Professor of Mathematical Sciences; PhD, Georgia Institute of Technology, 1984.
Numerical Analysis, Computational Mathematics, Partial
Differential Equations.
Recent Preprints
Case, M.A, Ervin, V.J., Linke, A., and Rebholz, L.G., "A Connecton Between Scott-Vogelius and Grad-Div Stabilized Taylor-Hood Approximations of the Navier-Stokes Equations," SIAM J. Numer. Anal., 49, 1461-1481 (2011).
Ervin, V.J., Jenkins, E.W., and Sun, S., "Coupling Non-linear Stokes and Darcy Flow using Mortar Finite Elements," Appl. Numer. Math., 61, 1198-1222, (2011).
Case, M.A, Ervin, V.J., Linke, A., Rebholz, L.G., and Wilson, N.E., "Stable Computing with an Enhanced Physics Based Scheme for the 3d Navier-Stokes Equations," International Journal of Numerical Analysis and Modeling, 8, 118-136, (2011).
Ervin, V.J., and Jenkins, E.W., "Stabilized Approximation to Time Dependent Conservation Equations via Filtering," Appl. Math. Comput., 217, 7282-7294, (2011).
Chrispell, J.C., Ervin, V.J., and Jenkins, E.W., "A Fractional Step Θ-method Approximation of Time Dependent Viscoelastic Fluid Flow," Journal of Computational and Applied Mathematics, 232, 159-175, (2009).
Ervin, V.J., Jenkins, E.W., and Sun, S., "Coupled Generalized Non-linear Stokes Flow with flow through a Porous Media," SIAM J. Numer. Anal., 47, 929-952, (2009).
Chrispell, J.C, Ervin, V.J., and Jenkins, E.W., "A Fractional Step Θ-method for Viscoelastic Fluid Flow using a SUPG approximation," International Journal of Computational Science, 2, 336-351, 2008.
Ervin, V.J., Howell, J.S. and Stanculescu, I., "A Dual-Mixed Approximation Method for a Three-field Model of a Non-linear Generalized Stokes Problem," Comp. Meth. Appl. Mech. Eng., 197, 2886-2900, (2008).
Ervin, V.J., Howell, J.S. and Lee, H., "A Two-Parameter Defect-Correction Method for Computation of Steady-State Viscoelastic Fluid Flow," Appl. Math. Comput., 196, 818-834, (2008).
Chrispell, J.C, Ervin, V.J., and Jenkins, E.W., "A Fractional Step Θ-method for Convection-Diffusion Problems," J. Math. Anal. Appl., 333, 204-218, (2007).
Vincent J. Ervin Professor, Mathematical Sciences Clemson University Martin Hall Clemson, SC 29634-1907 Voice: (864) 656-2193 FAX: (864) 656-5230 email: vjervin@clemson.edu