Faculty

Institution

Unit

Venue

Yingda Cheng

Professor

Virginia Tech

Affiliations

College of Science

Department of Mathematics

Yingda Cheng is currently serving as a College Of Science Professor at Virginia Tech.

Honors

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Experiences

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Education

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Yingda Cheng

Virginia Tech

Professor

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applied mathematics numerical analysis scientific computing applied physics computer science partial differential equations numerical method for partial differential equation numerical mathematics physics computational science numerical simulations boundary value problems differential equations computational electromagnetics nonlinear analysis numerical computation discontinuous galerkin solver numerical algorithms nonlinear phenomena nonlinear science finite element methods fluid dynamics machine learning computational mechanics radiative transfer discontinuous galerkin methods spectral theory hyperbolic conservation laws nonlinear wave propagation semi-implicit method boundary element methods method of fundamental solution computability theory nonlinear optical media moment closure models front propagation vlasov-maxwell system lightwave technology difference equations wave propagation non-linear optics optical physics radiative transfer modelling high-frequency approximation boltzmann-poisson systems vlasov-poisson systems dispersion analysis boltzmann-poisson model hamilton-jacobi equations numerical study high dimensions electronic materials solid-state electronics mathematical optimization device modeling nonlinear hyperbolic problem anomalous diffusion organic electronics wave optics radiative heat transfer numerical stability electromagnetic waves applied algebra nonlinear equations integrable systems perturbation methods reduced order modeling plasma science higher order derivatives discontinuous galerkin convection-diffusion equations engineering

Notable Scholarly Works

Notable Federal Grants

Collaborators

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

Zhichao PengYanlai ChenYingda ChengFengyan Li

numerical analysisscientific computingapplied mathematicsreduced order surrogatenumerical mathematicspartial differential equationsnumerical algorithmsnumerical computationradiative transfer modellingmultiscale modelingphysicsreduced order modelingnumerical method for partial differential equationquadrature weightssurrogate buildernumerical simulationsspectral theoryinverse problems

Adaptive Sparse Grid Discontinuous Galerkin Method: Review and Software Implementation. Communications on Applied Mathematics and Computation (2023)

Juntao HuangWei GuoYingda Cheng

numerical analysisapplied mathematicsapplied physicsapplied algebramechanical engineering

Machine Learning Moment Closure Models for the Radiative Transfer Equation II: Enforcing Global Hyperbolicity in Gradient-Based Closures. Multiscale Modeling and Simulation (2023)

Juntao HuangYingda ChengAndrew J. ChristliebLuke F. RobertsWen-An Yong

systems engineeringapplied mathematicsradiative transfermachine learningenforcing global hyperbolicitymultiscale modelingapplied physicsgradient-based closuresmoment closure modelsmodeling and simulation

Superconvergence and Accuracy Enhancement of Discontinuous Galerkin Solutions for Vlasov–Maxwell Equations. BIT Numerical Mathematics (2023)

Andrés Galindo-OlarteJuntao HuangJennifer RyanYingda Cheng

numerical analysisapplied mathematicsaccuracy enhancementvlasov-maxwell equationsparticle physicsdiscontinuous galerkin solutions

A Class of Adaptive Multiresolution Ultra-Weak Discontinuous Galerkin Methods for Some Nonlinear Dispersive Wave Equations. SIAM Journal on Scientific Computing (2022)

Juntao HuangYong LiuYuan LiuZhanjing TaoYingda Cheng

numerical analysisapplied physicsscientific computingcomputer science

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

Zhichao PengYanlai ChenYingda ChengFengyan Li

numerical analysisscientific computingapplied mathematicsradiative transfer equationpartial differential equationsnumerical algorithmsradiative transferradiative heat transferphysicsradiative transfer modellinginverse 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

computational electromagneticsnumerical analysisnon-linear opticsapplied mathematicsboundary value problemsmaxwell ’numerical mathematicspartial differential equationsnonlinear equationsnonlinear optical mediaapplied physicsnonlinear sciencenumerical method for partial differential equationdifferential equationssemi-implicit methodnonlinear phenomenamixed-order formnonlinear analysis

