Robert J. Renka


     Department of Computer Science & Engineering          Home Address:
     University of North Texas                             1700 Kendolph
     Denton, TX 76203-1366                                 Denton, TX 76205
     (940) 565-2816                                        (940) 566-5487
     email:  robert.renka@unt.edu


     EDUCATION:

     Year  Degree               Major             Institution

     1981  Ph.D.                Computer Science  University of Texas, Austin
     1979  MA in Mathematics    Mathematics       University of Texas, Austin
     1976  BS in Mathematics    Mathematics       University of Texas, Austin
     1976  BA with High Honors  Computer Science  University of Texas, Austin


     PROFESSIONAL EXPERIENCE:

     Dates       Position              Organization           Location

     1999-       Professor             Univ. of North Texas   Denton, TX
     1989-1999   Associate Professor   Univ. of North Texas   Denton, TX
     1984-1989   Assistant Professor   Univ. of North Texas   Denton, TX
     1981-1984   Numerical Analyst     Oak Ridge Natl. Lab.   Oak Ridge, TN
     1976-1981   Research Assistant    University of Texas    Austin TX


     PROFESSIONAL ACTIVITIES:

     Offices in Professional Organizations:
         Editor-in-Chief of Collected Algorithms from the ACM (1989 to 1994)
         Algorithms Editor of ACM Trans. Mathematical Software (1988 to 1994)

     Other Activities:  Referee for journal articles and NSF grant proposals

     Consulting:  Formal Systems Design & Development, Inc., United States
                  Coast Guard, Applied Geophysical Software, Inc., Oak
                  Ridge National Laboratory, J. S. Nolen & Associates,
                  National Security Agency


     HONORS:

     Listed in American Men and Women of Science, Who's Who in America,
               Who's Who in American Education, Who's Who in Finance and
               Industry, Who's Who in Science and Engineering, Who's Who
               in the South and Southwest, and Who's Who in the World


     AREAS OF EXPERTISE:

     Computational Geometry
     Numerical Solution of Partial Differential Equations
     Curve and Surface Fitting


     UNIVERSITY COMMITTEES:

     Jan 2013 to present      Oversight Committee on the Core Curriculum
     Sep 2006 to Sep 2009     Faculty Development Leave Committee
     Sep 2004 to Sep 2009     Faculty Workload subcommittee of Faculty Senate
     Sep 1992 to May 1998     Graduate Council
     Sep 1985 to Aug 1991     Federation of North Texas Area Universities,
                              Computer Science Committee

     COLLEGE COMMITTEES:

     Sep 2012 to present      Undergraduate Curriculum Committee
     Sep 2012 to present      College of Engineering Scholarship Committee
     Sep 2009 to Aug 2010     College of Engineering PAC
     Sep 2005 to Aug 2007     Engineering Technology PAC
     Sep 2003 to Dec 2003     Materials Science P&T Committee
     Sep 1989 to Aug 1992     Graduate Curriculum Committee
     Jan 1988 to Dec 1989     Dean's Representative, University Computing
                                Council, Academic Administrative Advisory
                                Group

     DEPARTMENT COMMITTEES:

     Sep 2006 to present      Personnel Affairs Committee
     Sep 2012 to present      Undergraduate Committee (chair)
     Sep 2010 to Aug 2012     Undergraduate Committee
     Sep 2008 to present      Executive Committee
     Sep 2010 to Aug 2010     Promotion Committee (chair)
     Sep 2007 to Sept 2009    Graduate Committee
     Sep 2007 to Aug 2008     Faculty Search Committee
     Sep 2006 to Aug 2007     Undergraduate Committee
     Jan 2005 to Aug 2006     Personnel Affairs Committee (chair)
     Sep 2005 to Aug 2006     Graduate Committee
     Sep 2003 to Aug 2005     Undergraduate Committee
     Sep 2004 to Dec 2004     Personnel Affairs Committee
     Sep 2002 to Aug 2004     Executive Committee
     Sep 2000 to Aug 2003     Personnel Affairs Committee
     Jan 2002 to Aug 2002     Faculty Search Committee (chair)
     Sep 1995 to Aug 2002     Undergraduate Committee (chair)
     Sep 2001 to Dec 2001     Faculty Search Committee
     Jan 2001 to Aug 2001     Chair Search Committee (chair)
     Aug 1994 to Aug 2001     Executive Committee
     Sep 1999 to Aug 2000     Personnel Affairs Committee (chair)
     Sep 1997 to Aug 1998     Personnel Affairs Committee
     Jan 1997 to Aug 1997     Graduate Committee
     Jan 1996 to Aug 1996     Personnel Affairs Committee
     Sep 1995 to Aug 1996     Graduate Committee
     Sep 1992 to Aug 1995     Personnel Affairs Committee
     Sep 1991 to Aug 1993     Faculty Search Committee (chair)
     Sep 1991 to Aug 1992     Graduate Committee
     Sep 1989 to Aug 1991     Personnel Affairs Committee (chair)
     Sep 1987 to Aug 1991     Executive Committee
     Jan 1988 to Dec 1988     Faculty Search Committee
     Jan 1988 to Dec 1988     Chairman Search Committee
     Jan 1985 to Aug 1987     Research Committee (chair)
     Sep 1985 to Dec 1986     Graduate Committee


