David M. Young, Jr.
Research Publications

Articles, Reports, etc.

  1. David M. Young, Jr. Iterative Methods for Solving Partial Difference Equations of Elliptic Type. Ph.D. thesis, Harvard University, Mathematics Department, Cambridge, MA, USA, May 1950.
  2. Garrett Birkhoff and David M. Young. Numerical quadrature of analytic and harmonic functions. Journal of Mathematical Physics, 29:217-221, 1950.
  3. Garrett Birkhoff, David M. Young, and E. H. Zarantonello. Effective conformal transformation of smooth, simple connected domains. Proceedings of National Academy of Sciences, 37:411-414, 1951.
  4. David M. Young. An error bound for the numerical quadrature of analytic functions. Journal of Mathematical Physics, 31:42-44, 1952.
  5. David M. Young. The use of conformal mapping to determine flows with free streamlines. In E. F. Beckenbach, editor. Construction and Applications of Conformal Maps, volume 18, pages 125-136. National Bureau of Standards Applied Mathematics Series. United States Government Printing Office, Washington, D.C., USA, 1952. (Proceedings of a symposium held on June 22-25, 1949, at the Institute for Numerical Analysis of the National Bureau of Standards at the University of California, Los Angeles, CA, USA.)
  6. David M. Young and Charles H. Warlick. On the Use of Richardson's Method for the Numerical Solution of Laplace's Equation on the ORDVAC. Ballistic Research Laboratories Memorandum Report 707, Aberdeen Proving Ground, Maryland, 1953.
  7. Garrett Birkhoff, David M. Young, and E. H. Zarantonello. Numerical methods in conformal mapping. In Fluid Dynamics, volume IV, pages 117-140. McGraw-Hill, New York, NY, USA, 1953.
  8. M. L. Juncosa and David M. Young. A uniform approximation to Fourier coefficients. Proceedings of American Mathematical Society, 4:373-374, 1953.
  9. David M. Young and J. L. Walsh. On the accuracy of the numerical solution of the Dirichlet problem by finite differences. Journal of Research National Bureau of Standards, 51:343-363, 1953.
  10. M. L. Juncosa and David M. Young. On the order of convergence of solutions of a difference equations to a solution of the diffusion equation. Journal of Society Industrial and Applied Mathematics, 1:111-135, 1953.
  11. David M. Young. On Richardson's method for solving linear systems with positive definite matrices. Journal of Mathematical Physics, 32:243-255, 1954.
  12. David M. Young. Iterative methods for solving partial difference equations of elliptic type. Transactions American Mathematical Society, 76:92-111, 1954.
  13. M. L. Juncosa and David M. Young. On the convergence of a solution of the equation of diffusion. Journal of Society Industrial and Applied Mathematics, 1:111-135, 1954.
  14. David M. Young and J. L. Walsh. On the degree of convergence of difference equations to the solution of the Dirichlet problem. Journal of Mathematical Physics, 33:80-93, 1954.
  15. David M. Young. ORDVAC solutions of the Dirichlet problem. Journal Association of Computing Machines, 2(3):137-161, July 1955.
  16. David M. Young. On the Solution of Linear Systems by Iteration. McGraw-Hill, New York, NY, USA, 1956.
  17. M. L. Juncosa and David M. Young. On the Crank-Nicolson procedure for solving parabolic partial equations. Proceedings of Cambridge Philosophical Society, 53:448-461, 1957.
  18. David M. Young and J. L. Walsh. Lipschitz conditions for harmonic and discrete harmonic functions. Journal of Mathematical Physics, 36:138-150, 1957.
  19. David M. Young. The Numerical Analysis Program at the University of Maryland. University of Wisconsin Press, Madison, WI, USA, 1957.
  20. Samuel D. Conte and David M. Young. Problems involving differential operations. In Eigenvalues in Modern Industry, volume III, 1957. (Proceedings of the Joint NYU-IBM Symposium on Digital Computing in the Aircraft Industry, New York, NY, USA, January 31 - February 1, 1957.)
  21. David M. Young. Error analysis for the method of false position. Report TNN-1, Computation Center, University of Texas at Austin, Austin, TX, USA, October 1958.
  22. David M. Young. The numerical solution of elliptic and parabolic partial differential equations. Report TNN-4, Computation Center, University of Texas at Austin, Austin, TX, USA, April 1959.
