July, 2008

STEPHEN F. McCORMICK

 

Department of Applied Mathematics

526 UCB

University of Colorado at Boulder

Boulder, CO  80309-0526

 

(303) 492-0662 (-4668 office, -4066 fax), 442-0724 home

http://amath.colorado.edu/appm/faculty/stevem/

stevem@colorado.edu

 

 

EDUCATION

 

San Diego State College: B.A. with honors in Spring, l966. Phi Kappa Phi, Blue Key, Wilma Tyler Trott Scholarship, and Outstanding Senior Student Award.

 

University of Southern California: Ph.D. in Spring, l971. Hughes Master Fellowship, NSF Traineeship, and Teaching Assistantship. Thesis advisor: E. K. Blum. Thesis Title: A General Approach to One-Step Iterative Methods with Application to Eigenvalue Problems

 

 

SOCIETY MEMBERSHIPS

 

ACM, AIAA, IEEE, SIAM, Sigma Xi, SIGNUM

 

 

PROFESSIONAL EXPERIENCE

 

9/66-1/69             Hughes Aircraft Company. Member of the technical staff for the Data Reduction Section, Surveyor Spacecraft Project.

 

1/69-6/70             University of Southern California. Teaching assistant.

 

8/70-9/73             Institute for Educational Computing, Claremont Colleges. Assistant to the Director.

 

9/70-6/72             Pomona College. Assistant Professor of Mathematics.

 

7/72-7/74             NSF Principal Investigator.  Project title: A numerical investigation of iterative methods for the solution of the linear eigenvalue problem, grant no. GJ 34737.

 

9/73-12/83          Colorado State University. Assistant (1973), Associate (1977), and Full (1981) Professor of Mathematics.

 

5/74-4/76             NSF Principal Investigator. Project title: A numerical investigation of one-step iterative methods for the solution of nonlinear equations, grant no. GJ 42626.

 

9/74-6/80             Solar Environmental Engineering Company. Partner and Director of Computing.

 

3/75-2/77             NSF Associate Investigator.  Project title: Information processing for optimization of energy utilization in structures, grant no. DCR 75-03578.

 

6/76-6/78             NSF Principal Investigator. Project title: A numerical investigation of iterative methods for solving linear and nonlinear equations, grant no. MSC 76-09215.

 

6/76-6/78             AFOSR Principal Investigator. Project title: An investigation of numerical methods for the sparse generalized eigenvalue problem, grant no. AFOSR-76-3019.

 

9/76-9/78             NSF Research Associate. Project title: Efficient software for elementary function evaluation on microprocessors, grant no. MCS 76-12457.

 

8/77-9/77             Organizer and Program Chairman for the 1st Rocky Mountain Symposium on Microcomputers: Systems, Software, Architecture. Fort Collins, Colorado. Funded by NSF, AFOSR, ARO and ONR.

 

2/78-3/78             Organizer and Conference Co-chairman for the 2nd Rocky Mountain Symposium on Microcomputers: Systems, Software, Architecture. Fort Collins, Colorado. Funded by AFOSR, ARO, and ONR.

 

9/77-9/78             Organizer and President of SIGNUM Rocky Mountain Chapter.

 

6/78-6/80             AFOSR Principal Investigator. Project title: A numerical investigation of iterative techniques for solving eigenproblems and nonlinear boundary value problems, grant no. AFOSR-76-3019.

 

10/78-9/80          NSF Principal Investigator. Project title: A numerical investigation of iterative techniques for solving eigenproblems and nonlinear boundary value problems, grant no. MCS 78-03847.

 

8/79-7/81             Lawrence Livermore Laboratory Consultant.

 

3/80-9/80             Battelle/ARO Consultant.

 

7/80-7/81             AFOSR Principal Investigator. Project title: An investigation of numerical techniques for nonlinear boundary value and eigenvalue problems, grant no. AFOSR-80-0201.

 

10/80-9/82          NSF Principal Investigator. Project title: A numerical investigation of surface mesh refinement techniques, grant no. MCS 80-17056.

 

1/81-1/92             Multigrid Newsletter Founder and Editor.

 

3/81-2/82             National Center for Atmospheric Research Consultant.

 

7/81-7/82             AFOSR Principal Investigator. Project title: Multigrid methods for nonlinear problems, grant no. AFOSR-F-81-090.

 

7/81-8/81             Lawrence Livermore Laboratory Summer Hire.

 

8/10-1/81             Multigrid Short Course Organizer and Lecturer. Lockheed Palo Alto Research Center, Palo Alto, CA.

 

1/82-6/84             Institute for Computational Studies Research Scientist.

 

6/82-12/84          AFOSR  Principal Investigator. Project title: Multigrid methods for nonlinear problems, contract no. AFOSR-F33615-82-3210.

 

7/82-8/85             National Bureau of Standards Consultant.

 

4/83                         Organizer and Chairman of the 1st Copper Mountain Multigrid Conference, Copper Mountain, CO. Funded by AFOSR, NASA, and GMD.

 

6/83-8/83             Gesellschaft fŸr Mathematik und Datenverarbeitung Visiting Scientist.

 

7/83                         Editor, Proceedings of the 1st Copper Mountain Multigrid Conference, AMC Special Issue.

 

8/83-9/91             Colorado Research and Development Corporation  Research Scientist, Treasurer, and Member of the Board.

 

11/83-2/92          Associate Editor, Applied Mathematics and Computation.

 

1/84-1/86             NASA Langley Principal Investigator. Project title: Algebraic multigrid applied to finite elements with application to structural analysis and elasticity problems, grant no. NAS-1-453.