     FUNDED GRANTS:

     2008-      "Digital Image Interpolation and Analysis in the
                  Presence of Noise and Artifacts", with S. Betelu,
                  R. Kallman, and J. W. Neuberger, National Security
                  Agency, $72,750.

     2000-2001  "Superconductivity Simulations", with J. W. Neuberger,
                  National Security Agency, $27,350.

     1999-2000  "Simulation of Superconductivity for Crossbar", with J. W.
                  Neuberger, National Security Agency, $24,994.

     1993       "Snowflake Harmonics", with J. W. Neuberger, Cornell
                  Theory Center, 10 service units on the supercomputer
                  facility.

     1991-1993  "Software for Scattered Data Fitting with a Constrained
                  Surface under Tension", National Science Foundation,
                  $98,057.

     1990-1991  "Software for Curve Fitting with Exponential Tension
                  Splines", National Science Foundation, $42,997.

     1989       "A Three-dimensional Constrained Delaunay Triangulation",
                  University of North Texas, $3800.

     1988-1989  "Nonlinear estimation techniques applied to exoatmospheric
                  homing missile engagements", Formal Systems Design &
                  Development, Inc, $9,000.

     1988-1989  "Numerical methods and software for ray tracing", Applied
                  Geophysical Software, Inc., $35,046.

     1988       "Constrained Surface Fitting", University of North Texas,
                  $3200.

     1987       "A Smoothing Surface Based on Shepard's Method", University
                  of North Texas, $3200.

     1986       "Software for Curve Fitting with Tension Splines",
                  University of North Texas, $1500.

     1985       "Scattered Data Smoothing", University of North Texas,
                  $3700.

     1984       "Scattered Data Interpolation with a Surface Under
                  Tension", University of North Texas, $4500.


     REFEREED JOURNAL ARTICLES:

     A. K. Cline and R. J. Renka, A storage-efficient method for construction
       of a Thiessen triangulation, Rocky Mountain J. Math., 14, Winter
       1984, pp. 119-139.

     R. J. Renka and A. K. Cline, A triangle-based C1 interpolation method,
       ocky Mountain J. Math., 14, Winter 1984, pp. 223-237.

     R. J. Renka, Interpolation of data on the surface of a sphere, ACM
       Trans. Math. Software, 10, 4, December 1984, pp. 417-436.

     R. J. Renka, ALGORITHM 623:  Interpolation on the surface of a sphere,
       ACM Trans. Math. Software, 10, 4, December 1984, pp. 437-439.

     R. J. Renka, ALGORITHM 624:  Triangulation and interpolation at
       arbitrarily distributed points in the plane, ACM Trans. Math.
       Software, 10, 4, December 1984, pp. 440-442.

     D. W. Noid, S. K. Knudson, M. L. Koszykowski, and R. J. Renka,
       Semiclassical calculation of molecular vibrations from ab initio
       potentials using splines:  ozone, J. Physical Chemistry, 90, 1986,
       pp. 6135-6138.

     R. J. Renka, Interpolatory tension splines with automatic selection
       of tension factors, SIAM J. Sci. Stat. Comp., 8, 3, May, 1987, 
       pp. 393-415. [download Postscript file] 

     R. J. Renka, Multivariate interpolation of large sets of scattered
       data, ACM Trans. Math. Software, 14, 2, June 1988, pp. 139-148.

