Faculty

Institution

Unit

Venue

Gregor Kovacic

Professor

Rensselaer Polytechnic Institute

Affiliations

School of Science

Mathematical Sciences Department

Office for Research

Center for Computational Innovations

Darrin Fresh Water Institute

Scientific Computation Research Center

Gregor Kovacic is currently serving as a Mathematical Sciences Professor at Rensselaer Polytechnic Institute.

Honors

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Experiences

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Education

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Gregor Kovacic

Rensselaer Polytechnic Institute

Professor

You can click a keyword to filter the displayed items

nonlinear phenomena applied mathematics nonlinear dynamics nonlinear science physics dynamical systems nonlinear systems nonlinear analysis neuroscience neuronal networks mathematics computational neuroscience neural computation neurodynamics nonlinear wave propagation neural circuits partial differential equations light science neurons systems neuroscience brain modeling lightwave technology nonlinear resonance statistical mechanics spectral theory numerical simulations brain circuitry wave theory numerical method for partial differential equation wave optics boundary value problems method of fundamental solution statistical physics theoretical biology numerical mathematics hamiltonian system integrable systems chaos theory inverse scattering transforms network dynamics wave turbulence visual science image representation hamiltonian theory compressive sensing bifurcation theory boundary element methods quantum chaos optical physics homoclinic orbits material interfaces entropy high-frequency approximation semi-implicit method wave propagation geometric singular perturbation theory nonlinear oscillations polariton dynamic chaotic mixing resonance band high-order accurate scheme riemann-hilbert problem oscillation theory neural mechanisms optical switching sine-gordon equation primary visual cortex pyramidal cells maxwell-bloch systems melnikov method scattering eigenfunctions inverse problem nonzero boundary conditions jost eigenfunctions analytic eigenfunctions auxiliary eigenfunctions optical properties wave nonlinearity optical materials dispersive waves nonlinear evolution equations applied physics photonics

Notable Scholarly Works

Notable Federal Grants

Collaborators

On the Coupled Maxwell–Bloch System of Equations With Nondecaying Fields at Infinity. Studies in Applied Mathematics (2025)

Sitai LiGino BiondiniGregor Kovačič

wave scatteringcoupled maxwell–bloch systemlight scatteringlight sciencephotonicsapplied mathematicsoptical propertieswave opticsinverse scattering transformsquantum opticslossless propagationapplied physicsnonlinear sciencephysicscoupled maxwell–bloch equationsnonlinear phenomenaspectral theorywave nonlinearity

On Maxwell-Bloch Systems With Inhomogeneous Broadening and One-Sided Nonzero Background. Communications in Mathematical Physics (2024)

Asela AbeyaGino BiondiniGregor KovačičBarbara Prinari

mathematical physicsboundary value problemstopological heterostructuresfree boundary problemsdisordered quantum systemmaxwell-bloch systemsapplied physicsphysicselectromagnetismspectral theory

On the Coupled Maxwell-Bloch System of Equations With Non-Decaying Fields at Infinity. arXiv (Cornell University) (2024)

Li, SitaiBiondini, GinoKovacic, Gregor

wave scatteringlax pairlight scatteringlight sciencephotonicsapplied mathematicselectromagnetic fieldsoptical propertieswave opticsinverse scattering transformsapplied physicsnonlinear sciencephysicsmaxwell-bloch systemnonlinear phenomenaspectral theory

Direct Verification of the Kinetic Description of Wave Turbulence for Finite-Size Systems Dominated by Interactions Among Groups of Six Waves. Physical Review Letters (2022)

J. W. BanksT. BuckmasterA. O. KorotkevichG. KovačičJ. Shatah

direct verificationwave turbulence theorystatistical mechanicswave theorywave groupwave nonlinearitymathematical physicsfluid mechanicsstatistical physicsnonlinear dynamicsnonlinear phenomenawave turbulencenonlinear wave propagationnonlinear sciencephysicsnonlinear analysiswave motionfluid dynamicsnonlinear systemsapplied mathematicsdynamical systems

High-Order Accurate Schemes for Maxwell's Equations With Nonlinear Active Media and Material Interfaces. Journal of Computational Physics (2022)

Qing XiaJeffrey W. BanksWilliam D. HenshawAlexander V. KildishevGregor KovačičLudmila J. ProkopevaDonald W. Schwendeman

material interfacesnumerical simulationsnumerical analysisnumerical method for partial differential equationboundary element methodsnonlinear phenomenanonlinear active mediahigh-frequency approximationnumerical mathematicssemi-implicit methodelectromagnetismnonlinear analysiscomputational electromagneticsapplied mathematicsmethod of fundamental solutionpartial differential equationshigh-order accurate schemesapplied physicsboundary value problems

Improved Effective Linearization of Nonlinear SchröDinger Waves by Increasing Nonlinearity. Physical Review Research (2022)

Katelyn Plaisier LeismanDouglas ZhouJ. W. BanksGregor KovačičDavid Cai

effective linearizationmathematical physicsnonlinear systemsnonlinear wave propagationnonlinear schrödinger waveswave mechanicscoupling decaysdynamical systemsapplied physicsnonlinear dynamicsnonlinear sciencephysicsnonlinear phenomenawave theorywave nonlinearitynonlinear analysis