 

5/84-2/92             Los Alamos National Laboratory Consultant.

 

6/84-12/84          Mobil Oil Research Corp. Principal Investigator. Project title: AMG applied to oil reservoir simulation.

 

8/84-8/93             University of Colorado at Denver Professor of Mathematics.

 

10/84-4/87          DOE Principal Investigator. Project title: Fast adaptive composite grid methods for high performance computer systems, grant no. DE-ACD3-84ER80155, Phases I and II.

 

1/85-1/87             Project with Veritas Research, Oslo. AMG in structures.

 

2/85-2/86             AFOSR Principal Investigator. Project title: Algebraic multigrid and the fast adaptive composite grid method in large-scale computation, grant no. AFOSR-85-0118.

 

5/85                         Organizer and Chairman of the 2nd Copper Mountain Multigrid Conference, Copper Mountain, CO. Funded by AFOSR, NASA, and GMD.

 

9/85                         Editor, Proceedings of the 2nd Copper Mountain Multigrid Conference, AMC Special Issue.

 

Fall/85                   Founded the Computational Mathematics Group at CU-Denver. Obtained support from the University Office of Space Science and Technology, the College of Liberal Arts and Sciences, the Computer Center, and CRDC, including funds for operation, peripheral computer equipment, work-stations, and an Intel PSC Hypercube multicomputer.

 

3/86                         Editor, SIAM Frontier Series in Applied Mathematics, Vol. V. on Multigrid Methods, SIAM, Philadelphia, 1987, pp. 1-282.

 

5/86-9/95             AFOSR Principal Investigator. Original title: Algebraic multigrid and the fast adaptive composite grid method in large-scale computation. Current title: Multilevel methods  in large-scale computation. Grant nos. AFOSR-86-0126 and AFOSR-91-0156.

 

3/87                         Organizer and Chairman of the 3rd Copper Mountain Multigrid Conference, Copper Mountain, CO. Funded by AFOSR.

 

9/87-9/93             NSF  Principal  Investigator. Project  title: Multilevel algorithms for advanced computers, grant no. DMS-8704169.

 

12/87-5/88          NASA Principal Investigator. Project title: Asynchronous multilevel adaptive methods for partial differential equations, grant no. NASI-18606.

 

5/88                         Editor, Lecture Notes in Pure and Applied Mathematics/110, Marcel-Dekker (selected papers of the 3rd Copper Mountain Multigrid Conference).

 

7/88-6/92             Associate Director of Applied Mathematics, Center for Applied  Parallel Processing, University of Colorado.

 

10/88-9/90          Project with DRET (Paris) for The use of algebraic multigrid (AMG) for the numerical simulation of inviscid and viscous compressible flows using finite element methods.

 

3/89                         Organizer and Co-Chairman of the 4th Copper Mountain Multigrid Conference, Copper Mountain, CO. Funded by AFOSR.

 

6/89-12/89          NSF Co-Investigator. Project Title: SCREMS-Local  Area Network Equipment Grant, grant no. DMS-8904404.

 

9/89-8/91             NASA Principle Investigator. Project Title: The NASA Graduate Student Research Program, grant no. NGT-50403.

 

11/89                      Editor, Proceedings of the 4th Copper Mountain  Conference on Multigrid Methods, SIAM.

 

1/90-3/93             NASA Co-Investigator. Project Title: Parallel multilevel adaptive methods for flows in transition, Phases I and II, grant no. SBIR 89-1-06-01-8633.

 

3/90                         Program Chairman of the 1st Copper Mountain Conference on Iterative Methods, Copper Mountain, Colorado. Funded by DOE, NSF, and LANL.

 

5/90-11/90          AFOSR Co-Investigator. Project Title: Multilevel adaptive methods for the Eagle code, Phase I , grant no. SBIR FO8635-90-C-0368.

 

7/90-6/95             Sandia project on Fast numerical methods for flow models for the WIPP project.

 

10/90-now          President, Front Range Scientific Computations, Inc.

 

12/90-9/93          Sandia Graduate Research WIPP Fellowship Advisor.

 

3/91                         Organizer and Co-Chairman of the 5th Copper Mountain Conference on Multigrid Methods, Copper Mountain, CO. Funded by AFOSR, NSF, and IBM.

 

6/91                         Principal Lecturer, NSF-CBMS Regional Research Conference, George Washington University, Washington, D.C.

 

7/91-9/96             Vice-President for the Colorado Offices of Ecodynamics Research Associates, Inc.

 

4/92                         Co-Chairman of the 2nd Copper Mountain Conference on Iterative Methods, Copper Mountain, Colorado. Funded by DOE.

 

1/92-6/95             NASA Co-Investigator. Project Title: Multilevel adaptive methods for combustion, Phases I and II, grant no. SBIR 91-1-0101-4807.

 

12/92-1/96          ONR Co-Investigator. Project Title: Multilevel adaptive methods for 3-D Reynolds averaged Navier-Stokes solvers, Phases I and II, grant no. SBIR N00167-93-C-0009.

 

2/93-7/93             NASA Co-Investigator. Project Title: A C++ virtual shared grid based programming model for architecture-independent development of structured grid codes, Phase I, grant no. SBIR TBA. 

 

4/93                         Co-Chairman of the 6th Copper Mountain Conference on Multigrid Methods, Copper Mountain, Colorado. Funded by DOE, NASA, and NSF.

 

8/93-now             University of Colorado at Boulder, Professor of Applied Mathematics.

