Faculty

Institution

Unit

Venue

Vincent J Ervin

Professor

Clemson University

Affiliations

College of Science

Mathematical and Statistical Sciences

Vincent J Ervin is currently serving as a College Of Science Professor at Clemson University.

Honors

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Experiences

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Education

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Vincent J Ervin

Clemson University

Professor

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applied mathematics numerical analysis numerical simulations numerical method for partial differential equation scientific computing fluid dynamics partial differential equations mechanical engineering numerical mathematics applied physics computational mechanics fluid mechanics fluid flow applied mathematical modelling mathematics computational science fractional calculus finite element methods differential equations computational mathematics computational fluid dynamics boundary value problems boundary element methods mathematical optimization numerical computation nonlinear analysis mechanical modeling nonlinear phenomena spectral theory numerical stability fractional-order systems fractional dynamic fractional stochastics viscoelastic fluid flow computational optimization mathematical sciences flow physics applied algebra dispersion diffusion process unsteady flows anomalous diffusion navier-stokes equations fractional diffusion reaction equations numerical approximation precision engineering numerical algorithms approximation methods mathematical modelling robust optimization integral transforms global analysis computational models computability theory porous medium finite element approximation nonlinear stokes-biot model integral equation hypersingular integral equation three-field model nonlocal kuramoto-sivashinsky equation finite elements collocation methods escape probability spectral approximation dispersion science fractal analysis nonlinear hyperbolic problem numerical experiment granular medium disperse flow hydrodynamic stability mathematical models model analysis shape optimization

Notable Scholarly Works

Notable Federal Grants

Collaborators

An Anomalous Fractional Diffusion Operator. Fractional Calculus and Applied Analysis (2025)

anomalous diffusionfractional dynamicapplied mathematicsfractional stochasticsoperator theoryfractional calculusdiffusionnonlinear phenomenaspectral theory

Characterization of the Weighted Sobolev Space $H_β^{S}(Ω)$ in $\Mathbb{R}^{2}$ in Terms of the Decay Rate of Fourier-Jacobi Coefficients. arXiv (Cornell University) (2024)

Ervin, V. J.

harmonic analysistheoretical analysisweighted sobolev spaceapplied mathematicshigh energy physicsparticle physicsdecay ratefourier-jacobi coefficientsharmonic space

Equivalence of the Weighted Fractional Sobolev Space on a Disk With Characterization by the Decay Rate of Fourier–Jacobi Coefficients and K-Interpolation. Journal of Fourier Analysis and Applications (2024)

V. J. Ervin

harmonic analysisnumerical analysisspectral analysistheoretical analysisapplied mathematicscomplex analysisfunctional analysisfractional calculusfunction spacesharmonic spacefourier expansionfourier analysismathematical analysisfourier-jacobi coefficientsdecay ratespectral theorynonlinear analysis

A Generalized Fractional Laplacian. (2023)

Xiangcheng ZhengVincent ErvinHong Wang

biophysicsnumerical simulationsnumerical analysisfractalsapplied mathematicsfractional stochasticsoperator theoryfinite fieldsdynamical systemsapplied physicsfractional-order systemspotential theoryfractional calculusdifferential equationslinear algebrageneralized fractional laplacianspectral theorydynamical analysis

Analysis and Petrov–Galerkin Numerical Approximation for Variable Coefficient Two-Sided Fractional Diffusion, Advection, Reaction Equations. Journal of Computational and Applied Mathematics (2022)

Xiangcheng ZhengV.J. ErvinHong Wang

numerical analysisfluid dynamicsapplied mathematicspetrov-galerkin numerical approximationreaction equationsapplied physics

Optimal Petrov–Galerkin Spectral Approximation Method for the Fractional Diffusion, Advection, Reaction Equation on a Bounded Interval. Journal of Scientific Computing (2021)

Xiangcheng ZhengV. J. ErvinHong Wang

numerical analysisfluid dynamicsscientific computingapplied mathematicsfractional diffusioncomputer sciencebounded intervalapplied physicscomputational biologyreaction equationcomputational science

Regularity of the Solution to Fractional Diffusion, Advection, Reaction Equations in Weighted Sobolev Spaces. Journal of Differential Equations (2021)