     R. J. Renka, ALGORITHM 660. QSHEP2D:  Quadratic Shepard method for
       bivariate interpolation of scattered data, ACM Trans. Math.
       Software, 14, 2, June 1988, pp. 149-150.

     R. J. Renka, ALGORITHM 661. QSHEP3D:  Quadratic Shepard method for
       trivariate interpolation of scattered data, ACM Trans. Math.
       Software, 14, 2, June 1988, pp. 151-152.

     R. J. Renka and F. Vest, Graphical representation of complex functions,
       Mathematics and Computer Education, 22, 1, Winter 1988, pp. 33-45.

     J. F. Fohlmeister, R. J. Renka, and J. H. Stout, Lithospheric plate
       motions predicted by a quantitative theory, Transactions of the
       American Geophysical Union, Vol. 71, No. 43, October 1990, p. 1630.

     A. K. Cline and R. J. Renka, A constrained two-dimensional triangulation
       and the solution of closest node problems in the presence of
       barriers, SIAM J. Numerical Analysis, 27, 5, October 1990,
       pp. 1305-1321.

     R. J. Renka and A. K. Cline, Scattered data fitting using a constrained
       Delaunay triangulation, IMACS Transactions on Scientific
       Computing 91 Volume 3:  AI, Expert Systems, and Symbolic Computation,
       North Holland, June 1992.

     R. J. Renka, ALGORITHM 716. TSPACK:  Tension spline curve fitting
       package, ACM Trans. Math. Software, 19, 1, March 1993, pp. 81-94. 
       [download Postscript file] 

     J. F. Fohlmeister and R. J. Renka, Hotspots, mantle convection and
       plate tectonics: a synthetic calculation, Pure and Applied Geophysics,
       143, 4, 1994, pp. 673-695.

     R. J. Renka and J. W. Neuberger, Minimal surfaces and Sobolev
       gradients, SIAM J. Sci. Comput., 16, 6, November 1995, pp. 1412-1427.

     R. J. Renka, ALGORITHM 751. TRIPACK:  Constrained two-dimensional
       Delaunay triangulation package, ACM Trans. Math. Software, 22, 1,
       March 1996, pp. 1-8.

     R. J. Renka, ALGORITHM 752. SRFPACK:  Software for scattered data
       fitting with a constrained surface under tension, ACM Trans. Math.
       Software, 22, 1, March 1996, pp. 9-17.

     M. L. Lapidus, J. W. Neuberger, R. J. Renka, and C. A. Griffith,
       Snowflake harmonics and computer graphics:  numerical computation
       of spectra on fractal drums, International Journal of Bifurcation
       and Chaos in Applied Sciences and Engineering, 6, 7, 1996, 
       pp. 1185-1210.

     J. W. Neuberger and R. J. Renka, Numerical calculation of singularities
       for Ginzburg-Landau functionals, Electr. J. Diff. Eqns., 1997, 10, 
       June 1997, pp. 1-4. [download Postscript file] 

     R. J. Renka, ALGORITHM 772. STRIPACK:  Delaunay triangulation and
       Voronoi diagram on the surface of a sphere, ACM Trans. Math.
       Software, 23, 3, Sept. 1997, pp. 416-434.

     R. J. Renka, ALGORITHM 773. SSRFPACK:  Interpolation of scattered
       data on the surface of a sphere with a surface under tension, ACM
       Trans. Math. Software, 23, 3, Sept. 1997, pp. 435-442.

     J. F. Fohlmeister and R. J. Renka, Fracture of a superplate:  the
       proximal cause of the Hawaiian-emperor seamount bend?, Pure and
       Applied Geophysics, 151, 1998, pp. 119-146.
 
     J. W. Neuberger and R. J. Renka, Sobolev gradients and the Ginzburg-
       Landau functional, SIAM J. Sci. Comp., 20, 2, 1998, pp. 582-590. 
       [download Postscript file] 

     R. J. Renka and R. Brown, Remark on Algorithm 761, ACM Trans. Math.
       Software, 24, 4, Dec. 1998, pp. 383-385.

     R. J. Renka, Algorithm 790.  CSHEP2D:  Cubic Shepard method for
       bivariate interpolation of scattered data, ACM Trans. Math.
       Software, 25, 1, Mar. 1999, pp. 70-73.

     R. J. Renka and R. Brown, Algorithm 791.  TSHEP2D:  Cosine series
       Shepard method for bivariate interpolation of scattered data,
       ACM Trans. Math. Software, 25, 1, Mar. 1999, pp. 74-77.

