Vincent J. Ervin

Professor of Mathematical Sciences; PhD, Georgia Institute of Technology, 1984.

Research Interest

Numerical Analysis, Computational Mathematics, Partial Differential Equations.
 

Publications

Recent Preprints

  1. Ervin, V.J., and Heuer, N., “An Adaptive Boundary Element Method for the Exterior Stokes Problem in three Dimensions,” IMA J. Numer. Anal., 26, 297-325, (2006).

  2. Ervin, V.J., and Ntasin, L.N., “Improving the Effectivity of Residual Based A Posteriori Estimates using a Statistical Approach,” Comp. Meth. Appl. Mech. Eng., 195, 614-631, (2006).

  1. Ervin, V.J., and Roop, J.P., “Variational Formulation for the Stationary Fractional Advection Dispersion Equation,” Numer. Methods for Partial Differential Equations, 22, 558-576, (2006).
  1. Ervin, V.J., and Phillips, T.N., “Residual A Posteriori Error Estimator for a Three Field Model of a Generalized Stokes Problem,” Comp. Meth. Appl. Mech. Eng., 195, 2599-2610, (2006).

  1. Ervin, V.J., and Lee, H.K., “Defect Correction Method for Viscoelastic Fluid Flows at High Weissenberg Number,” Numer. Methods for Partial Differential Equations, 22, 145-164, (2006).

  1. Ervin, V.J., and Roop, J.P., “Variational Solution of Fractional Advection Dispersion Equations on Bounded Domains in Rd,” Numer. Methods for Partial Differential Equations, 23, 256-281, (2007).

  1. Ervin, V.J., Heuer, N., and Roop, J.P., “Numerical Approximation of a Time Dependent, Non-linear, Fractional Order Diffusion Equation,” SIAM J. Numer. Anal., 45, 572-591, (2007).

  1. Ervin, V.J., Layton, W.J., and Neda, M., “Numerical Analysis of a Higher Order Time Relaxation Model of Fluids,” International Journal of Numerical Analysis and Modeling, 4, 648-670, (2007).
  1. Ervin, V.J., and Lee, H., “Numerical Approximation of a quasi-Newtonian Stokes Flow Problem with Defective Boundary Conditions,” SIAM J. Numer. Anal., 45, 2120-2140, (2007).
  1. 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).
  1.  Ervin, V.J., Howell, J.S. and Lee, H., “A Two-Parameter Defect-Correction Method for Computation of Steady-State Viscoelastic Fluid Flow,” to appear Appl. Math. Comput.
  1. 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,” submitted to Comp. Meth. Appl. Mech. Eng.
  1. Chrispell, J.C, Ervin, V.J., and Jenkins, E.W., “A Fractional Step Θ-method for Viscoelastic Fluid Flow using a SUPG approximation,” to appear International Journal of Computational Science.
  1. Ervin, V.J., Jenkins, E.W., and Sun, S., “Coupled Generalized Non-linear Stokes Flow with flow through a Porous Media,” submitted to SIAM J. Numer. Anal.

Vita

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