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: renka@cs.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:
Memberships in Professional Organizations:
Association for Computing Machinery (ACM)
Society for Industrial and Applied Mathematics (SIAM)
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
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:
Mathematical Software
Numerical Solution of Nonlinear Partial Differential Equations
Curve and Surface Fitting
Computational Geometry
UNIVERSITY COMMITTEES:
Sept 2006 to Sept 2009 Faculty Development Leave Committee
Sept 2004 to Sept 2009 Faculty Workload subcommittee of Faculty Senate
Sept 1992 to May 1998 Graduate Council
Sept 1985 to Aug 1991 Federation of North Texas Area Universities,
Computer Science Committee
COLLEGE COMMITTEES:
Sept 2009 to Present College of Engineering PAC
Sept 2005 to Aug 2007 Engineering Technology PAC
Sept 2003 to Dec 2003 Materials Science P&T Committee
Sept 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 2010 to present Undergraduate Committee
Sep 2008 to present Executive Committee
Sep 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 Construc-
tion of a Thiessen Triangulation", Rocky Mountain J. Math., Vol. 14,
Winter 1984, pp. 119-139.
R. J. Renka and A. K. Cline, "A Triangle-based C1 Interpolation
Method", Rocky Mountain J. Math., Vol. 14, Winter 1984, pp. 223-237.
R. J. Renka, "Interpolation of Data on the Surface of a Sphere", ACM
Trans. Math. Software, Vol. 10, No. 4, December 1984, pp. 417-436.
R. J. Renka, "ALGORITHM 623: Interpolation on the Surface of a
Sphere", ACM Trans. Math. Software, Vol. 10, No. 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, Vol. 10, No. 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, Vol. 90,
1986, pp. 6135-6138.
R. J. Renka, "Interpolatory Tension Splines with Automatic Selection
of Tension Factors", SIAM J. Sci. Stat. Comp., Vol. 8, No. 3, May,
1987, pp. 393-415. [download Postscript file]
R. J. Renka, "Multivariate Interpolation of Large Sets of Scattered
Data", ACM Trans. Math. Software, Vol. 14, No. 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, Vol. 14, No. 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, Vol. 14, No. 2, June 1988, pp. 151-152.
R. J. Renka and F. Vest, "Graphical Representation of Complex Func-
tions", Mathematics and Computer Education, Vol. 22, No. 1, Winter
1988, pp. 33-45.
A. K. Cline and R. J. Renka, "A Constrained Two-dimensional Triangula-
tion and the Solution of Closest Node Problems in the Presence of
Barriers", SIAM J. Numerical Analysis, Vol. 27, No. 5, October 1990,
pp. 1305-1321.
R. J. Renka and A. K. Cline, "Scattered Data Fitting Using a Con-
strained Delaunay Triangulation", IMACS Transactions on Scientific
Computing 91 Volume 3: AI, Expert Systems, and Symbolic Computa-
tion, North Holland, June 1992.
R. J. Renka, "ALGORITHM 716. TSPACK: Tension Spline Curve Fitting
Package", ACM Trans. Math. Software, Vol. 19, No. 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 Geo-
physics, Vol. 143, No. 4, 1994, pp. 673-695.
R. J. Renka and J. W. Neuberger, "Minimal Surfaces and Sobolev
Gradients", SIAM J. Sci. Comput., Vol. 16, No. 6, November 1995,
pp. 1412-1427.
R. J. Renka, "ALGORITHM 751. TRIPACK: Constrained two-dimensional
Delaunay Triangulation Package", ACM Trans. Math. Software,
Vol. 22, No. 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, Vol. 22, No. 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, Vol. 6, No. 7,
1996, pp. 1185-1210.
J. W. Neuberger and R. J. Renka, "Numerical Calculation of Singu-
larities for Ginzburg-Landau Functionals", Electr. J. Diff. Eqns.,
Vol. 1997, No. 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, Vol. 23, No. 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, Vol. 23, No. 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, Vol. 151, 1998, pp. 119-146.
J. W. Neuberger and R. J. Renka, "Sobolev Gradients and the Ginzburg-
Landau Functional", SIAM J. Sci. Comp., Vol. 20, No. 2, 1998,
pp. 582-590. [download Postscript file]
R. J. Renka and R. Brown, "Remark on Algorithm 761", ACM Trans.
Math. Software, Vol. 24, No. 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, Vol. 25, No. 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, Vol. 25, No. 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, Vol. 25, No. 1, Mar. 1999, pp. 78-94.
F. J. Testa and R. J. Renka, "Remark on Algorithm 716", ACM Trans.
Math. Software, Vol. 25, No. 1, Mar. 1999, pp. 95-96.
R. J. Renka, "Remark on Algorithm 751", ACM Trans. Math. Software,
Vol. 25, No. 1, Mar. 1999, pp. 97-98.
R. J. Renka, "Remark on Algorithm 752", ACM Trans. Math. Software,
Vol. 25, No. 1, Mar. 1999, pp. 99-100.
N. K. Leung and R. J. Renka, "C1 Convexity-preserving Interpolation
of Scattered Data", SIAM J. Sci. Comput., Vol. 20, No. 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., Vol. 8,
Issue 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, Vol. 33,
Issue 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., Vol. 9, Issue 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, Vol. 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, Vol. 159, Issue 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, Vol. 29, No. 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, Vol. 16, No. 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, Vol. 21, No. 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, Vol. 21, No. 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, Vol. 30, No. 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, Vol. 30, No. 2,
June 2004, pp. 212-217. [download pdf file]
J. W. Neuberger and R. J. Renka, "Sobolev Gradients: Introduction,
Applications, Problems", Contemporary Mathematics, Vol. 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, Vol. 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,
Vol. 6, No. 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, Vol. 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., Vol. 14, No. 2, 2005, pp. 145-152.
R. J. Renka, "Shape-preserving Interpolation by Fair Discrete G3 Space
Curves", Computer Aided Geometric Design, Vol. 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, Vol. 7, Issue 1,
December 2007, pp. 1025503-1025504.
R. J. Renka, "Image Segmentation with a Sobolev Gradient Method",
J. Nonlinear Analysis: Theory, Methods and Applications,
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
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.
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.
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.
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, 2010.
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,
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Last modified: 01/18/2012