 

8/93-12/99          Associate Editor, SIAM Journal on Scientific Computing.

 

4/94                         Co-Chairman of the 3rd Copper Mountain Conference on Iterative Methods, Breckenridge, Colorado. Funded by DOE and NSF.

 

4/94                         Principal Lecturer (with J. Bramble). Australian Workshop on Multigrid Methods, Australian National University, Canberra.

 

5/94-11/97          NSF Principal Investigator. Cooperative research program with INRIA, grant no.

INT-9310529.

 

6/94-6/95             Project with DRET (Paris) for Multilevel methods for the Helmholtz equations.

 

8/94-7/97             NSF  Principal  Investigator. Project  title: Multilevel algorithms for advanced computers, grant no. DMS-9312752.

 

4/95                         Co-Chairman of the 7th Copper Mountain Conference on Multigrid Methods, Copper Mountain, Colorado. Funded by DOE, NASA, and NSF.

 

9/95                         Editor, English translation, Optimization in Solving Elliptic Problems, Eugene G. D'Yakonov, CRC Press, 1995.

 

1/96-9/00             Associate Editor, SIAM Journal on Numerical Analysis.

 

4/96                         Co-Chairman of the 4th Copper Mountain Conference on Iterative Methods, Copper Mountain, Colorado. Funded by DOE and NSF.

 

4/97                         Co-Chairman of the 8th Copper Mountain Conference on Multigrid Methods, Copper Mountain, Colorado. Funded by DOE, IBM, the GMD, and NSF.

 

4/97                         Editor, Special Issue of E. T. N. A. on Multigrid Methods.

 

6/97-5/00             DOE Co-Investigator. Project title: Fast Algorithms for Transport Models, grant no. DE-FG03-95ER25217.

 

8/97-7/00             NSF  Principal  Investigator. Project title: Multilevel and Algebraic Iterative Methods in Large-Scale Computing, grant no. DMS-9706866.

 

12/97                      Co-Principal Investigator. IBM Shared Research Grant of 12-Node SP supercomputer.

 

8/97-8/98             Council on Research and Creative Works Fellowship, University of Colorado at Boulder, half-year faculty research leave support.

 

4/98                         Co-Chairman of the 5th Copper Mountain Conference on Iterative Methods, Copper Mountain, Colorado. Funded by DOE, NSF, and IBM.

 

10/98-9/01          DOE ASCI Level II Co-Investigator. Project Title: Scalable Algorithms for Massive Parallel Computation.

 

10/98-9/01          NIH Co-Investigator. Project Title: Computational Biomechanics of Coupled Systems via FOSLS, grant no. 1-R01-EY12291-01.

 

4/99                         Co-Chairman of the 9th Copper Mountain Conference on Multigrid Methods, Copper Mountain, Colorado. Funded by DOE, NSF, and IBM.

 

4/00                         Co-Chairman of the 5th Copper Mountain Conference on Iterative Methods, Copper Mountain, Colorado. Funded by DOE, NSF, and IBM.

 

4/00                         Co-Chairman of the 6th Copper Mountain Conference on Iterative Methods, Copper Mountain, Colorado. Funded by DOE, NSF, and IBM.

 

7/00-6/03             DOE Co-Investigator. Project title: First-Order System Least Squares (FOSLS):  Fundamentals and Applications, grant no. DE-FG03-99ER25217.

 

9/00                         Chair of the AMG Summit, Lake City, Colorado. Funded by FRSC and LLNL.

 

10/00-10/03       NSF  Principal  Investigator. Project title: First-Order System Least Squares (FOSLS) for Partial Differential Equations, grant no. DMS-0084438.

 

1/01-1004           Sandia National Laboratories Co-Investigator. Project title: Fast and Accurate Numerical Solution of Maxwell Equations, grant no. 1100.12.1512B.

 

1/01-12/05          Editor, SIAM Journal on Multiscale Modeling and Simulation.

 

4/01                         Co-Chairman of the 10th Copper Mountain Conference on Multigrid Methods, Copper Mountain, Colorado. Funded by DOE, NSF, and IBM.

 

7/01-7/06             DOE SciDAC Principal Investigator. Project title: Terascale Optimal PDE Simulations (TOPS), grant number no. DE-FC02-01ER25479.

 

9/01                         Chair of the AMG Summit, Lake City, Colorado. Funded by FRSC and LLNL.

 

3/02                         Co-Chairman of the 7th Copper Mountain Conference on Iterative Methods, Copper Mountain, Colorado. Funded by DOE, NSF, and IBM.

 

9/02                         Chair of the AMG Summit, Lake City, Colorado. Funded by FRSC and LLNL.

 

4/03                         Conference Committee of the 11th Copper Mountain Conference on Multigrid Methods, Copper Mountain, Colorado. Funded by DOE, NSF, and IBM.

 

7/03-3/07             LLNL Principal Investigator. Project Title: FAC, Adaptive AMG, and Compatible Relaxation for Solving Problems That Arise in LLNL Applications.

 

7/03-6/06             DOE Co-Investigator. Project title: First-Order System Least Squares (FOSLS): Fundamentals and Applications (Fast Algorithms for Transport Models).

 

9/03                         Chair of the AMG Summit, Lake City, Colorado. Funded by FRSC and LLNL.

 

10/04-10/07       NSF Co-Investigator. Project title: hp-adaptive FOSLS Methods for Nonlinear PDE Problems with Singularities, grant no. DMS-0410318.

 

3/04                         Conference Committee of the 8th Copper Mountain Conference on Iterative Methods, Copper Mountain, Colorado. Funded by DOE, NSF, IBM, LANL, LLNL, and Sandia.

