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Created in the fall of 1992 to formalize the Computational Math Group that had been created in 1985, the Center for Computational Math (CCM) at CU-Denver is a broad-based response to the rapid and dramatic changes in the various fields of computation. The Center is an interdisciplinary inter-campus organization within the College of Liberal Arts and Sciences with associates at CU-Denver, on other campuses of the Rocky Mountain Region, and within the business and research community of greater Denver.
The Department of Mathematics at CU-Denver, where the Center physically resides, is the most important partner of the Center, as many of CCM members are also faculty members of the Department of Mathematics, and as one of the major activities of the Center is training of high-level undergraduate and graduate students of the Department in computational mathematics. The CCM is making this training available to students by developing relevant courses, supporting enhanced curricula, providing exposure to real problems and facilities, and conferring advanced degrees. Leo Franca is a coordinator of the Numerical Analysis area of Graduate Study at CU-Denver and maintains the corresponding web page http://www-math.cudenver.edu/ccm/ccm-program.html for several years.
One of the main responsibilities of the Center is running the Graduate Computer Lab (GCL), jointly with the Department of Mathematics. The GCL contains various computing resources, including several servers, many workstations, terminals and printers. The GCL is connected to several local and international networks that allow easy access to remote supercomputers. Thanks to the recent major Colorado Commission on Higher Education Excellence in Applied Mathematics award, all GCL equipment was replaced with new hardware in 1999-2000, e.g., all public X-terminals were just replaced with fast LINUX clients with 21" monitors, which significantly increased their speed and reliability. After the major security outbreak in 1998, the security was highly increased, in particular, a firewall was installed in 1999 to protect the local network. Another key project, in progress and joint with the CINS, is upgrading the speed of the local network 10/100 times. Future plans include support of multimedia-based learning and teaching in the GCL, e.g., support of streaming audio and video.
For several years in a row, the CCM has submitted an NSF MRI proposal for acquisition of a high-performance parallel computer. Finally, in 2000, the proposal: "Acquisition of a High-Performance Parallel Computer for Mathematical Sciences and Applications," Principal Investigator: Andrew Knyazev; CO-PI(s): Lynn Bennethum, Stephen Billups, Jan Mandel, Thomas Russell; Senior Personnel: Leo Franca, Karen Kafadar, Craig Johns, Marcelle Arak; has been funded at the level of $100,000, plus $100,000 matching funds from the CU-Denver. The purchase is planned for September of 2001.
Another objective of the Center is to further its international recognition as a site at which computational mathematics thrives and is advanced. The CCM organizes seminars and publishes technical reports, which are internationally known and recognized and which allow CCM members to support existing and to develop new international contacts.
Andrew Knyazev handled the CCM colloquium series. Lynn Bennethum kindly agreed to be the new coordinator for the CCM colloquium series, starting Fall 2000. Tom Russell continued to organize the Denver portion of the CU-Denver/CU-Boulder/School of Mines Joint Seminars in Computational Mathematics that foster interaction between faculty of various departments and campuses of the University of Colorado who have an interest in Computational Mathematics.
The lists of the talks can be found at http://www-math.cudenver.edu/colloq/ccm.html . We were fortunate to have had many short-term visitors from overseas and out of state in 1998-2000, who came to give a talk:
