---

Robert C. Sharpley
Professor of Mathematics
Industrial Mathematics Institute, Director

• "Besov Spaces on Domains in R^d", Ronald A. DeVore and Robert C. Sharpley, Transactions of the American Mathematical Society, 335(1993),843-864.

• "A priori estimates and regularizaton for a class of porous media equations", Koffi Fadimba and Robert C. Sharpley, Nonlinear World 2(1995), 13-41.

 Numerical Analysis and Algorithms

• "Contaminant Transfer Simulation of Unsaturated and Multiphase Flows in Porous Media", R.E. Ewing, M.S. Espedal, and R.C. Sharpley," in "Advances in Hydro-Science and Engineering," Vol. 1, Part B. (S. Wang, ed.), University of Mississippi Press, 1993, 1867-1873.

• "An ELLAM Scheme for Advection-Diffusion Equations in Multi-Dimensions", H. Wong, R.C. Sharpley, and S. Man in ``Computational Methods in Water Resources XI,'' Cancun, Mexico, 1996, 8 pp.

• "An ELLAM Scheme for Advection-Dispersion Equations in Two Dimensions,"  H. Wang, H. K. Dahle, R. E. Ewing, M. S. Espedal, R.C. Sharpley, and S. Man, SIAM Journal of Scientific Computing (to appear). (ps) (pdf)    Additional Figures (Figures 25--32) (ps) (pdf), Additional Figures (Figures 33--48) (ps) (pdf). ("ps" are Postscript files, "pdf" is PDF format Acrobat Reader)

• "A Second-Order Characteristic Method for Advection-Diffusion Equations and Comparison to Other Schemes,"  M. Al-Lawatia, R.C. Sharpley, and H. Wang, (submitted). Paper (ps) (pdf), Tables 1-9 (ps), (pdf), Figure1 (ps), (pdf), Figures I1.-I.5 and II1.-II.5 (ps) (pdf). ("ps" are Postscript files, "pdf" is PDF format Acrobat Reader)

• "A characteristic domain decomposition and space-time local refinement method for first-order linear hyperbolic equations with interfaces,"   H. Wang, M. Al-Lawatia, and R.C. Sharpley, (submitted). Paper (ps) (pdf).

• "Expanded Stability Through Higher Temporal Accuracy for Time-Centered Advection Schemes", Richard J. Babarsky and Robert C. Sharpley, Monthly Weather Review 125 (1997), 1277--1295.
  Figures 1-8 (Postscript file), Tables 1-7 (Postscript file)

• "A 3-dimensional finite element simulation for transport of nuclear waste contamination in porous media", R.E. Ewing , H. Wang, M.A. Celia, and R.C. Sharpley, Proceedings of the Eighth International Conference of the International Association for Computer Methods and Advances in Geomechanics, Morgantown, West Virginia, 1994. Figure 1 GIF file

• "Eulerian-Lagrangian localized adjoint methods for transport of nuclear-waste contamination in porous media", R.E. Ewing, R.C. Sharpley, and H. Wang in ``Computational Methods in Water Resources X,'' Vol. 1 (A. Peters et al, eds.), Kluwer Academic Publ., Boston, 1994, 241-248.

  Parallel and Distributed Computing

• "Distributed Computation of Wave Propagation Models Using PVM", R.E. Ewing, D. Mitchum, P. O'Leary, R.C. Sharpley, J. Sochacki, IEEE Parallel and Distributed Technology 2(Spring 1994), 26--31. Figures 1 & 2 GIF file, Figures 3 & 4 GIF file, Figures 5 & 6 GIF file

• "Integration of Contaminant Transport Simulators on Parallel Machines with a Graphical User Interface for Remote Interactive Modeling," L.S. Johnson, A. Kaulgud, R.C. Sharpley, R.E. Ewing, Z. Leyk, J. Pasciak, M. Celia, and J.R. Brannan, in ``Proceedings of the 1997 Simulation Multiconference,'' Atlanta, April 1997, Soc. for Computer Simulation International, San Diego, p. 319-324.

• "Groundwater remediation experiments using interactive computational steering on the Intel Paragon," G. Mahinthakumar, R.C. Sharpley, A. Kaulgud, and L.S. Johnson, Intel Supercomputer Users Group Annual Conference (ISUG97), Alberquerque, NM, June 11-13, 1997.

  Graphical User Interfaces and HPC Enabling Technologies

• "An Interactive Tracking/Steering Library,"  A. Kaulgud and R.C. Sharpley, IMI Report 95:10, Department of Mathematics, University of South Carolina, Columbia, SC (Aug. 1995, rev. July 1997).

• "G3D: A 3D User Environment for Partial Differential Equations,"  L.S. Johnson, A. Kaulgud and R.C. Sharpley, IMI Report 97:01, Department of Mathematics, University of South Carolina, Columbia, SC (Jan. 97).      Companion Figures (postscript)

• "Data Compression and the Elementary Encoding of Wavelet Coefficients,"   (4.3 MByte gzipped directory)   Z. Gao, A. Andreev and R.C. Sharpley, IMI Report 97:02, Department of Mathematics, University of South Carolina, Columbia, SC (Jan. 97, rev. July 1997).

• (803) 777-6268 [Voice-mail]
• (803) 777-7183 [Administrative Asst: Ms. Janice Long]
• (803) 777-6527 [FAX]

E-mail: sharpley@math.sc.edu.