Faculty

Institution

Unit

Venue

David Nicholls

Professor

University of Illinois Chicago

Affiliations

College of Liberal Arts and Sciences

Mathematics, Statistics, and Computer Science

David Nicholls is currently serving as a College Of Liberal Arts And Sciences Professor at University of Illinois Chicago.

Honors

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Experiences

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Education

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David Nicholls

University of Illinois Chicago

Professor

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applied mathematics applied physics numerical simulations scientific computing numerical analysis fluid dynamics wave nonlinearity computational science wave motion wave theory numerical mathematics nonlinear phenomena surface waves wave propagation mathematics surface science spectral theory numerical method for partial differential equation water waves high-order perturbation fluid flow boundary value problems perturbation methods fluid mechanics wave scattering oceanography dirichlet-neumann operators ocean sciences numerical algorithms nonlinear wave propagation mechanical engineering nonlinear science mathematical analysis plasmonics marine engineering vector electromagnetic scattering marine hydrodynamics hydrodynamic stability finite element methods optical engineering spectral stability computational fluid dynamics analytic number theory layered media field expansions environmental fluid mechanics ocean engineering dispersion science gravitational waves optical metrology surface modeling periodic travelling wave optic design surfaces method analytic continuation boundary perturbation methods tribology acoustical engineering computational models simulation modelling simulation methodology transient grating surface processing capillarity phenomenon chronobiology shape deformations rough-surface scattering high-order computation rigorous numerical analysis boundary perturbation method exterior scattering problems gravity field field methods brain science deep sea discrete dynamical systems numerical treatment

Notable Scholarly Works

Notable Federal Grants

Collaborators

A High-Order Perturbation Method for Analysing the Dirichlet-Neumann Operator for a Nonlinear Kerr Medium.. PubMed (2025)

physicsnonlinear kerr mediumdirichlet-neumann operatorboundary value problemswave nonlinearitynonlinear wave propagationnonlinear phenomenahigh-order perturbation methodapplied mathematicsnonlinear sciencenonlinear analysisspectral theorypartial differential equationsperturbation methodsdifferential equations

A High-Order Perturbation of Envelopes (Hope) Method for Vector Electromagnetic Scattering by Periodic Inhomogeneous Media: Joint Analyticity. SIAM Journal on Applied Mathematics (2025)

physicsvector electromagnetic scatteringelectromagnetic fieldsnumerical mathematicsboundary value problemsjoint analyticityhigh-frequency approximationmethod of fundamental solutioninverse scattering transformspartial differential equationselectromagnetic wavesapplied physicshigh-order perturbationwave scattering

Analyticity and Stable Computation of Dirichlet–Neumann Operators for Laplace's Equation Under Quasiperiodic Boundary Conditions in Two and Three Dimensions. Studies in Applied Mathematics (2025)

harmonic analysisquasiperiodic boundary conditionsstable computationoperator theoryfree boundary problemsboundary value problemselliptic equationsdirichlet–neumann operatorsspectral theorypartial differential equationsmathematicsapplied mathematics

High-Order Spectral Simulation of Dispersive Two-Dimensional Materials. Communications in Computational Physics (2025)

physicsoptical propertiesvibrational spectroscopynonlinear phenomenamultiscale modelinghigh-frequency approximationnumerical simulationsdispersion scienceapplied physicscomputational materials sciencedispersionwave scatteringhigh-order spectral simulation

A High–Order Perturbation of Envelopes (Hope) Method for Vector Electromagnetic Scattering by Periodic Inhomogeneous Media: Analytic Continuation. Journal of Differential Equations (2024)

David P. NichollsLiet Vo

vector electromagnetic scatteringperiodic inhomogeneous mediaanalytic continuationelectrical engineeringdifferential equationshigh-order perturbationperturbation methods

A Stable High-Order Perturbation of Surfaces/Asymptotic Waveform Evaluation Method for the Numerical Solution of Grating Scattering Problems. Journal of Scientific Computing (2024)

Matthew KehoeDavid P. Nicholls

scientific computingsurface wavesnumerical computationsurface sciencenumerical analysisstable high-order perturbationcomputational sciencenumerical simulationsapplied physicsperturbation methodsnumerical solutionnumerical method for partial differential equation

Building Epsilon Near Zero Materials From Layered Uniaxial Metamaterials. Optics Express (2024)