     R. J. Renka and R. Brown, Algorithm 792.  Accuracy tests of ACM
       algorithms for interpolation of scattered data in the plane, ACM
       Trans. Math. Software, 25, 1, Mar. 1999, pp. 78-94.

     F. J. Testa and R. J. Renka, Remark on Algorithm 716, ACM Trans.
       Math. Software, 25, 1, Mar. 1999, pp. 95-96.

     R. J. Renka, Remark on Algorithm 751, ACM Trans. Math. Software, 25,
       1, Mar. 1999, pp. 97-98.

     R. J. Renka, Remark on Algorithm 752, ACM Trans. Math. Software, 25,
       1, Mar. 1999, pp. 99-100.

     N. K. Leung and R. J. Renka, C1 convexity-preserving interpolation
       of scattered data, SIAM J. Sci. Comput., 20, 5, May 1999, 
       pp. 1732-1752. [download Postscript file] 

     J. W. Neuberger and R. J. Renka, Numerical calculation of the
       essential spectrum of a Laplacian, Experimental Math., 8, 3,
       Sep. 1999, pp. 301-308. [download Postscript file] 

     C. Zoppou, S. Roberts, and R. J. Renka, Exponential spline
       interpolation in characteristic based scheme for solving the
       advective-diffusion equation, Int. J. Num. Meth. Fluids, 33, 3,
       June, 2000, pp. 429-452.

     J. W. Neuberger and R. J. Renka, Critical points of the Ginzburg-
       Landau functional on multiply-connected domains, Experimental
       Math., 9, 4, winter 2000, pp. 523-533. 
       [download Postscript file] 

     J. W. Neuberger and R. J. Renka, Numerical approximation of 
       critical points of the Ginzburg-Landau functional, J. Nonlinear
       Analysis, 47, 2001, pp. 3259-3270. [download Postscript file] 

     J. F. Fohlmeister and R. J. Renka, Distribution of mantle up-welling
       determined from plate motions:  a case for large-scale Benard
       convection, Pure and Applied Geophysics, 159, 11-12, 2002, 
       pp. 2585-2612.

     J. W. Neuberger and R. J. Renka, Computational simulation of vortex
       phenomena in superconductors, Electronic Journal of Differential
       Equations, Conference 10, 2003, pp. 241-250. [download pdf file] 

     R. J. Renka, Algorithm 828.  DNSPLIN1:  Discrete nonlinear spline
       interpolation, ACM Trans. Math. Software, 29, 4, Dec. 2003, pp. 1-11.

     J. W. Neuberger and R. J. Renka, Numerical determination of vortices
       in superconductors:  simulation of cooling, Superconductor Science
       and Technology, 16, 12, 2003, pp. 1413-1416. [download pdf file] 

     R. J. Renka, Constructing fair curves and surfaces with a Sobolev
       gradient method, Computer Aided Geometric Design, 21, 2, 2004, 
       pp. 137-149.

     Pawel A. Penczek, Robert Renka, and Hermann Schomberg, Gridding-based
       direct Fourier inversion of the three-dimensional ray transform,
       J. Opt. Soc. Am. A, 21, 4, April 2004, pp. 499-509.

     R. J. Renka, Algorithm 833:  CSRFPACK -- Interpolation of scattered
       data with a C^1 convexity-preserving surface, ACM Trans. Math.
       Software, 30, 2, June 2004, pp. 200-211. [download pdf file] 

     R. J. Renka, Algorithm 834:  glsurf -- An interactive surface plotting
       program using OpenGL, ACM Trans. Math. Software, 30, 2, June 2004, 
       pp. 212-217. [download pdf file] 

     J. W. Neuberger and R. J. Renka, Sobolev gradients:  introduction,
       applications, problems, Contemporary Mathematics, 357, 2004, 
       pp. 85-99.

     Peter M. Lyster, Stephen E. Cohn, Banglin Zhang, Lang-ping Chang, 
       Richard Menard, Kevin Olson, and Robert Renka, A Lagrangian trajectory
       filter for constituent data assimilation, Quarterly Journal of the
       Royal Meteorological Society, 130, July 2004, Part B, No. 601,
       pp. 2315-2334.

     J. W. Neuberger and R. J. Renka, Least squares and chaotic behavior
       in initial value problems, J. Nonlinear and Convex Analysis, 6, 1,
       2005, pp. 65-70.

