Faculty

Institution

Unit

Venue

Andrew J. Bernoff

Professor of Mathematics Emeritus

Harvey Mudd College

Affiliations

Harvey Mudd College

Department Of Mathematics

Andrew J. Bernoff is currently serving as a Mathematics Professor of Mathematics Emeritus at Harvey Mudd College.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Andrew J. Bernoff

Harvey Mudd College

Professor of Mathematics Emeritus

You can click a keyword to filter the displayed items

applied physics materials science applied mathematics thin films physics fluid dynamics dynamical systems mathematical biology pattern formation swarm intelligence numerical mathematics complex systems stability multiscale modeling behavioral ecology aerosol science boundary value problems swarm dynamic nonlinear dynamics insect science numerical simulations nonlinear phenomena mathematical bioscience theoretical biology complex dynamic systems dynamic networks multiscale analysis theoretical ecology particle technology ultrasonic atomization control optimization system science fluid flow thermal engineering avian biology dynamic process dynamic equilibrium collective motion flow physics diffusion process anomalous diffusion equilibrium problem networked swarm instrument science predator-prey interactions population balance modeling biophysical modeling agent-based models engineering mathematics nonlinear hyperbolic problem singularly perturbed problem perturbation methods wave motion mutualistic interactions interspecific behavioral interaction insect social behavior polymer technology surface modification nanostructured polymers acoustic modeling acoustical engineering swarm equilibria self-similar pinchoff axisymmetric surface diffusion locust dynamics self-similar solutions van der waals thin film rupture brownian particle structured spherical target multiple surface traps transient anomalous diffusion attractive-repulsive swarms asymptotic dynamics self-similar asymptotics nonlocal aggregation models

Notable Scholarly Works

Notable Federal Grants

Collaborators

Kinetic Monte Carlo Methods for Three-Dimensional Diffusive Capture Problems in Exterior Domains. Royal Society Open Science (2025)

scientific computingmonte carlo methodscomputational mathematicsnumerical algorithmsnumerical analysisnumerical mathematicsboundary value problemsexterior domainsmultiphysics problemsmonte carloapplied mathematicsinverse problemspartial differential equationsengineeringnumerical method for partial differential equation

Author Response for"Kinetic Monte Carlo Methods for Three-Dimensional Diffusive Capture Problems in Exterior Domains". (2024)

scientific computingauthor responsemonte carlo methodscomputational mathematicsnumerical algorithmsnumerical analysisnumerical mathematicsboundary value problemsexterior domainshigher dimensional problemspartial differential equationsmathematicsapplied mathematicsnumerical method for partial differential equation

Short Time Diffusive Fluxes Over Membrane Receptors Yields the Direction of a Signaling Source. bioRxiv (Cold Spring Harbor Laboratory) (2023)

Alan E. LindsayAndrew. J. BernoffAdrián Navarro Hernández

biophysicsmolecular biologymembrane receptorsmembrane biologyneuroscience

Single-Cell Directional Sensing From Just a Few Receptor Binding Events. Biophysical Journal (2023)

Andrew J. BernoffAlexandra JilkineAdrián Navarro HernándezAlan E. Lindsay

signal transductionbiophysicssingle-cell directional sensing

Agent-Based and Continuous Models of Hopper Bands for the Australian Plague Locust: How Resource Consumption Mediates Pulse Formation and Geometry. PLoS Computational Biology (2020)

Andrew J. BernoffMichael Culshaw-MaurerRebecca A. EverettMaryann E. HohnW. Christopher StricklandJasper Weinburd

continuous modelsenvironmental sciencemarine biologynumerical simulationscomputational biologyecologymathematical biosciencepulse formationresource consumptionpredator-prey interactionstheoretical ecologypopulation balance modelingquantitative biologymathematical biologyavian biologytheoretical biologybiophysical modelingstrategic studiesaustralian plague locustsystems biologydynamical systemshopper bandsagent-based models

Boundary Homogenization and Capture Time Distributions of Semipermeable Membranes With Periodic Patterns of Reactive Sites. Multiscale Modeling and Simulation (2018)

Andrew J. BernoffAlan E. LindsayDaniel D. Schmidt

reactive sitesboundary homogenizationmultiscale analysisthermal engineeringcapture time distributionsmultiscale modelingmodeling and simulationsemipermeable membranesperiodic patternsapplied mathematicsengineering