 

9/04                         Chair of the AMG Summit, Lake City, Colorado. Funded by FRSC and LLNL.

 

4/05                         Conference Committee of the 12th Copper Mountain Conference on Multigrid Methods, Copper Mountain, Colorado. Funded by DOE, NSF, IBM, LANL, LLNL, and Sandia..

 

9/05                         Chair of the AMG Summit, Lake City, Colorado. Funded by FRSC and LLNL.

 

4/06                         Conference Committee of the 9th Copper Mountain Conference on Iterative Methods, Copper Mountain, Colorado. Funded by DOE, NSF, IBM, LANL, LLNL, and Sandia..

 

9/06                         Chair of the AMG Summit, Lake City, Colorado. Funded by FRSC and LLNL.

 

9/06-8/11             NSF Co-Investigator. Project Title: CMG Research: Modeling River Basin Dynamics: Parallel Computing and Advanced Numerical Methods.

 

10/06-9/11          DOE Principal Investigator. Project Title: Towards Optimal Petascale Simulations (TOPS).

 

10/06                      co-Editor, Multigrid Computing, Special Issue of Computing in Science and Engineering, Vol. 8, IEEE, pp. 1-104.

 

3/07                         Conference Committee of the 13th Copper Mountain DOE, NSF, IBM, LANL, LLNL, and Sandia.

 

9/07                         Chair of the AMG Summit, Lake City, Colorado. Funded by FRSC and LLNL.

 

10/07-9/10          DOE Co-Investigator. Project title: First-order system least squares (FOSLS) for nonlinear systems arising in DOE applications.

 

11/07-9/10          LLNL Principal Investigator. Project Title: Geometric and Algebraic Multigrid Methods for QCD, MHD, Elasticity, Transport, and Other DOE Applications.

 

12/07-12/11       NSF Principal Investigator. Project Title: Multigrid QCD at the Petascale.

 

4/08                         Conference Committee of the 12th Copper Mountain Conference on Multigrid Methods, Copper Mountain, Colorado. Funded by DOE, NSF, IBM, Boeing, LANL, LLNL, and Sandia.

 

9/08                         Chair of the AMG Summit, Lake City, Colorado. Funded by FRSC and LLNL.

 

PUBLICATIONS AND REPORTS

 

1.             A general approach to one-step iterative methods with application to eigenvalue problems, J. Comput. Sys. Sci. 6 (l972), pp. 354-372.

 

2.             An iterative procedure for the solution of constrained nonlinear equations with application to optimization problems, Numer. Math. 23 (l975), pp. 371-385.

 

3.             A uniform approach to gradient methods for linear operator equations, J. Math. Anal. Appl. 49 (l975), pp. 275-285 (with G.H. Rodrigue).

 

4.             Some numerical results on the method of gradients for Ax =lBx, J. Comput. Sys. Sci. 13 (l976), pp. 213-222.

 

5.             Simultaneous iteration for the matrix eigenvalue problem, J. Lin. Alg. Appl. 16 (l977), 43-56 (with A.D. Noe).

 

6.             Newton's method with mesh refinements for numerical solution of nonlinear two-point boundary value problems, Numer. Math. 29 (l978), pp. 237-260 (with E.L. Allgower).

 

7.             The methods of Kaczmarz and iterative row orthogonalization for solution of linear equations in Hilbert space, Indiana Univ. Math. J. 2 (l977), pp. 1137-1150.

 

8.             A general mesh independence principle for Newton's method applied to second order boundary value problems, Computing 23 (l979), pp. 223-246 (with E. Allgower and D. Pryor).

 

9.             A revised mesh refinement strategy for numerical solution of two-point boundary value problems,  Numerical treatment of differential equations in applications (Proc. Meeting, Math. Res. Center, Oberwolfach, 1977), pp. 15--23, Lecture Notes in Math., 679, Springer, Berlin, 1978.

 

10.          Evaluation of square root functions on microprocessors, Procs. of ACM 76 (10/76) (with M. Andrews and G.D. Taylor).

 

11.          A microprocessor-based control system for solar heated/cooled residential dwellings, Procs. SIAM Joint Automatic Control Conf. (l977) (with G. Johnson, D. Pryor, and B. Eisenberg).

 

12.          Evaluation of functions on microcomputers: square roots, Comp. Math. Appl. 4 (l979), pp. 359-367 (with M. Andrews and G.D. Taylor).

 

13.          Evaluation of functions on microcomputers: k-th roots, Comp. Math. Appl. 5 (l979), pp. 163-167 (with M. Andrews and G.D. Taylor).

 

14.          Evaluation of functions on microcomputers: exp(x), Comp. Math. Appl. 7 (l981), pp. 503-508 (joint with M. Andrews, D. Jaeger, and G. Taylor).

 

15.          The microcomputer numerical software project at CSU, Procs. 2nd Rocky Mountain Symp. Microcomputers, IEEE, l978 (with M. Andrews, D. Jaeger ,and G. Taylor).

 

16.          Toward optimal control of solar energy systems, Procs. 1978 IEEE Conf. Decision and Control (1/l9/79), San Diego.

 

17.          Microprocessor control in solar heating and cooling, Int'l. Survey in Applications of Microprocessors (l979), pp. 125-134, Infotech Int'l., Berkshire, England.

 

18.          Numerical software for fixed point microcomputer applications, report commissioned by ARO, Fall, l980 (with G.D. Taylor).

