010
Traveling Waves in Deep Water with Gravity and Surface Tension.
SIAM J. Appl. Math., 2010

A Boundary Perturbation Method for Vector Electromagnetic Scattering from Families of Doubly Periodic Gratings.
J. Sci. Comput., 2010

Numerical Simulation of a Weakly Nonlinear Model for Water Waves with Viscosity.
J. Sci. Comput., 2010

Stable computation of the functional variation of the Dirichlet-Neumann operator.
J. Comput. Phys., 2010

2009
A Rigorous Numerical Analysis of the Transformed Field Expansion Method.
SIAM J. Numer. Anal., 2009

A small dispersion limit to the Camassa-Holm equation: A numerical study.
Math. Comput. Simul., 2009

Exact Non-Reflecting Boundary Conditions on Perturbed Domains and <i>hp</i>-Finite Elements.
J. Sci. Comput., 2009

A rapid boundary perturbation algorithm for scattering by families of rough surfaces.
J. Comput. Phys., 2009

2007
A High-Order Spectral Method for Nonlinear Water Waves over Moving Bottom Topography.
SIAM J. Sci. Comput., 2007

Spectral Stability of Traveling Water Waves: Analytic Dependence of the Spectrum.
J. Nonlinear Sci., 2007

A stable, high-order method for three-dimensional, bounded-obstacle, acoustic scattering.
J. Comput. Phys., 2007

2006
A Stable High-Order Method for Two-Dimensional Bounded-Obstacle Scattering.
SIAM J. Sci. Comput., 2006

Error analysis of an enhanced DtN-FE method for exterior scattering problems.
Numerische Mathematik, 2006

2005
Analyticity of Dirichlet-Neumann Operators on Hölder and Lipschitz Domains.
SIAM J. Math. Anal., 2005

Numerical simulation of solitary waves on plane slopes.
Math. Comput. Simul., 2005

2003
Analytic continuation of Dirichlet-Neumann operators.
Numerische Mathematik, 2003

2000
Traveling Two and Three Dimensional Capillary Gravity Water Waves.
SIAM J. Math. Anal., 2000


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