Alessandro Russo, Istituto di Analisi Numerica del CNR, Pavia, Italy Mikhail Shashkov, Los Alamos National Laboratory Richard B Lehoucq, Sandia National Laboratories Yuri Kuznetsov, Department of Mathematics, University of Houston Amiya Kumar Pani, Department of Mathematics IIT, Bombay, India Alex Shvartsburg, Russain Academy of Sciences Alexei Medovikov, Russian Academy of Sciences Donatella Marini, Italy Franco Brezzi, Italy Mikko Lyly, Technical Research Center of Finland Lutz Tobiska, Otto-von-Guericke Universitaet Magdeburg Institut, Germany Isaac Harari, Tel Aviv University, Tel Aviv, Israel Prof. B.N.Parlett, Math. Dept. Univ. Calif., Berkeley Klaus Neymeyr, Mathematisches Institut, Universitaet Tuebingen Vladimir Druskin, Schlumberger-Doll Research, Ridgefield CT, Leonid Knizhnerman, Central Geophysical Expedition, Moscow, Russia Andrea Toselli, Courant Institute of Mathematical Sciences, New York University Joseph E. Pasciak, Texas A&M Zlatko Drmac, Department of Mathematics, University of Zagreb, Croatia S.V. Nepomnyaschikh, Novosibirsk, Russia Van Emden Henson, Lawrence Livermore National Laboratory
The Center for Computational Mathematics Series of Reports has now over 160 reports, written by CCM members and affiliates. The whole collection can be found in hard-copy format in suite 647 of the CU-Denver Building. Hard copies are being distributed among many major computational mathematics centers and departments all over the word:
1) Laboratoire d'Analyse Num\'erique Universit\'e Lyon, FRANCE 2) Istituto di Analisi Numerica 27100 Pavia, ITALY 3) Center for Applied Mathematics Department of Mathematics Purdue University West Lafayette, IN 4) Otto-Von-Guericke-Universit\"at Magdeburg Institut f\"ur Analysis und Numerik Magdeburg, GERMANY 5) INRIA Centre de Documentation, B.P. 105 Le Chesnay Cedex, FRANCE 6) CRS4 CAGLIARI, Italy 7) Moscow State University Numerical Mathematics Division Department of Mathematics and Mechanics Moscow, Russia 8) Institute of Numerical Mathematics Russian Academy of Science Moscow, Russia 9) University of Jyv\"askyl\"a Laboratory of Scientific Computing Jyv\"askyl\"a, Finland 10) Laborat\'orio Nacional de Computa\c c\~ao Cient\'ifica (LNCC/CNPq) c/o Biblioteca do LNCC Rua Lauro M\"uller 455 22290 Rio de Janeiro, RJ Brazil 11) Institute for Numerical and Applied Mathematics University of G\"ottingen G\"ottingen, GERMANY 12) Texas Institute for Computational and Applied Mathematics 24th and Speedway, 6.412 c/o Prof. J. Tinsley Oden The University of Texas at Austin Austin, Texas 78712 13) Departamento de Ingenier\'ia Matem\'atica Universidad de Concepci\'on Concepci\'on, CHILE 14) Department of Mathematics University of Maryland College Park, Maryland 15) Department of Mathematics University of South Carolina Columbia, SC 16) State Publications Library Denver, CO 80203
Further, the Center for Computational Mathematics Series of Reports is a part of the Networked Computer Science Technical Reports Library (NCSTRL), an international on-line collection of computer technical reports from almost 200 universities and industrial and government research laboratories, see http://cs-tr.cs.cornell.edu/ . The NCSRTL collection is distributed among a set of interoperating servers operated by participating institutions. Our Center is running a light site NCSRTL server locally. All recent reports are also available on-line locally at http://www-math.cudenver.edu/ccm/reports.html.
In July 1998 - June 2000, twenty-six reports were published:
161 L. P. Franca and A. Nesliturk, ``On a Two-Level Finite Element Method for the
Incompressible Navier-Stokes Equations.'' June 2000.
160 I. Harari, L. P. Franca, and S. P. Oliveira, ``Streamline Design of Stability Parameters For
Advection-Diffusion Problems.'' June 2000.
159 L. P. Franca and F.-N. Hwang, ``Refining the Submesh Strategy in the Two-level Finite
Element Method: Application to the Advection-Diffusion Equation.'' June 2000.
158 K. Kafadar (advisor), T. J. Carter, I. Chang, D. Duran, J. M. Ethredge, A. Gojanovic, W.
Tilford, A. Tremayne, C. Uiyyasathian, and M. Werner (assistant), ``Survivability of the Mars Lander.'' May 2000.
157 L. S. Bennethum and J. H. Cushman, ``Multicomponent, Multiphase Thermodynamics of
Swelling Porous Media with Electroquasistatics: II. Constitutive Theory.'' May 2000.
156 D. W. Dean, ``Stochastic Differential Equations in Transport Moment Equations.'' May 2000.
155 J. D. Wilson and T. F. Russell, ``Efficient Solver for Mixed and Control-Volume Mixed Finite
Element Methods.'' Feb. 2000.
154 C. I. Heberton, T. F. Russell, L. F. Konikow and G. Z. Hornberger ,``Three-Dimensional Finite-Volume ELLAM Implementation.'' Feb. 2000.
153 R. W. Healy and T. F. Russell, ``Treatment of Internal Sources in the Finite-Volume
ELLAM.'' Feb. 2000.