 

19.          Evaluation of functions on microcomputers: ln x, Comp. Math Appl. 8 (l982), pp. 389-392 (with G.D. Taylor and D.V. Pryor).

 

20.          Simultaneous optimization of the Rayleigh quotient for Ax =lBx, Lin. Alg. Appl. 34 (l980), pp. 195-234 (with D. Longsine).

 

21.          A mesh refinement method for Ax = lBx, Math Comp. 36 (l981), pp. 485-498.

 

22.          An adaptive differential correction algorithm, J. Approx. Theory 37 (1983), pp. 197-211 (with E. Kaufman and G.D. Taylor).

 

23.          The sparse matrix eigenproblem, report, Colo. State Univ., l975.

 

24.          Multigrid methods: An alternate approach, Lawrence Livermore Lab. report, l979.

 

25.          An algebraic interpretation of multigrid methods, SIAM J. Numer. Anal. 19 (l982), pp. 548-560.

 

26.          Discrete correction methods for operator equations, Procs. Conf. Numerical Solution of Nonlinear Equations: Simplicial and Classical Methods, Bremen, l980 (H.-O. Peitgen, ed.), Springer Lecture Notes in Mathematics, Vol. 878, l981 (with E. Allgower and K. Bšhmer).

 

27.          Multigrid methods for multiprocessor computers, report, Lawrence Livermore Lab. report, l979 (with G. Rodrigue).

 

28.          Mesh  refinement  methods for  integral  equations, Numerical Treatment of Integral Equations (J. Albrecht and L. Gilatz, eds.), 183-90, Birkhauser Verlag, Berlin, l980.

 

29.          Multigrid methods for differential eigenproblems, SIAM J. Sci. Stat. Comp. 4 (l983), pp. 244-260 (with A. Brandt and J. Ruge).

 

30.          Discrete corrections: Basic ideas, Zeit. Ang. Math.  Mech. 2 (l982), pp. 371-377 (with E. Allgower and K. Bšhmer).

 

31.          Numerical software for fixed point microprocessor applications and for fast  implementation of multigrid techniques, Procs. US Army Num. Anal. Comp. Conf., Feb., l981.

 

32.          Multigrid methods for variational problems, SIAM J. Numer. Anal. 19 (l982), pp. 924-929 (with J. Ruge).

 

33.          Unigrid for multigrid simulation, Math. Comp. 41 (l983), pp. 43-62 (with J. Ruge).

 

34.          Unigrid methods for boundary value problems on nonrectangular domains, J. Comp. Phys. 48 (l982), pp. 412-422 (with W. Holland and J. Ruge).

 

35.          Multigrid methods applied to water wave problems, Procs. 3rd IntÕl. Conf. Ship Hydrodynamics, Paris, June 1981.

 

36.          Multigrid methods for variational problems: the V-cycle, Math Comp. Sim. XXV (l983), pp. 63-65, North Holland Pub. Co.

 

37.          Uniform rational approximation on large data sets, Int'l. J. Numer. Meth. Eng. (l982), pp. 1569-1575.

 

38.          Multigrid methods for variational problems: further results, SIAM J. Numer. Anal. 21 (l984), pp. 255-263.

 

39.          Algebraic multigrid (AMG) for automatic multigrid solution with application to geodetic computations, report, Inst. Comp. Studies, Colo. State Univ., l982 (with A. Brandt and J. Ruge).

 

40.          Multigrid image reconstruction, Procs. Workshop Multi-Resolution Image Processing and Anal., Leesburg, VA, July 1982 (A. Rosenfeld, ed.), Springer, l983 (with G. Herman, H. Levkowitz, and H. Tuy).

 

41.          SOR, multigrid and preconditioned conjugate gradients for solving a diffusion problem on the CYBER 205, Appl. Math. Comp. Spec. Issue on Multigrid Methods (S. McCormick and U. Trottenberg, eds.) 13 (l983), pp. 285-310 (with J. Gary and R. Sweet).

 

42.          Multigrid methods for variational problems: general theory for the V-cycle, SIAM J. Numer. Anal. 22 (l985), pp. 634-643.

 

43.          A variational theory for multilevel adaptive techniques (MLAT), Multigrid Methods for Integral and Differential Equations (D.J. Patton and H. Holstein, Eds.), JMAA Conf. Ser., New Ser., New 3 (l985), pp. 225-230, Clarendon Press.

 

44.          Multigrid methods and adaptive techniques for oil reservoir simulation, report, Inst. Comp. Studies, Colo. State Univ., 1983 (with J. Ruge, S. Schaffer, and J. Thomas).

 

45.          Fast adaptive composite grid (FAC) methods: theory for the variational case, in Defect Correction Methods: Theory and Applications (K. Bšhmer and H.J. Stetter, eds.), Computations Supplementation 5 (l984), pp. 115-122.

 

46.          Algebraic multigrid (AMG) for sparse matrix equations, Sparsity and Its Applications (D.J. Evans, ed.), Cambridge Univ. Press, l984 (with A. Brandt and J. Ruge).

 

47.          The fast adaptive composite grid method for solving differential boundary value problems, Procs. 5th ASCE-EMD Specialty Conf., Aug., l984 (with R. Ewing and J. Thomas).

 

48.          The fast adaptive composite grid method (FAC) for elliptic boundary value problems, Math Comp. 46 (1986), pp. 439-456 (with J. Thomas).

 

49.          An algebraic theory for multigrid methods for variational  problems, SIAM J. Numer. Anal. 25 (1988), pp. 91-110 (with J. Mandel and J. Ruge).

