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Craig's Preprints

Introduction

    I have produced a few papers so far in my career. I have not concentrated on one specific area. Instead I have worked in a number of theoretical areas and several application that are related. The topics include multigrid, numerical simulation of flames, domain decomposition, numerical linear algebra, iterative methods, or esoteric computing methods.

    The papers are in chronological order. You may download them in PDF format and view them using the Adobe Acrobat Reader, version 6 or later.

Book

1. C. C. Douglas, G. Haase, U. Langer, A Tutorial on Elliptic PDE Solvers and their Parallelization, vol. 16, Software, Environments, and Tools (SET) series, SIAM Books, Philadelphia, 2003.
    http://ec-securehost.com/SIAM/SE16.html    Online Resources
   

Tutorial

1. C. C. Douglas, J. J. Hu, M. Kowarschik, and U. Rüde, Very High Performance Cache Based Techniques for Iterative Methods, December, 2003 edition.     PDF

Articles

1. C. C. Douglas, Multi-grid algorithms for solving elliptic partial differential equations, Ph.D. Thesis, Yale University, New Haven, CT, 1982.

2. C. C. Douglas, Abstract multi-grid with applications to elliptic boundary-value problems, in Elliptic Problem Solvers II, G. Birkhoff and A. Schoenstadt, editors, Academic Press, New York, 1984, pp. 453-466.

3. C. C. Douglas, Multi-grid algorithms with applications to elliptic boundary-value problems, SIAM Journal on Numerical Analysis, 21 (1984), pp. 236-254.

4. C. C. Douglas, A multigrid optimal order solver for elliptic boundary value problems: the finite difference case, in Advances in Computer Methods for Partial Differential Equations - V. R. Vichnevetsky and R.S. Stepleman, editors, IMACS, New Brunswick, NJ, 1984, pp. 369-373.

5. R. E. Bank, and C. C. Douglas, Sharp estimates for multigrid rates of convergence with general smoothing and acceleration, SIAM Journal on Numerical Analysis, 22 (1985), pp. 617-633.

6. C. C. Douglas, A multilevel solver for boundary value problems, appeared in a special joint issue on numerical simulation of VLSI devices of IEEE Transactions on Electrons, 32 (1985), pp. 1987-1991 and IEEE Transactions on Computer Aided Design, 4 (1985), pp. 431-435.

7. R. E. Bank, and C. C. Douglas, An efficient implementation of the SSOR and ILU preconditionings, Applied Numerical Mathematics, 1 (1985), pp. 489-492.      PDF

8. C. C. Douglas, Parallel multigrid techniques, in Proceedings of a Conference on Domain Decomposition and Fast Iterative Techniques, J. Bramble and L. Wahlbin, editors, Mathematical Sciences Institute, Cornell University, Ithaca, NY, 1986.

9. C. C. Douglas, S. C. Ma and W. L. Miranker, Generating parallel algorithms through multigrid and aggregation-disaggregation techniques, in Computational Acoustics: Algorithms and Applications, D. Lee, M. H. Schultz, and R. L. Sternberg, editors, Elsevier Science Publishers (North Holland), 1988, pp. 133-147.

10. C. C. Douglas W. L. Miranker, Constructive interference in parallel algorithms, SIAM Journal on Numerical Analysis, 25 (1988), pp. 376-398.

11. C. C. Douglas, Michael Henderson, Susumu Horiguchi, Willard L. Miranker, Barry F. Smith, and Andrew Winkler, The interaction of numerics and machines, Informationstechnik-IT, 30 (1988), pp. 83-98.

12. C. C. Douglas and W. L. Miranker, Some nontelescoping parallel algorithms based on serial multigrid-aggregation-disaggregation techniques, in Multigrid Methods, S. F. McCormick, editor, Marcel Dekker, New York, 1988, pp. 167-176.

13. C. C. Douglas, Parallel multigrid and domain reduction methods, in Proceedings of the IBM Symposium on Parallel Processing, Poughkeepsie, NY, 1988, pp. 43-48.