  23. David M. Young and Louis Ehrlich. Some numerical studies of iterative methods for solving elliptic difference equations. Report TNN-5, Computation Center, University of Texas at Austin, Austin, TX, USA, April 1959.
  24. David M. Young and Louis Ehrlich. Some numerical studies of iterative methods for solving elliptic difference equations. In Proceedings of a Symposium on Boundary Problems in Differential Equations, University of Wisconsin Press, Madison, WI, USA, 1960.
  25. David M. Young and Carl Bailey. Notes on Muller's method. Report TNN-2, Computation Center, University of Texas at Austin, Austin, TX, USA, October 1960.
  26. David M. Young. Notes on interpolation. Report TNN-3, Computation Center, University of Texas at Austin, Austin, TX, USA, November 1960.
  27. David M. Young. Numerical methods for solving problems in linear algebra. Report TNN-9, Computation Center, University of Texas at Austin, Austin, TX, USA, May 1960.
  28. David M. Young. The numerical solution of elliptic and parabolic partial differential equations. In Edwin F. Beckenbach, editor. Modern Mathematics for the Engineer, volume II, pages 373-419. McGraw-Hill, New York, NY, USA, 1961.
  29. David M. Young. Exact analysis of the Peaceman-Rachford method using a single iteration parameter for problems involving the Helmholtz equation in the rectangle. Report TNN-12, Computation Center, University of Texas at Austin, Austin, TX, USA, June 1961.
  30. David M. Young. Automonitor systems for the Control Data 1604 computer. Report TNN-14, Computation Center, University of Texas at Austin, Austin, TX, USA, August 1961.
  31. Garrett Birkhoff, R. S. Varga, and David M. Young. Alternating direction implicit methods. Report TNN-15, Computation Center, University of Texas at Austin, Austin, TX, USA, July 1961.
  32. David M. Young. The numerical solution of elliptic and parabolic partial differential equations. In John Todd, editor. Survey of Numerical Analysis, pages 380-438. McGraw-Hill, New York, NY, USA, 1962.
  33. Garrett Birkhoff, R. S. Varga, and David M. Young. Alternating direction implicit methods. In F. Alt and M. Rubinoff, editors. Advances in Computers, pages 189-273. Academic Press, New York, NY, USA, 1962.
  34. David M. Young and Thurman G. Frank. A survey of computer methods for solving elliptic and parabolic partial differential equations. Report TNN-20, Computation Center, University of Texas at Austin, Austin, TX, USA, December 1962.
  35. David M. Young and Thurman G. Frank. A survey of computer methods for solving elliptic and parabolic partial differential equations. ICC Bull., 2:3-61, 1963.
  36. David M. Young. On the numerical solution of partial differential equations by finite difference methods. Report TNN-21, Computation Center, University of Texas at Austin, Austin, TX, USA, January 1963.
  37. David M. Young and Mary Fanett Wheeler. Alternating direction methods for solving partial difference equations. Report TNN-30, Computation Center, University of Texas at Austin, Austin, TX, USA, December 1963.
  38. David M. Young and Mary Fanett Wheeler. Alternating direction methods for solving partial difference equations. In William F. Ames, editor. Nonlinear Problems of Engineering, pages 220-246. Academic Press, New York, NY, USA, 1964. Fifteen lectures delivered at a seminar conducted by the Dept. of Mechanical Engineering, University of Delaware, June 19-21, 1963.
  39. David M. Young, James A. Downing, and Mary F. Wheeler. On the use of the modified successive overrelaxation method with several relaxation factors. In Wayne A. Kalenich, editor. Proceedings of IFIP 65. Spartan Books, Inc., Washington, D.C., USA, 1965.
  40. W. F. Atchison, David M. Young, and et al.. An undergraduate program in computer--preliminary recommendations. Communications of the ACM, 9:543-556, 1965.
  41. David M. Young and John H. Dauwalder. Discrete representations of partial differential operators. Report TNN-46, Computation Center, University of Texas at Austin, Austin, TX, USA, May 1965.
  42. David M. Young and John H. Dauwalder. Discrete representations of partial differential operators. In Louis B. Rall, editor. Error in Digital Computation, volume 14-15, pages 181-217. Publication of the Mathematics Research Center, United States Army, University of Wisconsin. North-Holland, Amsterdam, The Netherlands, 1965. (Vol. 2 in Proceedings of Symposium at Mathematics Research Center, U.S. Army, University Wisconsin, Madison, WI, USA, 1965).