152 R. L. Naff, T. F. Russell, and J. D. Wilson, ``Test Functions for Three-Dimensional
Control-Volume Mixed Finite-Element Methods on Irregular Grids.'' Feb. 2000.
151 T. F. Russell and R. W. Healy, ``Analytical Tracking Along Streamlines in Temporally Linear
Raviart-Thomas Velocity Fields.'' Feb. 2000.
150 J. Mandel and R. Tezaur, ``On the Convergence of a Dual-Primal Substructuring Method.''
Jan. 2000.
149 A. V. Knyazev, ``Toward the Optimal Preconditioned Eigensolver: Locally Optimal Block
Preconditioned Conjugate Gradient Method.'' Jan. 2000.
148 T. F. Russell, ``Relationships Among Some Conservative Discretization Methods.'' Dec. 1999.
147 S. C. Billups, K. G. Murty, ``Complementarity Problems.'' Nov. 1999.
146 D. W. Dean, ``Stochastic Differential Equations in Transport.'' Oct. 1999.
145 Abram Zhuzhunashvili and Yuri Tvalodze, ``Numerical Solution of Some Singular Unconstrained
Minimization Problems.'' Oct. 1999.
144 L. S. Bennethum and J. H. Cushman, `` Multicomponent, Multiphase Thermodynamics of
Swelling Porous Media with Electroquasistatics: I. Macroscale Field Equations.'' May 2000.
143 A. V. Knyazev, ``Preconditioned Eigensolvers: Practical Algorithms.'' June 1999.
142 R. J. Caron, H. J. Greenberg, and A. G. Holder, ``Analytic Centers and Repelling Inequalities.'' June,
1999.
141 A. Puhalskii and A. Rybko, ``Non-Ergodicity of Queueing Networks Under Non-stability of Their Fluid
Models.'' April 1999.
140 M. Brezina, C. Heberton, J. Mandel, and P. Vanek, ``An Iterative Method with Convergence Rate
Chosen a priori.'' March 1999.
139 L. P. Franca and F. Valentin, ``On an Improved Unusual Stabilized Finite Element Method for the
Advective-Reactive-Diffusive Equation.'' March 1999.
138 W. A. Lodwick, ``Constrained Interval Arithmetic.'' Feb. 1999.
137 D. W. Dean and T. F. Russell, ``An Analysis Of the Stochastic Approaches to the Problems of Flow and
Transport in Porous Media: Upscaling of Dispersivity.'' Oct. 1998.
136 L. P. Franca and A. Russo, ``On Petrov-Galerkin Formulations for the Linear Hyperbolic Equation.'' Sept.
1998.
135 A. V. Knyazev, ``Preconditioned Eigensolvers - an Oxymoron?'' July 1998.
Lynn Bennethum is the Coordinator of the CCM Reports since 1997 and her hard work is very appreciated.
At a meeting of CCM members in May of 1999, a suggestion was made to enhance interaction between computational mathematicians at the University of Colorado and computational mathematicians in industry by offering an opportunity for corporate membership in the CCM . Harvey Greenberg very kindly volunteered to lead this effort.
Last, but not least, let us report on CCM's personnel. We were lucky to hire John Weber again as CCM's system administrator in 1999 to take responsibilities for the CCM's equipment and the GCL. Having John and his highly competent Assistant Systems Administrators Matt McLaughlin (1997-1999) and John Starrett (since 1999), allowed CCM for the first time also to take responsibilities in 1999 for the complete network of the entire department of mathematics, including the departmental Web server. While John was away working for the industry in 1998-1999, Rachel Drummond, who was also our undergraduate student, took the position of the system administrator for one year and bravely fought with major cyberattacks we first experienced in the Fall in 1998. At this hard time, Rossen Parashkevov and Jan Mandel came to help to minimize the damage and to save what has been left. These are the people to whom we owe for an uninterrupted and smooth performance of our network since 1999, and their help cannot be overestimated.
The CCM directorship has been a bit chaotic as Leo Franca, who led the Center since 1996, resigned in 1999 and was replaced by Andrew Knyazev. After being a CCM director for one academic year in 1999-2000, Andrew Knyazev took a sabbatical for a year. The present acting CCM director for the academic year 2000-2001 is Jan Mandel.
For news and updates on the system throughout the year, please check our CCM homepage at http://www-math.cudenver.edu/ccm/ and the Graduate Computer Lab homepage at http://www-math.cudenver.edu/ccm/ccm-lab.html.