Stephen GrayYoungjoon HongDavid Nicholls

materials scienceuniaxial metamaterialsoptical materialsbuilding epsilonelectromagnetic metamaterialsmetamaterials

Joint Geometry/Frequency Analyticity of Fields Scattered by Periodic Layered Media. SIAM Journal on Mathematical Analysis (2023)

Matthew KehoeDavid P. Nicholls

electromagnetic fieldsmathematical analysisnumerical analysiselectromagnetic metamaterialsspectroscopyfrequency managementelectrical engineeringspectral theoryapplied mathematicsnumerical simulationsquantum field theoryfourier analysismathematics

A High–Order Spectral Algorithm for the Numerical Simulation of Layered Media With Uniaxial Hyperbolic Materials. Journal of Computational Physics (2022)

David P. Nicholls

scientific computingmaterials sciencehigh-order spectral algorithmlayered mediacomputational sciencenumerical simulationshyperbolic equationsmaterial simulationuniaxial hyperbolic materials

Data-Driven Design of Thin-Film Optical Systems Using Deep Active Learning. Optics Express (2022)

Youngjoon HongDavid P. Nicholls

thin filmsdata-driven designdeep active learningthin-film optical systemsoptic design

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David Nicholls

Professor

University of Illinois Chicago

Affiliations

College of Liberal Arts and Sciences

Mathematics, Statistics, and Computer Science

David Nicholls is currently serving as a College Of Liberal Arts And Sciences Professor at University of Illinois Chicago.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

David Nicholls

University of Illinois Chicago

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

A High-Order Perturbation Method for Analysing the Dirichlet-Neumann Operator for a Nonlinear Kerr Medium.. PubMed (2025)

A High-Order Perturbation of Envelopes (Hope) Method for Vector Electromagnetic Scattering by Periodic Inhomogeneous Media: Joint Analyticity. SIAM Journal on Applied Mathematics (2025)

Analyticity and Stable Computation of Dirichlet–Neumann Operators for Laplace's Equation Under Quasiperiodic Boundary Conditions in Two and Three Dimensions. Studies in Applied Mathematics (2025)

High-Order Spectral Simulation of Dispersive Two-Dimensional Materials. Communications in Computational Physics (2025)

A High–Order Perturbation of Envelopes (Hope) Method for Vector Electromagnetic Scattering by Periodic Inhomogeneous Media: Analytic Continuation. Journal of Differential Equations (2024)

David P. NichollsLiet Vo

vector electromagnetic scatteringperiodic inhomogeneous mediaanalytic continuationelectrical engineeringdifferential equationshigh-order perturbationperturbation methods

A Stable High-Order Perturbation of Surfaces/Asymptotic Waveform Evaluation Method for the Numerical Solution of Grating Scattering Problems. Journal of Scientific Computing (2024)

Matthew KehoeDavid P. Nicholls

Building Epsilon Near Zero Materials From Layered Uniaxial Metamaterials. Optics Express (2024)

Stephen GrayYoungjoon HongDavid Nicholls

materials scienceuniaxial metamaterialsoptical materialsbuilding epsilonelectromagnetic metamaterialsmetamaterials

Joint Geometry/Frequency Analyticity of Fields Scattered by Periodic Layered Media. SIAM Journal on Mathematical Analysis (2023)

Matthew KehoeDavid P. Nicholls

A High–Order Spectral Algorithm for the Numerical Simulation of Layered Media With Uniaxial Hyperbolic Materials. Journal of Computational Physics (2022)

David P. Nicholls

scientific computingmaterials sciencehigh-order spectral algorithmlayered mediacomputational sciencenumerical simulationshyperbolic equationsmaterial simulationuniaxial hyperbolic materials

Data-Driven Design of Thin-Film Optical Systems Using Deep Active Learning. Optics Express (2022)

Youngjoon HongDavid P. Nicholls

thin filmsdata-driven designdeep active learningthin-film optical systemsoptic design

1
2
3
4
5
14
10 / page

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Institution

University of Colorado Boulder

computational infrastructure

scientific computing

Moysey Brio

Institution

University of Arizona

computational science

applied mathematics

Tristan Buckmaster

Institution

New York University

hydrodynamic stability

fluid equations

Jeffrey Banks

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numerical method for partial differential equation

semi-implicit method

Ian Tice

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mathematical logic

Mohsen Razzaghi

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numerical analysis

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mathematical biology

mathematical biophysics

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nonlinear resonant optics

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