  43. David M. Young, Mary F. Wheeler, and James A. Downing. On the use of the modified successive overrelaxation method with several relaxation factors. Report TNN-39, Computation Center, University of Texas at Austin, Austin, TX, USA, January 1965.
  44. David M. Young. Convergence properties of the symmetric and unsymmetric successive overrelaxation methods and related methods. Report TNN-96, Computation Center, University of Texas at Austin, Austin, TX, USA, September 1969.
  45. David M. Young and David R. Kincaid. Norms of the successive overrelaxation methods. Report TNN-94, Computation Center, University of Texas at Austin, Austin, TX, USA, September 1969.
  46. David M. Young and Alvis E. McDonald. On the surveillance and control of number range and accuracy in numerical computation (with discussion). In A. J. H. Morrell, editor. Information Processing 68, Vol. 1: Mathematics, Software, pages 145-152. North-Holland, Amsterdam, The Netherlands, 1970. (Proceedings IFIP Congress, Edinburgh, Scotland, August 5-11, 1968.)
  47. Charles H. Warlick and David M. Young. A priori methods for the determination of the optimum relaxation factor for the successive overrelaxation method. Report TNN-105, Computation Center, University of Texas at Austin, Austin, TX, USA, May 1970.
  48. David M. Young. Convergence properties of the symmetric and unsymmetric successive overrelaxation methods and related methods. Mathematics of Computations., 24(112):793-807, October 1970.
  49. David M. Young, Jr. and Harold D. Eidson. On the determination of the optimum relaxation factor for the SOR method when the eigenvalues of the Jacobi method are complex. Report CNA-1, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, September 1970.
  50. David M. Young. Generalizations of property A and consistent ordering. Report CNA-6, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, November 1970.
  51. David M. Young. The solution of large systems of linear algebraic equations by iterative methods. Report CNA-19, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, May 1971.
  52. David R. Kincaid and David M. Young. Norms of the successive overrelaxation method. Report CNA-26, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, July 1971.
  53. David M. Young and David R. Kincaid. The modified successive overrelaxation method with fixed parameters. Report CNA-33, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, October 1971.
  54. David M. Young. A bound for the optimum relaxation factor for the successive overrelaxation method. Numerische Mathematik, 16:408-413, 1970/71. <
  55. David R. Kincaid and David M. Young. The modified successive overrelaxation method with fixed parameters. Mathematics of Computations., 26(119):705-717, July 1972.
  56. David M. Young. On the consistency of linear stationary iterative methods. SIAM Journal on Numerical Analysis, 9(1):89-96, March 1972.
  57. David M. Young. Generalizations of property A and consistent ordering. SIAM Journal on Numerical Analysis, 9(3):454-463, September 1972.
  58. David M. Young and David R. Kincaid. Linear stationary second-degree methods for the solution of large linear systems. Report CNA-52, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, October 1972.
  59. David M. Young. Second-degree iterative methods for the solution of large linear systems. Journal of Approximation Theory, 5:137-148, 1972. Collection of articles dedicated to J. L. Walsh on his 75th birthday. (Proceedings International Conference Approximation Theory, Related Topics and Applications II, University of Maryland, College Park, MD, USA, 1970.)
  60. David M. Young. On the solution of large systems of linear algebraic equations with sparse, positive definite matrices. In Werner C. Rheinboldt, editor. Numerical Solution of Systems of Nonlinear Algebraic Equations, pages 101-156. Academic Press, New York, NY, USA, 1972. NSF-CBMS Regional Conference, University of Pittsburgh, Pittsburgh, PA, USA, July 10-14, 1972.
  61. David M. Young. On the solution of large systems of linear algebraic equations with sparse, positive definite matrices. Report CNA-55, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, August 1972.
  62. David M. Young. A survey of modern numerical analysis. Report CNA-56, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, August 1972.
  63. David M. Young. On the accelerated SSOR method for solving elliptic boundary value problems. Report CNA-83, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, December 1973.
  64. David M. Young. On the accelerated SSOR method for solving large linear systems. Report CNA-92, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, September 1974.