Direct Verification of the Kinetic Description of Wave Turbulence. arXiv (Cornell University) (2021)

J.W. BanksT. BuckmasterA.O. KorotkevichG. KovačičJ. Shatah

direct verificationwave turbulence theorywave theorywave groupwave nonlinearityfluid mechanicsnonlinear dynamicsnonlinear phenomenawave turbulencenonlinear wave propagationnonlinear sciencephysicsnonlinear analysisturbulence modelingfluid dynamicswave motionnonlinear systemsapplied mathematicsdynamical systems

High-Order Accurate Schemes for Maxwell-Bloch Equations With Material Interfaces. 2021 International Applied Computational Electromagnetics Society Symposium (ACES) (2021)

Qing XiaJeffrey W. BanksWilliam D. HenshawAlexander V. KildishevGregor KovacicLudmila J. ProkopevaDonald W. Schwendeman

material interfacescomputational electromagneticsnumerical analysisscientific computingmethod of fundamental solutionoptical propertiesnumerical mathematicsmaxwell-bloch equationsapplied physicsphysicsnumerical method for partial differential equationcartesian gridsnumerical simulations

Network Mechanism for Insect Olfaction. Cognitive Neurodynamics (2021)

Pamela B. PyzzaKatherine A. NewhallGregor KovačičDouglas ZhouDavid Cai

network sciencenetwork mechanisminsect molecular biologyinsect sciencebiologybiosystemsinsect social behavior

A Computational Investigation of Electrotonic Coupling Between Pyramidal Cells in the Cortex. Journal of Computational Neuroscience (2020)

Jennifer CrodelleDouglas ZhouGregor KovačičDavid Cai

biophysicssystems neurosciencebrain circuitryneuronsneuronal networksbio-inspired computationpyramidal cellsneuroscienceneurodynamicsbrain modelingtheoretical biologycomputational neurosciencecomputational investigationneural circuits

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Gregor Kovacic

Professor

Rensselaer Polytechnic Institute

Affiliations

School of Science

Mathematical Sciences Department

Office for Research

Center for Computational Innovations

Darrin Fresh Water Institute

Scientific Computation Research Center

Gregor Kovacic is currently serving as a Mathematical Sciences Professor at Rensselaer Polytechnic Institute.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Gregor Kovacic

Rensselaer Polytechnic Institute

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

On the Coupled Maxwell–Bloch System of Equations With Nondecaying Fields at Infinity. Studies in Applied Mathematics (2025)

Sitai LiGino BiondiniGregor Kovačič

On Maxwell-Bloch Systems With Inhomogeneous Broadening and One-Sided Nonzero Background. Communications in Mathematical Physics (2024)

Asela AbeyaGino BiondiniGregor KovačičBarbara Prinari

mathematical physicsboundary value problemstopological heterostructuresfree boundary problemsdisordered quantum systemmaxwell-bloch systemsapplied physicsphysicselectromagnetismspectral theory

On the Coupled Maxwell-Bloch System of Equations With Non-Decaying Fields at Infinity. arXiv (Cornell University) (2024)

Li, SitaiBiondini, GinoKovacic, Gregor

Direct Verification of the Kinetic Description of Wave Turbulence for Finite-Size Systems Dominated by Interactions Among Groups of Six Waves. Physical Review Letters (2022)

J. W. BanksT. BuckmasterA. O. KorotkevichG. KovačičJ. Shatah

High-Order Accurate Schemes for Maxwell's Equations With Nonlinear Active Media and Material Interfaces. Journal of Computational Physics (2022)

Qing XiaJeffrey W. BanksWilliam D. HenshawAlexander V. KildishevGregor KovačičLudmila J. ProkopevaDonald W. Schwendeman

Improved Effective Linearization of Nonlinear SchröDinger Waves by Increasing Nonlinearity. Physical Review Research (2022)

Katelyn Plaisier LeismanDouglas ZhouJ. W. BanksGregor KovačičDavid Cai

Direct Verification of the Kinetic Description of Wave Turbulence. arXiv (Cornell University) (2021)

J.W. BanksT. BuckmasterA.O. KorotkevichG. KovačičJ. Shatah

High-Order Accurate Schemes for Maxwell-Bloch Equations With Material Interfaces. 2021 International Applied Computational Electromagnetics Society Symposium (ACES) (2021)

Qing XiaJeffrey W. BanksWilliam D. HenshawAlexander V. KildishevGregor KovacicLudmila J. ProkopevaDonald W. Schwendeman

Network Mechanism for Insect Olfaction. Cognitive Neurodynamics (2021)

Pamela B. PyzzaKatherine A. NewhallGregor KovačičDouglas ZhouDavid Cai

network sciencenetwork mechanisminsect molecular biologyinsect sciencebiologybiosystemsinsect social behavior

A Computational Investigation of Electrotonic Coupling Between Pyramidal Cells in the Cortex. Journal of Computational Neuroscience (2020)

Jennifer CrodelleDouglas ZhouGregor KovačičDavid Cai

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hyperbolic equation

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rogue wave

physics

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