14. C. C. Douglas, The parallel domain reduction method in three dimensions, in preliminary version of the Proceedings of the Fourth Copper Mountain Conference on Multigrid Methods, Volume 2, S. F. McCormick and J. Mandel, editors, Computational Mathematics Group, University of Colorado at Denver, Denver, CO, 1989.

15. F. Brezzi, C. C. Douglas, and L. D. Marini, A parallel domain reduction method, in Numerical Methods for Partial Differential Equations, 5 (1989), pp. 195-202.      PDF

16. C. C. Douglas and B. F. Smith, Using symmetries and antisymmetries to analyze a parallel multigrid algorithm, SIAM Journal on Numerical Analysis, 26 (1989), pp. 1439-1461.      PDF

17. C. C. Douglas and J. Mandel, The domain reduction method: high way reduction in three dimensions and convergence with inexact solvers, in Fourth Copper Mountain Conference on Multigrid Methods, J. Mandel, S. F. McCormick, J. E. Dendy, C. Farhat, G. Lonsdale, S. V. Parter, J. W. Ruge, and K. Stüben, editors, SIAM Books, Philadelphia, 1989, pp. 149-160.      PDF

18. C. C. Douglas, A note on a statistical model of computation for parallel, distributed, or serial computers, in Proceedings of the Copper Mountain Conference on Iterative Methods, T. Manteuffel, editor, Computational Mathematics Group, University of Colorado at Denver, Denver, CO, 1990.

19. C. C. Douglas, A variation of the Schwarz alternating method: the domain decomposition reduction method, in Domain Decomposition Methods for Partial Differential Equations III, T. Chan, R. Glowinski, J. Périaux, and O. B. Widlund, editors, SIAM Books, Philadelphia, 1990, pp. 191-201.      PDF

20. C. C. Douglas and W. L. Miranker, The multilevel principal applied to sorting, BIT, 30 (1990), pp. 178-195.

21. C. C. Douglas, J. Mandel, and W. L. Miranker, Fast hybrid solution of algebraic systems, SIAM Journal on Scientific and Statistical Computing, 11 (1990), pp. 1073-1086.      PDF

22. C. C. Douglas, Parallel multigrid, domain decomposition, and projection methods are all similar, Transactions of the American Nuclear Society, 62 (1990), pp. 270-271.

23. C. C. Douglas and W. L. Miranker, Beyond massive parallelism: numerical computation using associative tables, Parallel Computing, 16 (1990), pp. 1-25.      PDF

24. C. C. Douglas and J. Douglas, Jr., Towards a general convergence theory under few assumptions for abstract multilevel algorithms, in Proceedings of the Fifth Copper Mountain Conference on Multigrid Methods, Volume 1, S. F. McCormick and J. Mandel, editors, Computational Mathematics Group, University of Colorado at Denver, Denver, CO, 1991.

25. C. C. Douglas, Practical uses of domain reduction methods, in Domain Decomposition Methods for Partial Differential Equations IV, R. Glowinski, Y. Kuznetsov, G. Meurant, J. Périaux, and O. B. Widlund, editors, SIAM Books, Philadelphia, 1991, pp. 27-34.

26. C. C. Douglas, An almost assumptionless convergence theory for the full approximation scheme or multiple coarse space multigrid algorithms, in Multigrid Methods: Special Topics and Applications II, W. Hackbusch and U. Trottenberg, editors, GMD-Studien 189, GMD St. Augustin, Germany, 1991, pp. 69-79.

27. C. C. Douglas, A tupleware approach to domain decomposition methods, Applied Numerical Mathematics, 8 (1991), pp. 353-373.      PDF

28. C. C. Douglas, The effect of interpolation on the rate of convergence in two level algorithms for elliptic partial differential equations, in Proceedings of the Second Copper Mountain Conference on Iterative Methods, Volume 1, T. Manteuffel, editor, Computational Mathematics Group, University of Colorado at Denver, Denver, CO, 1992.

