Faculty

Institution

Unit

Venue

Fengyan Li

Professor

Rensselaer Polytechnic Institute

Affiliations

School of Science

Mathematical Sciences Department

Office for Research

Scientific Computation Research Center

Fengyan Li 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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Fengyan Li

Rensselaer Polytechnic Institute

Professor

You can click a keyword to filter the displayed items

applied mathematics numerical analysis partial differential equations numerical method for partial differential equation numerical mathematics boundary value problems numerical algorithms differential equations scientific computing mathematics method of fundamental solution physics nonlinear analysis numerical simulations hyperbolic conservation laws computational mathematics semi-implicit method numerical computation computational mechanics boundary element methods difference equations finite element methods computational electromagnetics nonlinear science nonlinear phenomena engineering approximation theory spectral theory discontinuous galerkin methods wave nonlinearity nonlinear hyperbolic problem nonlinear wave propagation radiative transfer modelling ideal mhd equations radiative transfer stability analysis numerical stability high-frequency approximation hamilton-jacobi equations diffusive scaling nonlinear optical media eikonal equations lightwave technology nonlinear equations integrable systems anomalous diffusion electromagnetic waves non-linear optics spectral analysis optical physics maxwell equations energy norm vector fields dispersion analysis radiative transfer equation computational fluid dynamics biomedical imaging computational imaging mathematical optimization computational optimization nonlinear functional analysis hyperbolic equations wave propagation image reconstruction reconstruction techniques wave optics radiative heat transfer validated numerics low-rank approximation basic plasma physics pde-constrained optimization mhd equations divergence-free magnetic field arbitrary order time-harmonic maxwell equations total energy multiple scale kinetic theory reduced order modeling nuclear fusion low rank kinetic models

Video Presentations

Notable Scholarly Works

Notable Federal Grants

Collaborators

Reduced Basis Methods for Parametric Steady-State Radiative Transfer Equation. (2025)

Kimberly MatsudaYanlai ChenYingda ChengFengyan Li

radiative transferradiative transfer modellingdifference equationsscientific computingnumerical algorithmsbasis methodsapplied mathematicsnumerical analysisnumerical method for partial differential equation

A Micro-Macro Decomposed Reduced Basis Method for the Time-Dependent Radiative Transfer Equation. Multiscale Modeling and Simulation (2024)

Zhichao PengYanlai ChenYingda ChengFengyan Li

partial differential equationsmultiscale modelingphysicsnumerical simulationsreduced order modelingradiative transfer modellingnumerical computationquadrature weightsscientific computingspectral theorynumerical algorithmsreduced order surrogatenumerical mathematicsapplied mathematicsnumerical analysisnumerical method for partial differential equationinverse problemssurrogate builder

Multi-Scale Kinetic Simulation: Asymptotic Preserving Imex-Bdf-Dg Schemes With Three Imex Strategies. (2024)

Fengyan Li

multiscale modelingnumerical simulationsmonte carlo methodsapplied mathematicsbiophysicsimex strategiesscientific computingimex-bdf-dg schemesstochastic partial differential equationskinetics (physics)numerical analysismulti-scale kinetic simulation

Nodal Discontinuous Galerkin Methods for Maxwell's Equations in Lorentz-Kerr-Raman Medium Without Nonlinear Algebraic Solver. Journal of Computational Physics (2024)

Maohui LyuFengyan Li

partial differential equationsnonlinear phenomenaphysicslorentz-kerr-raman mediumnonlinear algebraic solvernonlinear sciencesemi-implicit methodnumerical mathematicsnumerical method for partial differential equationboundary value problemsapplied mathematicsnumerical analysisnonlinear analysisdifferential equationsmethod of fundamental solution

An Energy-Based Discontinuous Galerkin Method With Tame Cfl Numbers for the Wave Equation. BIT Numerical Mathematics (2023)

Daniel AppelöLu ZhangThomas HagstromFengyan Li

partial differential equationsmethod of fundamental solutionnumerical mathematicsboundary value problemsapplied mathematicswave equationnumerical analysisnumerical method for partial differential equationdifferential equationstame cfl numbershyperbolic conservation laws

Uniform Stability for Local Discontinuous Galerkin Methods With Implicit-Explicit Runge-Kutta Time Discretizations for Linear Convection-Diffusion Equation. Mathematics of Computation (2023)

Haijin WangFengyan LiChi-Wang ShuQiang Zhang

partial differential equationsmonotonicity stabilitycomputational mathematicsuniform stabilitystabilitynumerical algorithmsnumerical mathematicsboundary value problemsnumerical stabilityapplied mathematicsstability analysismathematicsnumerical analysisnumerical method for partial differential equationdifferential equations