Numerical Approximation of Diffusive Capture Rates by Planar and Spherical Surfaces With Absorbing Pores. SIAM Journal on Applied Mathematics (2018)

numerical mathematicsnumerical analysistransport phenomenaspherical surfacesporous materialsdiffusionabsorbing poressurface modelingapplied mathematicsdiffusive capture ratesengineeringpore structure

First Passage Statistics for the Capture of a Brownian Particle by a Structured Spherical Target With Multiple Surface Traps. Multiscale Modeling and Simulation (2017)

Alan E. LindsayAndrew J. BernoffMichael J. Ward

brownian particlebiophysicsstructured spherical targetmultiscale analysismultiscale modelingmodeling and simulationnumerical simulationsapplied mathematicsapplied physicsmultiple surface traps

Biological Aggregation Driven by Social and Environmental Factors: A Nonlocal Model and Its Degenerate Cahn--Hilliard Approximation. SIAM Journal on Applied Dynamical Systems (2016)

mathematical biologybiological aggregation drivenhilliard approximationpopulation dynamicsenvironmental scienceecological applicationsdiffusionpattern formationmultiscale modelingpopulation biologycoexistenceecological networkstheoretical ecologynonlocal modelapplied mathematicstheoretical biologyecologymathematical bioscience

Energy-Driven Pattern Formation in Planar Dipole-Dipole Systems in the Presence of Weak Noise. Physical Review E (2015)

physicselectromagnetismplanar dipole-dipole systemsatomic physicsweak noiseenergy-driven pattern formationapplied physics

1
2
3
4
5
6
10 / page

Andrew J. Bernoff

Professor of Mathematics Emeritus

Harvey Mudd College

Affiliations

Harvey Mudd College

Department Of Mathematics

Andrew J. Bernoff is currently serving as a Mathematics Professor of Mathematics Emeritus at Harvey Mudd College.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Andrew J. Bernoff

Harvey Mudd College

Professor of Mathematics Emeritus

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Kinetic Monte Carlo Methods for Three-Dimensional Diffusive Capture Problems in Exterior Domains. Royal Society Open Science (2025)

Author Response for"Kinetic Monte Carlo Methods for Three-Dimensional Diffusive Capture Problems in Exterior Domains". (2024)

Short Time Diffusive Fluxes Over Membrane Receptors Yields the Direction of a Signaling Source. bioRxiv (Cold Spring Harbor Laboratory) (2023)

Alan E. LindsayAndrew. J. BernoffAdrián Navarro Hernández

biophysicsmolecular biologymembrane receptorsmembrane biologyneuroscience

Single-Cell Directional Sensing From Just a Few Receptor Binding Events. Biophysical Journal (2023)

Andrew J. BernoffAlexandra JilkineAdrián Navarro HernándezAlan E. Lindsay

signal transductionbiophysicssingle-cell directional sensing

Agent-Based and Continuous Models of Hopper Bands for the Australian Plague Locust: How Resource Consumption Mediates Pulse Formation and Geometry. PLoS Computational Biology (2020)

Andrew J. BernoffMichael Culshaw-MaurerRebecca A. EverettMaryann E. HohnW. Christopher StricklandJasper Weinburd

Boundary Homogenization and Capture Time Distributions of Semipermeable Membranes With Periodic Patterns of Reactive Sites. Multiscale Modeling and Simulation (2018)

Andrew J. BernoffAlan E. LindsayDaniel D. Schmidt

Numerical Approximation of Diffusive Capture Rates by Planar and Spherical Surfaces With Absorbing Pores. SIAM Journal on Applied Mathematics (2018)

numerical mathematicsnumerical analysistransport phenomenaspherical surfacesporous materialsdiffusionabsorbing poressurface modelingapplied mathematicsdiffusive capture ratesengineeringpore structure

First Passage Statistics for the Capture of a Brownian Particle by a Structured Spherical Target With Multiple Surface Traps. Multiscale Modeling and Simulation (2017)

Alan E. LindsayAndrew J. BernoffMichael J. Ward

brownian particlebiophysicsstructured spherical targetmultiscale analysismultiscale modelingmodeling and simulationnumerical simulationsapplied mathematicsapplied physicsmultiple surface traps

Biological Aggregation Driven by Social and Environmental Factors: A Nonlocal Model and Its Degenerate Cahn--Hilliard Approximation. SIAM Journal on Applied Dynamical Systems (2016)

Energy-Driven Pattern Formation in Planar Dipole-Dipole Systems in the Presence of Weak Noise. Physical Review E (2015)

physicselectromagnetismplanar dipole-dipole systemsatomic physicsweak noiseenergy-driven pattern formationapplied physics

1
2
3
4
5
6
10 / page