29. C. C. Douglas and J. Mandel, A group theoretic approach to the domain reduction method, Computing, 48 (1992), pp. 73-96.      PDF

30. C. C. Douglas, Parallel multilevel and multigrid methods, in Applications on Advanced Architecture Computers column, SIAM News, 25 (1992), pp. 14-15.      PDF

31. C. C. Douglas and J. Douglas, Jr., A greatly simplified theory for parallel multigrid or projection methods, in Proceedings of the Fifth SIAM Conference on Parallel Processing for Scientific Computing, J. Dongarra, K. Kennedy, P. Messina, D. Sorensen, and R. Voigt (editors), SIAM Books, Philadelphia, 1992, pp. 105-110.

32. C. C. Douglas, MGNet: a multigrid and domain decomposition network, 1992. ACM SIGNUM Newsletter, 27 (1992), pp. 2-8.      PDF

33. C. C. Douglas and J. Douglas, Jr., A unified convergence theory for abstract multigrid or multilevel algorithms, serial and parallel, SIAM Journal on Numerical Analysis, 30 (1993), pp. 136-158.      PDF

34. R. E. Bank and C. C. Douglas, Sparse matrix multiplication package (SMMP), Advances in Computational Mathematics, 1 (1993), pp. 127-137.      PDF

35. C. C. Douglas, Implementing abstract multigrid or multilevel methods, in Sixth Copper Mountain Conference on Multigrid Methods, N. D. Melson (ed.), NASA, Langley, VA, 1993, pp. 127-141.

36. C. C. Douglas and A. Ern, Numerical solution of flame sheet problems with and without multigrid methods, in Sixth Copper Mountain Conference on Multigrid Methods, N. D. Melson (ed.), NASA, Langley, VA, 1993, pp. 143-157.      PDF

37. C. C. Douglas, M. Heroux, G. Slishman, and R. M. Smith, GEMMW: A portable Level~3 BLAS Winograd variant of Strassen's matrix-matrix multiply algorithm, Journal of Computational Physics, 110 (1994), pp. 1-10.      PDF      Research Report PDF

38. C. C. Douglas, Some remarks on completely vectorizing point Gauss-Seidel while using the natural ordering, Advances in Computational Mathematics, 2 (1994), pp. 215-222.      PDF

39. C. C. Douglas, D. A. George, and M. E. Henderson, Object classes for numerical analysis, OONSKI'94: Proceedings of the second annual object-oriented numerics conference, Rogue Wave Software, Corvallis, OR, 1994, pp. 32-49.      PDF

40. C. C. Douglas, A generalized multigrid theory in the style of standard iterative methods, Multigrid Methods IV, P. W. Hemker and P. Wesseling (eds.), Birkäuser, Basil, 1994, pp. 19-34.

41. C. C. Douglas and G. Slishman, Variants of matrix-matrix multiplication for Fortran-90, ACM SIGNUM Newsletter, 29 (1994), pp. 4-6.      PDF

42. C. C. Douglas, A. Ern, and M. D. Smooke, Numerical simulation of laminar diffusion flames, SIAM News, 27/9 (1994), pp. 1, 12-13, 17. In revised form in Applications on Advanced Architecture Computers, G. Astfalk (ed.), SIAM Books, Philadelphia, 1996, pp. 243-254.      PDF

43. C. C. Douglas, J. Douglas, Jr. and D. E. Fyfe, A multigrid unified theory for non-nested grids and/or quadrature, East-West Journal of Numerical Mathematics, 2 (1994), pp. 285-294.      PDF

44. C. C. Douglas, Madpack: A family of abstract multigrid or multilevel solvers, Computational and Applied Mathematics, 14 (1995), pp. 3-20.      PDF

45. A. Deshpande, S. Malhotra, C. C. Douglas, and M. H. Schultz, A rigorous analysis of time domain parallelism. Parallel Algorithms and Applications, 6 (1995), pp. 53-62.
     PDF      Research Report PDF

46. B. Moon, G. Patnaik, R. Bennett, D. Fyfe, A. Sussman, J. Saltz, and K. C. C. Douglas, Runtime support and dynamic load balancing strategies for structured adaptive applications, in Proceedings of the Seventh SIAM Conference on Parallel Processing for Scientific Computing, D. H. Bailey, P. E. Bjørstad, J. R. Gilbert, M. D. Mascagni, R. Schrieber, H. D. Simon, V. J. Torczon, L. T. Watson (eds.), SIAM Books, Philadelphia, 1995, pp. 575-580.