A Learning-Based Projection Method for Model Order Reduction of Transport Problems. Journal of Computational and Applied Mathematics (2022)

Zhichao PengMin WangFengyan Li

partial differential equationsmodel optimizationapproximation theorylearning-based projection methodapproximation methodstransport problemsmodel order reductionoptimal transportsystems engineeringnumerical algorithmsnumerical mathematicscomputational optimizationpde-constrained optimizationapplied mathematicsnumerical analysismathematical optimizationreduced order modeling

A Reduced Basis Method for Radiative Transfer Equation. Journal of Scientific Computing (2022)

Zhichao PengYanlai ChenYingda ChengFengyan Li

partial differential equationsradiative transferphysicsradiative transfer modellingradiative heat transferscientific computingnumerical algorithmsradiative transfer equationapplied mathematicsnumerical analysisinverse problems

Energy Stable Nodal Dg Methods for Maxwell’s Equations of Mixed-Order Form in Nonlinear Optical Media. Communications on Applied Mathematics and Computation (2022)

Maohui LyuVrushali A. BokilYingda ChengFengyan Li

partial differential equationsnonlinear phenomenanonlinear equationsnonlinear sciencenon-linear opticssemi-implicit methodmixed-order formnumerical mathematicsnumerical method for partial differential equationapplied physicsboundary value problemsnonlinear optical mediaapplied mathematicsmaxwell ’numerical analysisnonlinear analysiscomputational electromagneticsdifferential equations

Asymptotic Preserving Imex-Dg-S Schemes for Linear Kinetic Transport Equations Based on Schur Complement. SIAM Journal on Scientific Computing (2021)

Zhichao PengFengyan Li

partial differential equationsanomalous diffusiondifference equationsschur complementnew schemesasymptotic analysisdiffusionnumerical mathematicsapplied mathematicsstability analysismathematicsnumerical analysisdifferential equationshyperbolic conservation laws

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Fengyan Li

Professor

Rensselaer Polytechnic Institute

Affiliations

School of Science

Mathematical Sciences Department

Office for Research

Scientific Computation Research Center

Fengyan Li 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

Fengyan Li

Rensselaer Polytechnic Institute

Professor

You can click a keyword to filter the displayed items

Video Presentations

Notable Scholarly Works

Notable Federal Grants

Collaborators

Reduced Basis Methods for Parametric Steady-State Radiative Transfer Equation. (2025)

Kimberly MatsudaYanlai ChenYingda ChengFengyan Li

A Micro-Macro Decomposed Reduced Basis Method for the Time-Dependent Radiative Transfer Equation. Multiscale Modeling and Simulation (2024)

Zhichao PengYanlai ChenYingda ChengFengyan Li

Multi-Scale Kinetic Simulation: Asymptotic Preserving Imex-Bdf-Dg Schemes With Three Imex Strategies. (2024)

Fengyan Li

Nodal Discontinuous Galerkin Methods for Maxwell's Equations in Lorentz-Kerr-Raman Medium Without Nonlinear Algebraic Solver. Journal of Computational Physics (2024)

Maohui LyuFengyan Li

An Energy-Based Discontinuous Galerkin Method With Tame Cfl Numbers for the Wave Equation. BIT Numerical Mathematics (2023)

Daniel AppelöLu ZhangThomas HagstromFengyan Li

Uniform Stability for Local Discontinuous Galerkin Methods With Implicit-Explicit Runge-Kutta Time Discretizations for Linear Convection-Diffusion Equation. Mathematics of Computation (2023)

Haijin WangFengyan LiChi-Wang ShuQiang Zhang

A Learning-Based Projection Method for Model Order Reduction of Transport Problems. Journal of Computational and Applied Mathematics (2022)

Zhichao PengMin WangFengyan Li

A Reduced Basis Method for Radiative Transfer Equation. Journal of Scientific Computing (2022)

Zhichao PengYanlai ChenYingda ChengFengyan Li

Energy Stable Nodal Dg Methods for Maxwell’s Equations of Mixed-Order Form in Nonlinear Optical Media. Communications on Applied Mathematics and Computation (2022)

Maohui LyuVrushali A. BokilYingda ChengFengyan Li

Asymptotic Preserving Imex-Dg-S Schemes for Linear Kinetic Transport Equations Based on Schur Complement. SIAM Journal on Scientific Computing (2021)

Zhichao PengFengyan Li

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numerical method for partial differential equation

semi-implicit method

Roy Nicolaides

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engineering

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Donald Schwendeman

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general systems

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applied mathematics