     R. J. Renka, A Sobolev gradient method for construction of elastic
       curves in regular surfaces, J. Nonlinear Analysis: Theory, Methods
       and Applications, 63, 2005, pp. e1789-e1796, doi:  10.1016/
       j.na.2005.02.101.

     A. Linner and R. J. Renka, Discrete periodic geodesics in a surface,
       Experimental Math., 14, 2, 2005, pp. 145-152.

     R. J. Renka, Shape-preserving interpolation by fair discrete G3 space
       curves, Computer Aided Geometric Design, 22, No. 8, 2005, pp.
       793-809, doi:  10.1016/j.cagd.2005.03.003.

     R. J. Renka, Curve fitting with a Sobolev gradient method, Proceedings 
       in Applied Mathematics and Mechanics, 7, 1, December 2007, 
       pp. 1025503-1025504. 

     R. J. Renka, Image segmentation with a Sobolev gradient method,
       J. Nonlinear Analysis: Theory, Methods and Applications, 71, 12,
       2009, pp. e774-e780, doi:  10.1016/j.na.2008.11.070.  [download pdf file] 

     R. J. Renka, Algorithm 893: TSPACK: Tension spline package for curve 
       design and data fitting,  ACM Trans. Math. Softw. 36, 1, Article 7 
       (February 2009), 8 pages. DOI = 10.1145/1486525.1486532 
       http://doi.acm.org/10.1145/1486525.1486532
  
     P. Kazemi and R. J. Renka, A Levenberg-Marquardt method based on
       Sobolev gradients, Nonlinear Analysis Series A: Theory, Methods &
       Applications, 75, 2012, pp. 6170-6179, http://dx.doi.org/10.1016/
       j.na.2012.06.022.  [download pdf file] 

     P. Kazemi and R. J. Renka, Minimization of the Ginzburg-Landau energy 
       functional by a Sobolev gradient trust-region method, Appl. Math.
       Comput., 219, 11, 2013, pp. 5936-5942, http://dx.doi.org/10.1016/
       j.amc.2012.12.038.  [download pdf file] 

     R. J. Renka, Nonlinear least squares and Sobolev gradients, Applied
       Numerical Mathematics, 65, 2013, pp. 91-104, http://dx.doi.org/
       10.1016/j.apnum.2012.12.002.  [download pdf file] 

     R. J. Renka, A Sobolev gradient method for treating the steady-state
       incompressible Navier-Stokes equations, Cent. Eur. J. Math., 11
       (2013), 630-641, http://dx.doi.org/10.2478/s11533-013-0201-4.
       [download pdf file] 

     I. Knowles and R. J. Renka, Methods for numerical differentiation of
       noisy data, Electron. J. Diff. Eqns., Conference 21 (2014), 
       pp. 235-246.  [download pdf file]
    
     P. Kazemi and R. J. Renka, Tikhonov regularization and Sobolev metrics,
       Electron. J. Diff. Eqns., Conference 21 (2014), pp. 173-181.
       [download pdf file]

     R. J. Renka, A trust region method for constructing triangle-mesh
       approximations of parametric minimal surfaces, Applied Numerical
       Mathematics, 76C (2014), pp. 93-100, http://dx.doi.org/10.1016/
       j.apnum.2013.10.006.  [download pdf file] 

     R. J. Renka, Mesh improvement by minimizing a weighted sum of squared
       element volumes, International Journal for Numerical Methods in
       Engineering, 101 (2015), pp. 870-886.  [download pdf file] 

     R. J. Renka, Two simple methods for improving a triangle mesh surface,
       Computer Graphics Forum, 35 (2016), pp. 46-58.  [download pdf file] 

     R. J. Renka, A simple and efficient method for modeling constant
       mean curvature surfaces, SIAM J. Sci. Comput. 37 (2015), pp. A2076-A2099.
       [download pdf file] 



     REFEREED CONFERENCE PROCEEDINGS:

     G. F. Carey, T. T. Pan, and R. J. Renka, Two problems in nonlinear
       finite element analysis, Applied Nonlinear Analysis, V.
       Lakshmikantham, Ed., Academic Press, pp. 467-477, 1979.