47. C. C. Douglas, T. G. Mattson, and M. H. Schultz, Experimental results for data sharing on high performance multiprocessors, in Toward Teraflop Computing and New Grand Challenge Applications, R. K. Kalia and P. Vashishta (eds.) Nova Science Publications, Commack, NY, 1995, 13 pages.

48. A. Ern, C. C. Douglas, and M. D. Smooke, Detailed chemistry modeling of laminar diffusion flames on parallel computers, International Journal of Supercomputer Applications and High Performance Computing, 9 (1995), pp. 167-186.

49. C. C. Douglas, Caching in with multigrid algorithms: problems in two dimensions Parallel Algorithms and Applications, 9 (1996), pp. 195-204.      PDF

50. C. C. Douglas, A. Ern, and M. D. Smooke. High performance computing and numerical simulation of flames ZAMM, 76 (1996), pp. 49-52.

51. C. C. Douglas, A sparse matrix approach to abstract multilevel solvers on serial and parallel computers. ZAMM, 76 (1996), pp. 139-142.

52. J. Philbin, J. Edler, O. J. Anshus, C. C. Douglas, and K. Li, Thread scheduling for cache locality, in Proceedings of the Seventh ACM Conference on Architectural Support for Programming Languages and Operating Systems, Cambridge, Massachusetts, October 1996, pp. 60-73.      PDF

53. C. C. Douglas, A review of numerous parallel multigrid methods, in Applications on Advanced Architecture Computers, G. Astfalk (ed.), SIAM Books, Philadelphia, 1996, pp. 187-202.      PDF

54. C. C. Douglas, J. Douglas, Jr. and D. E. Fyfe, A note on multigrid theory for non-nested grids and/or quadrature, in Seventh Copper Mountain Conference on Multigrid Methods, N. D. Melson, T. A. Manteuffel, S. F. McCormick, and C. C. Douglas (eds.), NASA, Langley, VA, 1996, pp. 255-264.

55. C. C. Douglas, Multigrid methods in science and engineering, IEEE Comput. Sci. Eng., 3 (1997), pp. 55-68.

56. C. C. Douglas, A. Ern, and M. D. Smooke, Multigrid solution of flame sheet problems on serial and parallel computers, Parallel Algorithms and Applications, 10 (1997), pp. 225-236.      PDF

57. C. C. Douglas, S. Malhotra, and M. H. Schultz, A characterization of mapping unstructured grids onto structured grids and using multigrid as a preconditioner, BIT, 37 (1997), pp. 661-677.      PDF

58. C. C. Douglas, A. Ern, and M. D. Smooke, Numerical simulation of flames using multigrid methods, in Iterative Methods in Scientific Computation, J. Wang, M. B. Allen, B. M. Chen, and T. Mathew (eds.), IMACS Series in Computational and Applied Mathematics, Vol. 4, New Brunswick, 1998, pp. 149-154.

59. C. C. Douglas, S. Malhotra, and M. H. Schultz, ``Transpose free'' alternating direction smoothers for serial and parallel multigrid methods, in Advances in Computational Mathematics, Z. Chen, Y. Li, C. Micchelli, and Y. Xu (eds.), Marcel-Dekker, New York, 1998, pp. 39-52.      PDF

60. C. C. Douglas, S. Malhotra, and M. H. Schultz, Parameter choices for ADI-like methods on parallel computers, Comput. Appl. Math., 17 (1999), pp. 217-231.      PDF

61. C. C. Douglas, S. Malhotra, and M. H. Schultz, Parallel multigrid with ADI-like smoothers in two dimensions, in Fifth European Multigrid Conference Special Topics and Applications, W. Hackbusch and G. Wittum (eds.), 1998, pp. 47-57.      PDF