  65. David M. Young. Iterative solution of linear and nonlinear systems derived from elliptic partial differential equations. Report CNA-93, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, October 1974.
  66. David M. Young. Iterative solution of linear systems arising from finite element techniques. Report CNA-101, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, May 1975.
  67. David M. Young. The development of a computer package for solving a class of partial differential equations by iterative methods. Report CNA-102, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, July 1975.
  68. David M. Young and Linda J. Hayes. The accelerated SSOR method for solving large linear systems. Report CNA-123, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, May 1977.
  69. L. A. Hageman, Franklin Luk, and David M. Young. On the acceleration of iterative methods. Report CNA-129, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, December 1977.
  70. David M. Young and David R. Kincaid. Survey of iterative methods. Report CNA-135, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, April 1978.
  71. David M. Young. A survey of modern numerical analysis. SIAM Review, 15:503-523, 1973.
  72. David M. Young. Solution of linear systems of equations. In J. G. Gram, editor. Numerical Solution of Partial Differential Equations, volume 2 of NATO Advanced Study Institutes Series C: Mathematical and Physical Sciences, pages 35-54. D. Reidel, Dordrecht, Boston, Lancaster, Tokyo, 1973. (Proceedings of the NATO Advanced Study Institute held at Kjeller, Norway, August 20-24, 1973.)
  73. David M. Young. On the accelerated SSOR method for solving elliptic boundary value problems. In G. A. Watson, editor. Conference on the Numerical Solution of Differential Equations,pages 196-206, volume 363 of Lecture Notes in Mathematics. Springer Verlag, Berlin, Heidelberg, New York, Tokyo, 1974. Conference held at University of Dundee, Dundee, Scotland, June, 1973.
  74. David R. Kincaid and David M. Young. The development of a computer package for solving a class of partial differential equations by iterative methods. Annales de l'Association Internationale pour le Calcul Analogique, 3:186-191, 1975.
  75. David M. Young. Iterative solution of linear and nonlinear systems derived from elliptic partial differential equations. In J. T. Oden, editor. Lecture Notes in Mathematics-Computational Mechanics, pages 265-296. Springer Verlag, Berlin, Heidelberg, New York, Tokyo, 1975.
  76. David M. Young. Iterative solution of linear systems arising from finite element techniques. In J. R. Whiteman, editor. Mathematics of Finite Elements and Applications II, pages 439-464. Academic Press, New York, NY, USA, 1976.
  77. David M. Young. On the accelerated SSOR method for solving large linear systems. Advances in Mathematics, 23(3):215-271, 1977.
  78. Roger G. Grimes, David R. Kincaid, William I. MacGregor, and David M. Young. ITPACK report: Adaptive iterative algorithms using symmetric sparse storage. Report CNA-139, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, August 1978.
  79. Roger G. Grimes, David R. Kincaid, and David M. Young. ITPACK 2.0 user's guide. Report CNA-150, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, August 1978.
  80. David R. Kincaid, Roger G. Grimes, William I. MacGregor, and David M. Young. ITPACK: Adaptive iterative algorithms using symmetric sparse storage. In Symposium on Reservoir Simulation, volume SPE 7687, pages 151-170, Society of Petroleum Engineers of AIME, Dallas, TX, USA, 1979. Symposium held in Denver, CO, USA, January 31, February 1-2, 1979.????
  81. David R. Kincaid and David M. Young. Survey of iterative methods. In Jack Belzer, Albert G. Holzman, and Allen Kent, editors. Encyclopedia of Computer Sciences and Technology, pages 354-391. Marcel Dekker, New York, NY, USA, 1979. 32 volumes (1975-1995).
  82. David R. Kincaid, Roger G. Grimes, and David M. Young. The use of iterative methods for solving large sparse PDE-related linear systems. Mathematics and Computers in Simulation, XXI:368-375, 1979.
  83. David R. Kincaid, David M. Young, and Roger G. Grimes. The use of iterative methods for solving large sparse PDE-related linear systems. In R. Vichnevetsky and R. S. Stepleman, editors. Advances in Computer Methods for Partial Differential Equations III, pages 29-32. IMACS, Department of Computer Science, Rutgers University, New Brunswick, NJ, USA, 1979. (Proceedings of the Third IMACS International Symposium on Computer Methods for Partial Differential Equations held at Lehigh University, Bethlehem, PA, USA., June 20-22, 1979.)