 

50.          A multilevel variational method for Au = lBu on composite grids, J. Comp. Phys. 80 (1989), pp. 442-450 (with J. Mandel).

 

51.          The fast adaptive composite grid method (FAC): algorithms for advanced computers, Appl. Math. Comp. Spec. Issue on Multigrid Methods, North Holland, 1985 (with L. Hart, A. O'Gallagher, J. Thomas).

 

52.          The fast adaptive composite grid method in oil reservoir simulation, Procs. SEG-SIAM-SPE Conf. Math. Comput. Meths. Seismic Expl. and Res. Mod., Houston, Jan., l985 (with J. Thomas).

 

53.          Variational theory for multigrid methods, Chapt. 5 in SIAM Frontiers in Applied Math., Vol. III on Multigrid Methods (S. McCormick, ed.), 1987 (with R. Bank and J. Mandel).

 

54.          Fast adaptive methods and advanced architectures, SUPRENUM Proj. Rep. No. 51, GMD, St. Augustin, W. Germany, 1985.

 

55.          Introduction [to multigrid methods], Chapt. 1 in SIAM Frontiers in Applied Math, Vol. III on Multigrid Methods (S. McCormick, ed.), 1987 (with W. Briggs).

 

56.          Algebraic multigrid methods applied to problems in computational structural mechanics, A.M.D. State-of-the-Art Survey on Comp. Mech., Part 2, Chapt. 1, ASME, NY, 1989 (with J. Ruge).

 

57.          Application  of  the  fast  adaptive  composite  grid  method  to computational fluid dynamics, Procs. 5th Int. Conf. Numer. Meths. in Laminar and Turbulent Flow, Montreal, Canada, 1987 (with J. Thomas and A. Thomas).

 

58.          Multigrid load balancing for multiprocessors - an outline, report, CU-Denver, 1986 (with D. Quinlan).

 

59.          Applications of the fast adaptive composite grid method, Lecture Notes in Pure and Applied Mathematics/110, Marcel-Dekker, May, 1988 (with M. Heroux, S. McKay, and J. Thomas).

 

60.          Multigrid methods  on  a  hypercube, Lecture Notes in Pure and Applied Mathematics/110, Marcel-Dekker, May, 1988 (with W. Briggs, L. Hart, and D. Quinlan).

 

61.          Multigrid, elliptic grid generation and the fast adaptive composite grid method for solving transonic potential flow equations, Lecture Notes in Pure and Applied Mathematics/110, Marcel-Dekker, May, 1988 (with C. Liu).

 

62.          Asynchronous multilevel adaptive methods for solving partial differential equations on multiprocessors: basic ideas, Parallel Computing 12 (1989), pp. 131-144 (with L. Hart).

 

63.          Computational complexity of the Schwarz alternating procedure, IntÕl. J. High Speed Computing 1 (1989), pp. 1-28 (with Z. Cai).

 

64.          The finite volume element method for planar cavity flow, Procs. 11th Int'l. Conf. on Numer. Meths. in Fluid Dyns., Williamsburg, June 27 - July 1, 1988 (with C. Liu).

 

65.          Multigrid trends, SIAM News, Vol. 21, No. 1, Jan., 1988.

 

66.          Iterative solution of elliptic equations with refinement:  the two-level case, Procs. 2nd Conf. on Domain Decomposition, Los Ang., Jan., 1988 (with J. Mandel).

 

67.          Iterative solution of elliptic equations with refinement: the model multilevel case, Procs. 2nd Conf. on Domain Decomposition, Los Ang., Jan., 1988 (with J. Mandel).

 

68.          Multigrid, the rotated hybrid scheme, and the fast adaptive composite grid method for planar cavity flow, Procs. 12th IMACS Congress on Scientific Computation, Paris, July, 1988 (with C. Liu).

 

69.          On the accuracy of the finite volume element method for diffusion equations on composite grids, SIAM J. Numer. Anal. 27 (1990), pp. 636-655 (with Z. Cai).

 

70.          Parallel asynchronous multilevel adaptive methods, Procs. 11th Int'l. Conf. on Numer. Meths. in Fluid Dyns., Williamsburg, June 27-July 1, 1988 (with B. Dowell, M. Govett, and D. Quinlan).

 

71.          The realization problem for a class of nonlinear systems, SIAM J. on Matrix Anal. Appl. 11 (1990), pp. 113-127 (with L. Tiejun).

 

72.          Computational complexity of the fast adaptive composite grid (FAC) method, Appl. Numer. Math. 6 (1990), Special Issue on Domain Decomposition (W. Proskurowski, ed.) (with M. McKay and J. Thomas).

 

73.          The finite volume element technique and fast adaptive composite grid method for time-dependent differential equations, Procs. 7th IntÕl Conf. on Finite Element Methods in Flow Problems, Univ. of Alabama, Huntsville, April 3-7, 1989.

 

74.          Dynamic grid refinement for partial differential equations in parallel computers, Procs. 7th IntÕl Conf. on Finite Element Methods in Flow Problems, Univ. of Alabama, Huntsville, April 3-7, 1989 (with D. Quinlan).

 

75.          Multigrid methods for three-dimensional petroleum reservoir simulation, Procs. 10th SPE Sym. Reservoir Sim., Feb. 6-8, 1989 (with J. Dendy, J. Ruge, T. Russell, and S. Schaffer).

 

76.          Asynchronous  parallel adaptive  methods  for solving  partial differential equations: performance results, Parallel Computing 12 (1989), pp. 145-156 (with D. Quinlan).