62. C. C. Douglas, U. Rüde, J. Hu, and M. L. Bittencourt, Cache based multigrid on unstructured grids, in Virtual Proceedings of the Tenth GAMM Workshop on Parallel Multigrid Methods, M. Griebel (ed.), MGNet Virtual Proceedings Series, Cos Cob, 1999.      PDF

63. C. C. Douglas, J. Hu, W. Karl, M. Kowarschik, U. Rüde, C. Weiss, Cache optimization for structured and unstructured grid multigrid, Elect. Trans. Numer. Anal., 10 (2000), pp. 25-40.      PDF

64. C. C. Douglas, G. Haase, J. Hu, W. Karl, M. Kowarschik, U. Rüde, C. Weiss, Portable memory hierarchy techniques for PDE solvers, Part I, SIAM News 33/5 (2000), pp. 1, 8-9.      PDF

65. C. C. Douglas, G. Haase, J. Hu, W. Karl, M. Kowarschik, U. Rüde, C. Weiss, Portable memory hierarchy techniques for PDE solvers, Part II, SIAM News 33/6 (2000), pp. 1, 10-11, 16.      PDF

66. C. C. Douglas, J. Hu, M. Iskandarani, M. Kowarschik, U. Rüde, C. Weiss, Maximizing cache memory usage for multigrid algorithms, in Multiphase Flows and Transport in Porous Media: State of the Art, Z. Chen, R. E. Ewing, and Z.-C. Shi (eds.), Lecture Notes in Physics, Vol. 552, Springer-Verlag, Berlin, 2000, pp. 234-247.      PDF

67. C. C. Douglas and K. M. Walters, Variable order cascadic multigrid algorithms, Proceedings of ECCOMAS 2000, Barcelona, Spain, 2000, 10 pages.      PDF

68. C. C. Douglas, J. Hu, W. Karl, M. Kowarschik, U. Rüde, C. Weiss, Fixed and adaptive cache aware algorithms for multigrid methods, in Multigrid Methods VI, E. Dick, K. Riemslagh, and J. Vierendeels  (eds.), Lecture Notes in Computational Sciences, Springer-Verlag, Berlin, 2000, pp. 87-93.      PDF

69. C. C. Douglas, J. Hu, M. Iskandarani, Preprocessing costs of cache based multigrid, in Proceedings of the Third European Conference on Numerical Mathematics and Advanced Applications, P. Neittaanmäki, T. Tiihonen, and P. Tarvainen (eds.), World Scientific, Singapore, 2000, pp. 362-370.      PDF

70. C. C. Douglas, G. Haase, M. Iskandarani, High performance multi-layer ocean modeling, in Proceedings of the First MIT Conference on Computational Solid and Fluid Mechanics, K. J. Bathe (ed.), 2001, 5 pages.      PDF

71. M. L. Bittencourt, C. C. Douglas, R. A. Feijóo, Non-nested multigrid methods for linear problems, Numer. Meth. PDE, 17 (2001), 313-331.      PDF

72. C. C. Douglas, J. Hu, J. Ray, D. T. Thorne, and R. S. Tuminaro, Fast, adaptively refined computational elements in 3D, in Computational Science - ICCS 2002, P. M. A. Sllot, C. J. K. Tan, J. J. Dongarra, and A. G. Hoekstra (eds.), 3 (2002), pp. 774-783.      PDF

73. M. L. Bittencourt, C. C. Douglas, R. A. Feijóo, Adaptive non-nested multigrid methods, Eng. Comput., 19 (2002), pp. 158-176.      PDF

74. C. C. Douglas, G. Haase, and M. Iskandarani, An acceleration procedure for the spectral element ocean model formulation of the shallow water equations, Contemporary Mathematics, 295 (2002), pp. 153-158. Also in Fluid Flow and Transport in Porous Media: Mathematical and Numerical Treatment, Z. Chen and R. E. Ewing (eds.).      PDF