     R. J. Renka, PDE2D:  A nonlinear PDE solver, Sparse Matrix Symposium
       1982 Software Catalog, October 1982, p. 120.

     R. J. Renka and A. K. Cline, Scattered data fitting using a con-
       strained Delaunay triangulation, Proceedings of the 13th IMACS
       World Congress on Computation and Applied Mathematics, July 22-26,
       1991, Dublin, Ireland, Vol. 1, pp. 122-123 (invited).

     J. W. Neuberger and R. J. Renka, Approximation of eigenvalues of
       the Dirichlet Laplacian on a fractal drum, Proceedings of the
       Third IMACS International Symposium on Iterative Methods in
       Scientific Computation, July 9-12, 1997, Jackson Hole, Wyoming.

     J. W. Neuberger and R. J. Renka, Numerical determination of vortices
       in superconductors with holes:  simulation of cooling, International
       Superconducting Electronics Conference, July 7-11, 2003, Sydney,
       Australia.

     Pawel Penczek, Robert Renka, and Hermann Schomberg, Gridding-based
       three-dimensional image reconstruction from projections with
       arbitrary directions, IEEE International Symposium on Biomedical
       Imaging, April 15-18, 2004, Arlington, Virginia.


     REFEREED POSTER SESSION:

     S. B. Johnson and R. J. Renka, Triangle mesh generation by edge
       splitting and angle-based smoothing, Posters, 25th International
       Meshing Roundtable, Sandia National Laboratories, September 26-30,
       2016.


     BOOK CHAPTER:

     R. J. Renka, Geometric Curve Modeling with Sobolev Gradients, in
     J. W. Neuberger, Sobolev Gradients and Differential Equations,
     Springer Lecture Notes in Mathematics 1670, 2010, pp. 199-208.


     TECHNICAL REPORTS:

     G. F. Carey and R. J. Renka, Nonlinear Membrane Analysis, Texas
       Institute for Computational Mechanics Report # TICOM 79-1, May 1979.

     J. W. Neuberger and R. J. Renka, A Portable Software Package for
       Nonlinear Partial Differential Equations, Oak Ridge National
       Laboratory, Report # ORNL/CSD-102, March 1982.

     R. J. Renka, A Storage-efficient Method for Construction of a
       Thiessen Triangulation, Oak Ridge National Laboratory, Report #
       ORNL/CSD-101, April 1982.

     R. J. Renka, A Triangle-based C-1 Interpolation Method, Oak Ridge
       National Laboratory, Report # ORNL/CSD-103, April 1982.

     R. J. Renka, Interpolation of Data on the Surface of a Sphere, Oak
       Ridge National Laboratory, Report # ORNL/CSD-108, October 1983.

     R. J. Renka, A Low Level Fortran Graphics Package for the IBM PC,
       NTSU Dept. of Computer Sciences Technical Notes Series # NT86-001,
       February 1986.

     C. Zoppou, S. Roberts, and R. J. Renka, Exponential Interpolation
       in Characteristic Based Scheme for Solving the Advective-Diffusion
       Equation, Australian National University Mathematics Research
       Report No. MRR 039-97, October 1997.

     P. M. Lyster, B. Zhang, R. Menard, K. Olson, L. P. Chang, R. Renka,
       T. Janjic, and S. E. Cohn, A Lagrangian Trajectory Filter for
       Constituent Data Assimilation, Data Assimilation Office, Goddard
       Space Flight Center, DAO Office Note 00-XX, January 1, 2000.

     J. F. Fohlmeister and R. J. Renka, Distribution of Mantle Up-welling
       Determined from Plate Motions:  A Case for Large-scale Benard
       Convection, University of Minnesota Supercomputing Institute 
       Research Report UMSI 2000/250, December 2000.

     J. F. Fohlmeister, Hsin-ching Lin, and R. J. Renka, Nucleation and
       Accretion of Proto-continents and the Origin of Continental Drift:
       a Model Mechanism, University of Minnesota Supercomputing Institute
       Research Report UMSI 2004/25, February 2004.

     Parimah Kazemi and Robert Renka, Nonlinear Optimization in Hilbert
        Space using Sobolev Gradients with Applications, Ulmer Seminaire,
        Vol 17, 2012.


     PAPERS PRESENTED:

     R. J. Renka, Triangulation and Bivariate Interpolation for Irregular-
       ly Distributed Data Points, SIAM 1980 Fall meeting, November 6-8,
       1980, Houston, Texas.

