David P. Nicholls

J. Sci. Comput., July, 2024

Analyticity and Stable Computation of Dirichlet-Neumann Operators for Laplace's Equation under Quasiperiodic Boundary Conditions in Two and Three Dimensions.

[BibT_eX]

[DOI]

,

Jon Wilkening

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Xinyu Zhao

CoRR, 2024

A High-Order Perturbation of Envelopes (HOPE) Method for Vector Electromagnetic Scattering by Periodic Inhomogeneous Media: Analytic Continuation.

[BibT_eX]

[DOI]

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Liet Vo

CoRR, 2024

A High-Order Perturbation of Envelopes (HOPE) Method for Vector Electromagnetic Scattering by Periodic Inhomogeneous Media.

[BibT_eX]

[DOI]

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Liet Vo

CoRR, 2023

A high-order spectral algorithm for the numerical simulation of layered media with uniaxial hyperbolic materials.

[BibT_eX]

[DOI]

J. Comput. Phys., 2022

A Rigorous Numerical Analysis of the Transformed Field Expansion Method for Diffraction by Periodic, Layered Structures.

[BibT_eX]

[DOI]

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SIAM J. Numer. Anal., 2021

Simulation of Localized Surface Plasmon Resonances in Two Dimensions via Impedance-Impedance Operators.

[BibT_eX]

[DOI]

,

Xin Tong

SIAM J. Appl. Math., 2021

Sweeping Preconditioners for the Iterative Solution of Quasiperiodic Helmholtz Transmission Problems in Layered Media.

[BibT_eX]

[DOI]

,

Carlos Pérez-Arancibia

,

Catalin Turc

J. Sci. Comput., 2020

Modal explicit filtering for large eddy simulation in discontinuous spectral element method.

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[DOI]

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J. Comput. Phys. X, 2019

Numerical Simulation of Grating Structures Incorporating Two-Dimensional Materials: A High-Order Perturbation of Surfaces Framework.

[BibT_eX]

[DOI]

SIAM J. Appl. Math., 2018

High-Order Perturbation of Surfaces Algorithms for the Simulation of Localized Surface Plasmon Resonances in Two Dimensions.

[BibT_eX]

[DOI]

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Xin Tong

J. Sci. Comput., 2018

A high-order perturbation of surfaces method for vector electromagnetic scattering by doubly layered periodic crossed gratings.

[BibT_eX]

[DOI]

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J. Comput. Phys., 2018

Numerical Solution of Diffraction Problems: A High-Order Perturbation of Surfaces and Asymptotic Waveform Evaluation Method.

[BibT_eX]

[DOI]

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.

[BibT_eX]

[DOI]

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J. Comput. Phys., 2017

A stable high-order perturbation of surfaces method for numerical simulation of diffraction problems in triply layered media.

[BibT_eX]

[DOI]

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J. Comput. Phys., 2017

A Spectral Element Method with Transparent Boundary Condition for Periodic Layered Media Scattering.

[BibT_eX]

[DOI]

Ying He

,

Misun Min

,

J. Sci. Comput., 2016

A numerical study of the Whitham equation as a model for steady surface water waves.

[BibT_eX]

[DOI]

Handan Borluk

,

Henrik Kalisch

,

J. Comput. Appl. Math., 2016

An operator expansions method for computing Dirichlet-Neumann operators in linear elastodynamics.

[BibT_eX]

[DOI]

Zheng Fang

,

J. Comput. Phys., 2014

Fokas integral equations for three dimensional layered-media scattering.

[BibT_eX]

[DOI]

David M. Ambrose

,

J. Comput. Phys., 2014

Synchrony Dynamics Across Brain Structures in Limbic Epilepsy Vary Between Initiation and Termination Phases of Seizures.

[BibT_eX]

[DOI]

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IEEE Trans. Biomed. Eng., 2013

Spectral Stability of Deep Two-Dimensional Gravity Water Waves: Repeated Eigenvalues.

[BibT_eX]

[DOI]

Benjamin Akers

,

SIAM J. Appl. Math., 2012

An efficient and stable spectral method for electromagnetic scattering from a layered periodic structure.

[BibT_eX]

[DOI]

Ying He

,

,

J. Comput. Phys., 2012

Efficient enforcement of far-field boundary conditions in the Transformed Field Expansions method.

[BibT_eX]

[DOI]

J. Comput. Phys., 2011

Traveling Waves in Deep Water with Gravity and Surface Tension.

[BibT_eX]

[DOI]

Benjamin Akers

,

SIAM J. Appl. Math., 2010

A Boundary Perturbation Method for Vector Electromagnetic Scattering from Families of Doubly Periodic Gratings.

[BibT_eX]

[DOI]

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Joseph Orville

J. Sci. Comput., 2010

Numerical Simulation of a Weakly Nonlinear Model for Water Waves with Viscosity.

[BibT_eX]

[DOI]

Maria Kakleas

,

J. Sci. Comput., 2010

Stable computation of the functional variation of the Dirichlet-Neumann operator.

[BibT_eX]

[DOI]

Carlo Fazioli

,

J. Comput. Phys., 2010

A Rigorous Numerical Analysis of the Transformed Field Expansion Method.

[BibT_eX]

[DOI]

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SIAM J. Numer. Anal., 2009

A small dispersion limit to the Camassa-Holm equation: A numerical study.

[BibT_eX]

[DOI]

Jennifer Gorsky

,

Math. Comput. Simul., 2009

Exact Non-Reflecting Boundary Conditions on Perturbed Domains and <i>hp</i>-Finite Elements.

[BibT_eX]

[DOI]

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J. Sci. Comput., 2009

A rapid boundary perturbation algorithm for scattering by families of rough surfaces.

[BibT_eX]

[DOI]

J. Comput. Phys., 2009

A High-Order Spectral Method for Nonlinear Water Waves over Moving Bottom Topography.

[BibT_eX]

[DOI]

Philippe Guyenne

,

SIAM J. Sci. Comput., 2007

Spectral Stability of Traveling Water Waves: Analytic Dependence of the Spectrum.

[BibT_eX]

[DOI]

J. Nonlinear Sci., 2007

A stable, high-order method for three-dimensional, bounded-obstacle, acoustic scattering.

[BibT_eX]

[DOI]

Qirong Fang

,

,

J. Comput. Phys., 2007

A Stable High-Order Method for Two-Dimensional Bounded-Obstacle Scattering.

[BibT_eX]

[DOI]

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SIAM J. Sci. Comput., 2006

Error analysis of an enhanced DtN-FE method for exterior scattering problems.

[BibT_eX]

[DOI]

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Nilima Nigam

Numerische Mathematik, 2006

Analyticity of Dirichlet-Neumann Operators on Hölder and Lipschitz Domains.

[BibT_eX]

[DOI]

Bei Hu

,

SIAM J. Math. Anal., 2005

Numerical simulation of solitary waves on plane slopes.

[BibT_eX]

[DOI]

Philippe Guyenne

,

Math. Comput. Simul., 2005

Analytic continuation of Dirichlet-Neumann operators.

[BibT_eX]

[DOI]

,

Fernando Reitich

Numerische Mathematik, 2003

Traveling Two and Three Dimensional Capillary Gravity Water Waves.

[BibT_eX]

[DOI]

Walter Craig

,