75. C. C. Douglas and D. T. Thorne, A note on cache memory methods for multigrid in three dimensions, Contemporary Mathematics, 306 (2002), pp. 167-177. Also in Recent Advances in Numerical Methods for Partial Differential Equations and Applications, X. Feng (ed.).      PDF

76. C. C. Douglas, G. Haase, M. Iskandarani, An additive Schwarz preconditioner for the spectral element ocean model formulation of the shallow water equations, Elec. Trans. Numer. Anal., (15) 2003, pp. 18-28.      PDF

77. C. C. Douglas, G. Haase, and S. Reitzinger, Special solution strategies inside a spectral ocean element model, Math. Models Meth. Applied Sci. (M3AS), 13 (2003), pp. 1-14.      PDF

78. C. C. Douglas, Y. Efendiev, R. Ewing, R. Lazarov, M. R. Cole, C. R. Johnson, and G. Jones, Virtual telemetry middleware for DDDAS, in Computational Sciences - ICCS 2003, P. M. A. Sllot, D. Abramson, J. J. Dongarra, A. Y. Zomaya, and Yu. E. Gorbachev (eds.), 4 (2003), pp. 279-288.      PDF

79. S. Kazaa and J. Zhang, and C. C. Douglas, Preconditioned multigrid simulation of an axisymmetric laminar diffusion flames, Mathematical and Computer Modeling, 38 (2003), pp. 269-279.      PDF

80. C. C. Douglas, M. R. Cole, Y. Efendiev, R. Ewing, V. Ginting, G. Jones, C. R. Johnson, R. Lazarov, C. Shannon, and J. Simpson, A note on dynamic data driven application simulation (DDDAS) using virtual telemetry, ICPACE 2003, J. Zou and X. Chi (eds.), Chinese University of Hong Kong, 2003, pp. 193-198.      PDF

81. C. C. Douglas and G. Haase, Algebraic multigrid and Schur complement strategies within a multilayer spectral element ocean model, Contemporary Math., 329 (2003), pp. 89-98. Also, in Current Trends in Scientific Computing: ICM 2002 Beijing Satellite Conference on Scientific Computing, Z. Chen, R. Glowinski, and K. Li (eds.).      PDF

82. C. C. Douglas, J. Hu, J. Ray, D. T. Thorne, and R. Tuminaro, Cache aware multigrid for variable coefficient elliptic problems on adaptive mesh refinement hierarchies, Numerical Linear Algrebra and Applications, 11 (2004), pp. 173-187.     PDF

83. C. C. Douglas, C. Shannon, Y. Efendiev, R. Ewing, V. Ginting, R. Lazarov, M. R. Cole, G. Jones, C. R. Johnson, and J. Simpson, Telemetry-Driven Application Simulations, in Computational Sciences - ICCS 2004, M. Bubak, G. D. van Albada, P. M. A. Sloot, and J. J. Dongarra (eds.), 3 (2004), pp. 701-708.     PDF

84. J. Mandel, M. Chen, L. P. Franca, C. Johns, A. Puhalskii,, J. L. Coen, C. C. Douglas, R. Kremens, A. Vodacek, W. Zhao, A Note on Dynamic Data Driven Wildfire Modeling, in Computational Sciences - ICCS 2004, M. Bubak, G. D. van Albada, P. M. A. Sloot, and J. J. Dongarra (eds.), 3 (2004), pp. 725-731.     PDF

85. C. C. Douglas, D. T. Thorne, J. Hu, J. Ray, and R. S. Tuminaro, Cache aware multigrid on tadaptively refined structured meshes, Proceedings of ECCOMAS 2004, Jyväskylä, Finland, 24-28 July 2004, P. Neittaanmaki, T. Rossi, S. Korotov, E. Onate, J. Periaux, and D. Knoerzer (eds.), 18 pages.     PDF

86. J. Mandel, L. S. Bennethum, M. Chen, J. L. Coen, C. C. Douglas, L. P. Franca, C. J. Johns, M. Kim, A. V. Knyazev, R. Kremens, V. Kulkarni, G. Qin, A. Vodacek, J. Wu, W. Zhao, and A. Zornes, Towards a dynamic data driven application system for wildfire simulation, Computational Science - ICCS 2005, 2 (2005), pp. 632-639.     PDF