     R. J. Renka and J. W. Neuberger, A Portable Software Package for
       Nonlinear Partial Differential Equations,
       a)  1982 NASIG meeting, June 23-25, 1982, Los Alamos National
             Laboratory, Los Alamos, New Mexico.
       b)  SIAM 30th Anniversary Meeting, July 19-23, 1982, Stanford
             University, Stanford, California.
       c)  Sparse Matrix Symposium 1982, October 24-27, 1982, Fairfield
             Glade, Tennessee.

     R. J. Renka and A. K. Cline, A Triangle-Based C-1 Interpolation
       Method, SIAM 30th Anniversary Meeting, July 19-23, 1982, Stanford
       University, Stanford, California.

     A. K. Cline and R. J. Renka, The Generation of a Triangular Grid to
       Given Nodes Arbitrarily Distributed in the Plane, SIAM 30th
       Anniversary Meeting, July 19-23, 1982, Stanford University,
       Stanford, California.

     R. J. Renka, A Practical Guide to Curve and Surface Fitting,
       Center for Applied Mathematics Seminar, March 22, 1984, National
       Bureau of Standards, Gaithersburg, Maryland (invited).

     R. J. Renka, Automatic Selection of Tension for Curve Fitting with
       Tension Splines, Third Regional Conference on Numerical Analysis,
       September 28-29, 1984, North Texas State University, Denton, Texas.

     R. J. Renka, A New Method for Automatic Finite Element Mesh Genera-
       tion in Two Dimensions, 1986 Texas Seminar in Differential
       Equations, April 19, 1986, North Texas State University, Denton,
       Texas.

     A. K. Cline and R. J. Renka, A Generalized Delaunay Triangulation,
       SIAM 1986 National Meeting, July 21-25, 1986, Boston Park Plaza
       Hotel, Boston, Mass.

     A. K. Cline and R. J. Renka, Scattered Data Interpolation with
       Surface Discontinuities or Missing Data, SIAM 1986 National
       Meeting, July 21-25, 1986, Boston Park Plaza Hotel, Boston, Mass.

     R. J. Renka, Fitting Curves and Surfaces to Discrete Data Sets,
       Physics Colloquium, October 14, 1986, North Texas State University,
       Denton, Texas.

     R. J. Renka, An Interpolatory Surface under Tension with Automatic
       Selection of Tension, SIAM Conference on Applied Geometry,
       July 20-24, 1987, Albany, N.Y.

     R. J. Renka, Scattered Data Interpolation, IMSL Seminar, March 16,
       1990, IMSL, Inc., Houston, Texas (invited).
	
     R. J. Renka and A. K. Cline, Scattered Data Fitting Using a 
       Constrained Delaunay Triangulation, Thirteenth IMACS World
       Congress on Computation and Applied Mathematics, July 22-26,
       1991, Dublin, Ireland (invited).

     J. W. Neuberger and R. J. Renka, A Variable Metric Method for
       Solution of the Parametric Minimal Surface Problem, Fifteenth
       Annual Texas Partial Differential Equations Conference, March 7-8,
       1992, University of North Texas, Denton, Texas.

     R. J. Renka and J. W. Neuberger, A Variable Metric Method for
       Constructing Minimal Surfaces, SMU Department of Mathematics
       Colloquium, December 8, 1993, Southern Methodist University,
       Dallas, Texas (invited).

     M. L. Lapidus, J. W. Neuberger, R. J. Renka, and C. A. Griffith,
       Snowflake Harmonics and Computer Graphics:  Numerical Computation
       of Spectra on Fractal Drums, 103rd Annual Meeting of the AMS
       (Meeting #918), January 8-11, 1997, San Diego, California.

     J. W. Neuberger and R. J. Renka, Finding Critical Points of the
       Ginzburg-Landau Functional by means of Sobolev Gradients, 1997
       Spring Southeastern AMS Sectional Meeting, March 21-22, 1997,
       Memphis, TN.

     J. W. Neuberger and R. J. Renka, Finding Critical Points of the
       Ginzburg-Landau Functional by means of Sobolev Gradients, SIAM
       Conference on Mathematical Aspects of Material Science, May 12-14,
       1997, Philadelphia, PA.

     J. W. Neuberger and R. J. Renka, Approximation of Eigenvalues of
       the Dirichlet Laplacian on a Fractal Drum, Third IMACS Inter-
       national Symposium on Iterative Methods in Scientific Computation,
       July 9-12, 1997, Jackson Hole, Wyoming.