 

77.          Computation:  breaking the matrix speed limit, Nature Magazine (News and Views) 337 (1989), pp. 205.

 

78.          Multilevel adaptive schemes and domain decomposition methods, Procs. 5th IntÕl. Symp. Numer. Meth. Eng., Lausanne, Sept., 1989.

 

79.          Multilevel Adaptive Methods for Partial Differential Equations, SIAM, Philadelphia, 1989,162 pps.

 

80.          The finite volume element method for diffusion equations on general triangulations, SIAM J. Numer. Anal. 28 (1991), pp. 392-402 (with Z. Cai and J. Mandel).

 

81.          Multigrid, the fast adaptive composite (FAC) grid method for solving flow problems, Procs. IntÕl Symp. on Comp. Fluid Dyn., Nagoya, Japan, Aug. 28-31, 1989 (with C. Liu).

 

82.          On  local  refinement  higher order methods  for  elliptic  partial differential equations, IntÕl. J. High Speed Comp. 2 (1990), pp. 331-334 (with U. RŸde).

 

83.          A  finite  volume  convergence  theory for the fast adaptive composite grid method, Appl. Numer. Math. 14(1994), pp. 91-103 (with U. RŸde).

 

84.          MLAT vs. FAC, report, CU-Denver, March, 1990.

 

85.          Multilevel adaptive methods for elliptic eigenproblems: two-level convergence theory, SIAM J. Numer. Anal. 31(1994), pp. 1731-1745.

 

86.          Multigrid methods for flow transition in a planar channel, Comp. Phys. Comm. 65 (1991), pp. 188-200 (with C. Liu and Z. Liu).

 

87.          Multilevel adaptive methods for incompressible flow in grooved channels, J. Comp. Appl. Math 38 (1991) (with C. Liu and Z. Liu).

 

88.          An  efficient  multigrid  scheme  for  elliptic  equations  with discontinuous  coefficients, Comms. Appl. Numer. Methods 8 (1992), pp. 621-631 (with C. Liu and Z. Liu).

 

89.          Multilevel parameter estimation, Procs. 5th Copper Mountain Conf. on Multigrid Methods, April, 1991 (with G. Wade).

 

90.          Multilevel Riccati solvers, Procs. 5th Copper Mountain Conf. on Multigrid Methods, April, 1991 (with K. Ito and L. Tiejun).

 

91.          Multilevel Projection Methods for Partial Differential Equations, CBMS-NSF Series, SIAM, Philadelphia, 1992, 115 pps.

 

92.          Multilevel adaptive methods for the Eagle code, Numer. Grid Generation in C.F.D. and Related Fields (A.S. Arcilla, J. Hauser, P.R. Eiseman, and J.F. Thompson, eds.), Elsevier, North Holland, 1991, pp. 687-701 (with C. Liu and Z. Liu).

 

93.          Fast multigrid solver for neutron transport problems, Procs. IMACS 1st Int'l. Conf. on Comp. Phys., Boulder, CO, June 11-15, 1990 (with T. Manteuffel, J.E. Morel, and G. Yang).

 

94.          Multigrid solution of linearized, regularized least squares problems in electrical impedance tomography,  Inverse Problems 9 (1993), pp. 697-713 (with G. Wade).

 

95.          High order finite volume and multigrid methods for flow transition in  a  planar channel, Procs. 4th IntÕl Symp. on C.F.D., UC Davis, CA, 1991 (with C. Liu and Z. Liu).

 

96.          Fourth order finite difference and multigrid methods for modeling instabilities in flat plate boundary layers, report to NASA (with C. Liu and Z. Liu).

 

97.          Finite  volume  element  and  multilevel  adaptive  methods,  Procs. Comp. Mech. Water Resources Conf., Denver, June 9-12, 1992.

 

98.          Parallel multigrid methods for transport equations, Procs. 2nd. Copper Mountain Conf. on Iterative Methods, April, 1992 (with T. Manteuffel, J. Morel, S. Oliviera, and G. Yang).

 

99.          Multilevel projection methods for partial differential equations, Procs. NATO Advanced Res. Workshop on Asymptotic-Induced Numer. Methods for PDEs, Critical Parameters, and Domain Decomposition, Beaune, France, May, 1992, NATO ASI Series, Kluwer, pp. 287-292.

 

100.       Multigrid methods for nearly singular linear equations  and  eigenvalue problems, SIAM J. Num. Anal. 34 (1997), pp. 178-200 (with Z. Cai and J. Mandel).

 

101.       Idealized analysis of asynchronous multilevel methods, Procs. Symp. on Adaptive, Multilevel, and Hierarchical Computational Strategies (A.K. Noor, ed.) ASME Winter Annual Meeting, Anaheim, CA, AMD 157 (1992), pp. 1-8 (with D. Quinlan).

 

102.       Adaptive grid refinement in a multilevel solver for semi-implicit solution of shallow water equations on a sphere, Monthly Weather Review 123 (1995), pp. 2197—2205 (with J. Ruge and S. Yee).

 

103.       Multigrid methods for numerical simulation of laminar diffusion flames, AIAA Tech. Paper No. 93-0236, 1993 (with C. Liu and Z. Liu).

 

104.       A fast multigrid algorithm for isotropic transport problems, Part I: pure scattering, SIAM J. Sci. Comp.16 (1995), pp. 601-635 (with T. Manteuffel, J. Morel, S. Oliviera, and G. Yang).

 

105.       A parallel version of a multigrid algorithm for isotropic transport equations, SIAM J. Sci. Comp. 15 (1994), pp. 474-493 (with T. Manteuffel, J. Morel, S. Oliviera, and G. Yang).