87. C. C. Douglas, Y. Efendiev, R. Ewing, V. Ginting, R. Lazarov, M. J. Cole, G. Jones, and C. R. Johnson, Dynamic data-driven contaminant simulation, Computational Sciences - ICCS 2005, 2 (2005), pp. 640-647.     PDF

88. C. C. Douglas and Deng Li, Dynamic Data-Driven Application Simulation Projects, Bulletin of Japan SIAM, 15 (2005), pp. 75-78.     PDF

89. C. C. Douglas, J. C. Harris, M. Iskandarani, C. R. Johnson, R. A. Lodder, S. G. Parker, M. J. Cole, R. Ewing, Y. Efendiev, R. Lazarov, and G. Qin, Contaminant Identification in Water, in Computational Science - ICCS 2006, V. N. Alexandrov, G. D. van Albada, P. M. A. Sloot, and J. J. Dongarra (eds.), Springer-Verlag, Berlin, 3 (2006), pp. 393-400.     PDF

90. C. C. Douglas, J. D. Beezley, J. Coen, Deng Li, Wei Li, A. K. Mandel, J. Mandel, G. Qin, and A. Vodacek, Demonstrating the Validity of a Wildfire DDDAS, in Computational Science - ICCS 2006, V. N. Alexandrov, G. D. van Albada, P. M. A. Sloot, and J. J. Dongarra (eds.), Springer-Verlag, Berlin, 3 (2006), pp. 522-529.     PDF

91. C. C. Douglas, Y. Efendiev, R. Ewing, V. Ginting, and R. Lazarov, Dynamic data driven simulations in stochastic environments, Computing, 77 (2006), pp. 321-332.     PDF

92. C. C. Douglas, Deng Li, R. A. Lodder, J. D. Beezley, J. Mandel, R. E. Ewing, Y. Efendiev, G. Qin, M. Iskandarani, J. Coen, A. Vodacek, M. Kritz, and G. Haase, DDDAS approaches to wildland fire modeling, in Proceedings of the First China-Japan-Korea-Joint Conference on Numerical Mathematics, August 3-7, Sapporo, Japan, H. Okamoto, D. Sheen, Z. Shi, T. Ozawa, T. Sakajo, and Y. Chen (eds.), Hokkaido University Mathematics Report 112, 2006, pp. 23-26.     PDF

93. C. C. Douglas and Y. Efendiev, A dynamic data-driven application simulation framework for contaminant transport problems, Computer and Mathematics with Applications, 51 (2006), pp. 1633-1646.     PDF

94. Deng Li, C. C. Douglas, T. Kako, M. Suzuki, and I. Hagiwari, On a novel perturbation expansion method for coupled systems of acoustics and structures, Computer and Mathematics with Applications, 51 (2006), pp. 1689-1704.     PDF

95. C. C. Douglas, Deng Li, Y. Efendiev, R. Ewing, V. Ginting, and R. Lazarov, The use of sampling techniques in dynamic data driven simulations, in Proceedings of the 7th Joint China-Japan Joint Seminar, Z. Shi and H. Okamoto, eds., Science Press, Beijing, 2006, pp. 211-220.     PDF

96. C. C. Douglas, G. Allen, Y. Efendiev, and G. Qin, High performance computing issues for grid based dynamic data-driven applications, Proceedings of DCABES 2006, W. Xu and G. Wang (eds.), Shanghai University Press, Shanghai, 2006, pp. 175-178.     PDF

97. C. C. Douglas, R. A. Lodder, J. D. Beezley, J. Mandel, R. E. Ewing, Y. Efendiev, G. Qin, M. Iskandarani, J. Coen, A. Vodacek, M. Kritz, and G. Haase, DDDAS approaches to wildland fire modeling and contaminant tracking in Proceedings of the 2006 Winter Simulation Conference, L. F. Perrone, F. P. Wieland, J. Liu, B. G. Lawson, D. M. Nicol, and R. P. Fujimoto (eds.), INFORMS, 2006, pp. 2117-2124.     PDF