V.J. Ervin

weighted sobolev spacesapplied mathematicsfractional diffusionpartial differential equationsglobal analysisreaction equationsfractional calculusordinary differential equationsdifferential equationsdiffusion

Solvability and Approximation of Two-Side Conservative Fractional Diffusion Problems With Variable-Coefficient Based on Least-Squares. Applied Mathematics and Computation (2021)

Suxiang YangHuanzhen ChenVincent J. ErvinHong Wang

approximation theorymathematical optimizationapplied mathematicsapplied algebrafractional calculus

有界区間上の分数拡散,移流,反応方程式のための最適Petrov-Galerkinスペクトル近似法【Jst・京大機械翻訳】. Journal of Scientific Computing (2021)

Zheng XiangchengV J ErvinWang Hong

social mediaprimary investigationcomputational sciencescientific computingintelligent computingsample introductionchinese culturechinese medicineeast asian languagescomputational biologyasian studiesfirst nationyi liudemographyeast asian studiesquality improvementscientific communicationculturecheminformatics

Approximation of the Axisymmetric Elasticity Equations. Computer Methods in Applied Mechanics and Engineering (2020)

Alistair BentleyV.J. Ervin

approximation theorynumerical simulationsnumerical analysismechanical modelingaxisymmetric elasticity equationsengineeringapplied mathematicscomputational mechanicselasticity (physics)numerical mathematicsmechanics of materialsapplied mathematical modellingmechanicsmechanical engineering

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Vincent J Ervin

Professor

Clemson University

Affiliations

College of Science

Mathematical and Statistical Sciences

Vincent J Ervin is currently serving as a College Of Science Professor at Clemson University.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Vincent J Ervin

Clemson University

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

An Anomalous Fractional Diffusion Operator. Fractional Calculus and Applied Analysis (2025)

anomalous diffusionfractional dynamicapplied mathematicsfractional stochasticsoperator theoryfractional calculusdiffusionnonlinear phenomenaspectral theory

Characterization of the Weighted Sobolev Space $H_β^{S}(Ω)$ in $\Mathbb{R}^{2}$ in Terms of the Decay Rate of Fourier-Jacobi Coefficients. arXiv (Cornell University) (2024)

Ervin, V. J.

harmonic analysistheoretical analysisweighted sobolev spaceapplied mathematicshigh energy physicsparticle physicsdecay ratefourier-jacobi coefficientsharmonic space

V. J. Ervin

A Generalized Fractional Laplacian. (2023)

Xiangcheng ZhengVincent ErvinHong Wang

Xiangcheng ZhengV.J. ErvinHong Wang

numerical analysisfluid dynamicsapplied mathematicspetrov-galerkin numerical approximationreaction equationsapplied physics

Optimal Petrov–Galerkin Spectral Approximation Method for the Fractional Diffusion, Advection, Reaction Equation on a Bounded Interval. Journal of Scientific Computing (2021)

Xiangcheng ZhengV. J. ErvinHong Wang

numerical analysisfluid dynamicsscientific computingapplied mathematicsfractional diffusioncomputer sciencebounded intervalapplied physicscomputational biologyreaction equationcomputational science

Regularity of the Solution to Fractional Diffusion, Advection, Reaction Equations in Weighted Sobolev Spaces. Journal of Differential Equations (2021)

V.J. Ervin

Solvability and Approximation of Two-Side Conservative Fractional Diffusion Problems With Variable-Coefficient Based on Least-Squares. Applied Mathematics and Computation (2021)

Suxiang YangHuanzhen ChenVincent J. ErvinHong Wang

approximation theorymathematical optimizationapplied mathematicsapplied algebrafractional calculus

有界区間上の分数拡散,移流,反応方程式のための最適Petrov-Galerkinスペクトル近似法【Jst・京大機械翻訳】. Journal of Scientific Computing (2021)

Zheng XiangchengV J ErvinWang Hong

Approximation of the Axisymmetric Elasticity Equations. Computer Methods in Applied Mechanics and Engineering (2020)

Alistair BentleyV.J. Ervin

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applied mathematics

numerical method for partial differential equation

Roy Nicolaides

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Leo G. Rebholz

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fluid dynamics

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numerical mathematics

general systems

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financial stability

David Nicholls

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numerical treatment

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David R. Owen

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mechanics

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