 

106.       Accurate  discretization  for  singular  perturbations: the  one-dimensional case, SIAM J. Numer Anal. 32(1995), pp. 83-109 (with X.C. Hu, T. Manteuffel, and T. Russell).

 

107.       Multilevel adaptive methods for laminar diffusion flames, SIAM J. Sci. Comp. 8(1993), pp. 341-355 (with C. Liu and Z. Liu).

 

108.       A fast multigrid algorithm for isotropic transport problems, Part II: with absorption, SIAM J. Sci. Comp., 17 (1996), pp. 1449-1474 (with T. Manteuffel, J. Morel, and G. Yang).

 

109.       A semi-Lagrangian approach to shallow water equations, Procs. 6th Copper Mountain Conf. on Multigrid Methods, NASA, 1993 (with J. R. Bates, J. Ruge, D. Sholl, and I. Yavneh).

 

110.       Multilevel methods for flow transition in a plane channel with roughness elements, Procs. 6th Copper Mountain Conf. on Multigrid Methods, NASA, 1993 (with C. Liu, Z. Liu, and Z.X. Liu).

 

111.       Optimal resolution in maximum entropy image reconstruction from projections with multigrid acceleration, Procs. 6th Copper Mountain Conf. on Multigrid Methods, NASA, 1993 (with M. Limber, T. Manteuffel, and D. Sholl).

 

112.       Schwarz alternating procedure for elliptic problems discretized by  least squares mixed finite elements, report (with Z. Cai).

 

113.       First-order system least squares for second-order partial differential equations: Part I, SIAM J. Numer. Anal. 31(1994), pp. 1785-1802 (with Z. Cai, R. D. Lazarov, and T. Manteuffel).

 

114.       First-order system least squares for second-order partial differential equations: Part II, SIAM J. Numer. Anal. 34 (1997), pp. 425-454 (with Z. Cai and T. Manteuffel).

 

115.       Multilevel projection methodology, Procs. CTAC Conference, Austr. NatÕl Univ., May, 1993.

 

116.       Multilevel projection methods for first-order system least squares, Procs. ASME Fluids Eng. Div. Summer Mtg., Lake Tahoe, CA, June 9-23, 1994 (with T. Manteuffel).

 

117.       Numerical integration of the primitive equations based on the semi-Lagrangian advection of potential vorticity, Procs. Symp. Cyclones, Bergen, Norway, June 27-July 1, 1994 (with J.R. Bates, A. Brandt, Y. Li, and J. Ruge).

 

118.       A nonlinear multigrid solver for a semi-Lagrangian potential vorticity based shallow water model on a sphere, SIAM J. Sci. Comp. 21 (2000), pp. 2381-2398 (with J.R. Bates, A. Brandt, Y. Li, and J. Ruge).

 

119.       First-order system least squares for the Stokes equations, with application to linear elasticity, SIAM J. Numer. Anal. 34 (1997), pp. 1727-1741 (with Z. Cai and T. Manteuffel).

 

120.       Multilevel first-order system least-squares (FOSLS) for Helmholtz equations, Procs. 2nd IntÕl Conf. on Approx. and Num. Meths. for the Solution of the Maxwell Equations, Oct., 1993 (with B. Lee, T. Manteuffel, and J. Ruge).

 

121.       First-order system least squares (FOSLS) for planar linear elasticity: pure traction problem, SIAM J. Numer. Anal. 35 (1998), pp. 320-335 (with Z. Cai, T. Manteuffel, and S. Parter).

 

122.       Analysis of velocity-flux least-squares principles for the Navier-Stokes equations: Part I, SIAM J. Numer. Anal. 35 (1998), pp. 990-1009 (with P. Bochev, Z. Cai, and T. Manteuffel).

 

123.       First-order system least squares for second-order elliptic problems with discontinuous coefficients, Procs. 7th Copper Mountain Conf. on Multigrid Methods, NASA Pubs., Hampton, VA, 1995 (with T. Manteuffel and G. Starke).

 

124.       First-order system least squares for the velocity-pressure-vorticity form of the Stokes equations, with application to linear elasticity, E.T.N.A. 3 (1995), pp. 150-159 (with Z. Cai and T. Manteuffel).

 

125.       A global shallow water numerical model based on the semi-Lagrangian advection of potential vorticity, Quart. J. Royal Met. Soc., Q. J. R. Meteorol. Soc. 121 (1995), pp. 1981-2005 (with J.R. Bates, A. Brandt, Y. Li, and J. Ruge).

 

126.       Multilevel image reconstruction with natural pixels, SIAM J. Sci. Comp. 17 (1996), pp. 193-216 (with V. Henson, M. Limber, and B. Robinson).

 

127.       First-order system least squares (FOSLS) for convection-diffusion problems: numerical results, SIAM J. Sci. Comp., 19 (1998), pp. 1958-1979 (with J.-M. Fiard and T. Manteuffel).

 

128.       Parallel multigrid methods, NASA/LaRC Interdisciplinary Series in Science and Engineering, Parallel Numerical Algorithms (D. Keyes, A. Sameh, V. Venkatakrishnan, eds.), Kluwer, 1997 (with J. Jones).

 

129.       Analysis of first-order system least squares (FOSLS) for elliptic problems with discontinuous coefficients: Part I, SIAM J. Numer. Anal. 43 (2005), pp. 386-408 (with M. Berndt, T. Manteuffel, and G. Starke).

 

130.       Multilevel first-order system least squares methodology