Papers in Progress

C. C. Douglas, Y. Efendiev, R. Ewing, V. Ginting, R. Lazarov, M. Cole, and G. Jones, Least squares approach for initial data recovery in dynamic data-driven applications simulations, to appear in Computation and Visualization in Science, 10 (2007).     PDF

J. L. Coen, J. D. Beezley, L. S. Bennethum, C. C. Douglas, R. Kremens, M. Kim, J. Mandel, G. Qin, and A. Vodacek, A wildland fire dynamic data-driven a pplication system, submitted to 11th Symposium on Integrated Observing and Assimilation Systems for the Atmosphere, Oceans, and Land Surface, January 14-17, 2007, San Antonio, American Meteological Society, 2007.     PDF

B. Dai, A. Urbas, C. C. Douglas, and R. A. Lodder, Molecular factor computing for predictive spectroscopy, submitted to Pharmaceutical Research, 2006.     PDF

J. Mandel, L. S. Bennethum, J. D. Beezley, J. L. Coen, C. C. Douglas, L. P. Franca, M. Kim, and A. Vodacek, A wildland fire model with data assimilation submitted to Mathematics and Computers in Simulation, 2006.     PDF

C. C. Douglas, D. Bansal, J. D. Beezley, L. S. Bennethum, S. Chakraborty, J. L. Coen, Y. Efendiev, R. E. Ewing, J. Hatcher, M. Iskandarani, C. R. Johnson, M. Kim, Deng Li, R. A. Lodder, J. Mandel, G. Qin, and A. Vodacek, Dynamic data-driven application systems for empty houses, contaminat tracking, and wildland fireline prediction, submitted to Proceedings of WoCo9, 2006, P. Gaffney (ed.), IFIP series, Springer-Verlag, Berlin, 2006.     PDF

Deng Li, C. C. Douglas, G. Haase, T. Kako, and I. Hagiwara, Application for a novel perturbation expansion method, submitted to the Journal of Algorithms an d Computational Technology, 2006.     PDF

NSF Workshop Reports

Report N1 was used to create the DDDAS part of the ITR program. Report N2 demonstrated that the DDDAS program was a roaring success.

N1. A. Deshmukh, C. C. Douglas, M. Ball, R. E. Ewing, C. R. Johnson, C. Kesselman, C. Lee, and W. Powell, Dynamic data-driven application systems: creating a dynamic and symbioticcoupling of application/simulations with measurements/experiments, 2000, 28 pages.      PDF      Workshop Web Page

N2. K. Baldridge, G. Biros, A. Chaturvedi, C. C. Douglas, M. Parashar, J. How, J. Saltz, E. Seidel, A. Sussman, January 2006 DDDAS Workshop Report, National Science Foundation, 2006.      PDF      Workshop Web Page

Orphans

These papers stand on their own, but are orphaned. Orphan O1 was accepted for publication by a now defunct German publisher. Orphans O2 and O3 were combined into a single paper, but are clearer in original form. Orphan O4 was deemed too theoretical (truly unbelievable) to publish in SISC.

O1. C. C. Douglas, U. Rüde, J. Hu, and M. L. Bittencourt, A guide to designing cache aware multigrid algorithms, in Proceedings of Concepts of Numerical Software, W. Hackbusch and G. Wittum (eds.), 1998.     PDF

O2. M. Bittencourt, C. C. Douglas, R. A. Feijóo, Non-nested and Non-structured Multigrid Methods Applied to Elastic Problems. Part I: The Two-Dimensional Case.     PDF

O3. M. Bittencourt, C. C. Douglas, R. A. Feijóo, Non-nested and Non-structured Multigrid Methods Applied to Elastic Problems. Part II: The Three-Dimensional Case.     PDF

O4. C. C. Douglas, G. Haase, and J. Hu, The state of quasi-unstructured grid cache aware multigrid.     PDF

Cheers,
Craig C. Douglas

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