     J. W. Neuberger and R. J. Renka, Ginzburg-Landau Calculations for
       Superconductivity and Location of Singularities, Twenty-first
       Annual Texas Partial Differential Equations Conference, March
       28-29, 1998, Texas A&M University, College Station, Texas.

     R. J. Renka and J. W. Neuberger, The Ginzburg-Landau Functional
       on a Rectangle with Holes, Fourth International Joint Meeting
       of the AMS and the Sociedad Matematica Mexicana (SMM), May 19-22,
       1999, University of North Texas, Denton, Texas.

     J. W. Neuberger and R. J. Renka, Numerical Approximation of Critical
       Points of the Ginzburg-Landau Functional, Third World Congress of
       Nonlinear Analysts, July 19-26, 2000, Catania, Italy.

     J. W. Neuberger and R. J. Renka, Numerical Calculation of Critical
       Points of the Ginzburg-Landau Functional, AMS Annual Meeting,
       January 6-9, 2002, San Diego, California.

     R. J. Renka, A Sobolev Gradient Descent Method for Constructing Smooth
       Curves, Seventh SIAM Conference on Mathematical and Computational
       Issues in the Geosciences, March 17-20, 2003, Austin, Texas.

     J. W. Neuberger and R. J. Renka, Approximation of Eigenvalues of the
       Dirichlet Laplacian on a Fractal Drum, ICIAM 2003 -- 5th International
       Congress on Industrial and Applied Mathematics, July 7-11, 2003,
       Sydney, Australia.

     J. W. Neuberger and R. J. Renka, Numerical Determination of Vortices
       in Superconductors:  Simulation of Cooling, ISEC 2003 -- International
       Superconducting Electronics Conference, July 7-11, 2003, Sydney,
       Australia.

     R. J. Renka, A Variable Metric Descent Method for Curve and Surface
       Fairing, AMS Annual Meeting, January 7-10, 2004, Phoenix, Arizona.

     R. J. Renka, A Sobolev Gradient Method for Construction of Elastic
       Curves in Regular Surfaces, Fourth World Congress of Nonlinear
       Analysts (WCNA-2004), June 30 through July 7, 2004, Orlando, Florida.

     R. J. Renka, Computational Differential Geometry and the Sobolev Gradient
       Method, UNT Mathematics Conference in Honor of John Neuberger's 70th
       Birthday, October 30-31, 2004, Denton, Texas.

     R. J. Renka, Constructing Fair Curves with a Gradient Descent Method,
       SIAM Conference on Geometric Design and Computing, October 31 through
       November 3, 2005, Phoenix, Arizona.

     R. J. Renka, Curve Fitting with a Sobolev Gradient Method, UNT
       Applied Mathematics Seminar, February 17, 2006, Denton, Texas.

     R. J. Renka, Curve Fitting with a Sobolev Gradient Method, 6th
       International Congress on Industrial and Applied Mathematics
       (ICIAM 07), July 16-20, 2007, Zurich, Switzerland.

     R. J. Renka, Image Segmentation with a Sobolev Gradient Method,
       Fifth World Congress of Nonlinear Analysts (WCNA-2008), July 2-9,
       2008, Orlando, Florida.

     R. J. Renka, A Finite Element Method for the Steady-state
        Incompressible Navier-Stokes Equations, 7th International Congress
        of Industrial and Applied Mathematics, July 18-22, 2011, Vancouver,
        B.C., Canada.

     P. Kazemi and R. J. Renka, A Sobolev trust-region method for
        numerical solution of the Ginzburg-Landau equations, Variational
        and Topological Methods: Theory, Applications, Numerical Simulations,
        and Open Problems, June 6-9, 2012, Flagstaff, Arizona, USA.

     P. Kazemi and R. J. Renka, Convergence of the Levenberg-Marquardt
        method, Variational and Topological Methods: Theory, Applications,
        Numerical Simulations, and Open Problems, June 6-9, 2012, Flagstaff,
        Arizona, USA.

     P. Kazemi and R. J. Renka, A Levenberg-Marquardt method using Sobolev
        gradients, 2014 Joint Mathematics Meetings, January 15-18, 2014,
        Baltimore, MD, USA.

     R. J. Renka, A new method for finite element mesh smoothing, Texas PDE
        Conference 2014, March 1-2, 2014, Denton, TX, USA.

     

Last modified: 01/10/2017