Machine Learning Moment Closure Models for the Radiative Transfer Equation I: Directly Learning a Gradient Based Closure. Journal of Computational Physics (2022)

Juntao HuangYingda ChengAndrew J. ChristliebLuke F. Roberts

scientific computingapplied mathematicscomputer scienceradiative transfermachine learningapplied physicsmoment closure models

Machine Learning Moment Closure Models for the Radiative Transfer Equation III: Enforcing Hyperbolicity and Physical Characteristic Speeds. Journal of Scientific Computing (2022)

Juntao HuangYingda ChengAndrew J. ChristliebLuke F. Roberts

scientific computingenforcing hyperbolicitycomputer scienceradiative transfermachine learningapplied physicsmoment closure modelsmodeling and simulationphysical characteristic speeds

An Adaptive High-Order Piecewise Polynomial Based Sparse Grid Collocation Method With Applications. Journal of Computational Physics (2021)

Zhanjing TaoYan JiangYingda Cheng

numerical analysisapplied mathematicscomputer scienceuncertainty analysisapplied physics

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Yingda Cheng

Professor

Virginia Tech

Affiliations

College of Science

Department of Mathematics

Yingda Cheng is currently serving as a College Of Science Professor at Virginia Tech.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Yingda Cheng

Virginia Tech

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

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

Zhichao PengYanlai ChenYingda ChengFengyan Li

Adaptive Sparse Grid Discontinuous Galerkin Method: Review and Software Implementation. Communications on Applied Mathematics and Computation (2023)

Juntao HuangWei GuoYingda Cheng

numerical analysisapplied mathematicsapplied physicsapplied algebramechanical engineering

Machine Learning Moment Closure Models for the Radiative Transfer Equation II: Enforcing Global Hyperbolicity in Gradient-Based Closures. Multiscale Modeling and Simulation (2023)

Juntao HuangYingda ChengAndrew J. ChristliebLuke F. RobertsWen-An Yong

Superconvergence and Accuracy Enhancement of Discontinuous Galerkin Solutions for Vlasov–Maxwell Equations. BIT Numerical Mathematics (2023)

Andrés Galindo-OlarteJuntao HuangJennifer RyanYingda Cheng

numerical analysisapplied mathematicsaccuracy enhancementvlasov-maxwell equationsparticle physicsdiscontinuous galerkin solutions

A Class of Adaptive Multiresolution Ultra-Weak Discontinuous Galerkin Methods for Some Nonlinear Dispersive Wave Equations. SIAM Journal on Scientific Computing (2022)

Juntao HuangYong LiuYuan LiuZhanjing TaoYingda Cheng

numerical analysisapplied physicsscientific computingcomputer science

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

Machine Learning Moment Closure Models for the Radiative Transfer Equation I: Directly Learning a Gradient Based Closure. Journal of Computational Physics (2022)

Juntao HuangYingda ChengAndrew J. ChristliebLuke F. Roberts

scientific computingapplied mathematicscomputer scienceradiative transfermachine learningapplied physicsmoment closure models

Machine Learning Moment Closure Models for the Radiative Transfer Equation III: Enforcing Hyperbolicity and Physical Characteristic Speeds. Journal of Scientific Computing (2022)

Juntao HuangYingda ChengAndrew J. ChristliebLuke F. Roberts

scientific computingenforcing hyperbolicitycomputer scienceradiative transfermachine learningapplied physicsmoment closure modelsmodeling and simulationphysical characteristic speeds

An Adaptive High-Order Piecewise Polynomial Based Sparse Grid Collocation Method With Applications. Journal of Computational Physics (2021)

Zhanjing TaoYan JiangYingda Cheng

numerical analysisapplied mathematicscomputer scienceuncertainty analysisapplied physics

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