  84. David M. Young and Kang C. Jea. Some generalizations of conjugate gradient acceleration for nonsymmetric iterative methods. Report CNA-149, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, May 1979.
  85. Louis A. Hageman, Franklin T. Luk, and David M. Young. On the equivalence of certain iterative acceleration methods. SIAM Journal on Numerical Analysis, 17(6):852-873, December 1980.
  86. David M. Young and Kang C. Jea. Generalized conjugate gradient acceleration of non-symmetrizable iterative methods. Linear Algebra and Its Applications, 34:159-194, 1980.
  87. David R. Kincaid, Roger G. Grimes, and David M. Young. ITPACK 2A: A Fortran implementation of adaptive accelerated iterative methods for solving large sparse linear systems. Report CNA-164, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, October 1980.
  88. D. M. Young and D. R. Kincaid. The ITPACK package for large sparse linear systems. Report CNA-160, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, August 1980.
  89. D. R. Kincaid and D. M. Young. Adapting iterative algorithms developed for symmetric systems to nonsymmetric systems. Report CNA-161, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, August 1980.
  90. D. M. Young, L. J. Hayes, and K. C. Jea. Generalized conjugate gradient acceleration of iterative methods: Part I: The symmetrizable case. Report CNA-162, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, August 1980 (Revised Sept. 1981).
  91. D. M. Young and K. C. Jea. Generalized L-conjugate gradient acceleration of iterative methods: Part II: The nonsymmetrizable case. Report CNA-163, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, August 1980 (revised September 1981).
  92. David R. Kincaid, Roger G. Grimes, and David M. Young. ITPACK 2A: A Fortran implementation of adaptive accelerated iterative methods for solving large sparse linear systems. Report CNA-164, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, October 1980.
  93. David R. Kincaid and David M. Young. Adapting iterative algorithms developed for symmetric systems to nonsymmetric systems. In Martin Schultz, editor. Elliptic Problem Solvers, pages 353-359. Academic Press, New York, NY, USA, 1981.
  94. David M. Young and David R. Kincaid. The ITPACK package for large sparse linear systems. In Martin Schultz, editor. Elliptic Problem Solvers, pages 163-185. Academic Press, New York, NY, USA, 1981.
  95. David R. Kincaid, Roger G. Grimes, John R. Respess, and David M. Young. ITPACK 2B: A Fortran package for solving large sparse linear systems by adaptive accelerated iterative methods. Report CNA-173, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, September 1981. (Also, Report CCSN-44, Computation Center, University of Texas at Austin.).
  96. Roger G. Grimes, David R. Kincaid, John R. Respess, and David M. Young. Algorithm 586, ITPACK 2C: A Fortran package for solving large sparse linear systems by adaptive accelerated iterative methods. ACM Transactions on Mathematical Software, 8(3):302-322, 1982.
  97. David R. Kincaid, Thomas C. Oppe, and David M. Young. Adapting ITPACK routines for use on a vector computer. In Proceedings, International Symposium on Vector Processing Applications, Colorado State University, Fort Collins, CO, USA, August 1982.
  98. David R. Kincaid, Tom Oppe, and David M. Young. Adapting ITPACK routines for use on a vector computer. Report CNA-177, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, August 1982.
  99. Kang C. Jea and David M. Young. On the simplification of generalized conjugate-gradient methods for nonsymmetrizable linear systems. Linear Algebra and Its Applications, 52/53:399-417, 1983.
  100. David R. Kincaid and David M. Young. Adapting iterative algorithms for solving large sparse linear systems for efficient use on the CDC CYBER 205. In J. Patrick Gary, editor. CYBER 200 Applications Seminar, pages 147-160, volume 2295 of NASA Conference Publication, Washington, D.C., USA, 1983. NASA Scientific and Technical Information Research. (Proceedings of a seminar sponsored by NASA Goddard Space Flight Center and Control Data Corporation and held in Lanham, MD, USA, October 10-12, 1983.)
  101. David R. Kincaid and David M. Young. The ITPACK project: Past, present, and future. Report CNA-180, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, March 1983.
  102. David M. Young, K. C. Jea, and David R. Kincaid. Accelerating nonsymmetrizable iterative methods. Report CNA-181, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, March 1983.
  103. David M. Young and David R. Kincaid. The ITPACK software package. Report CNA-182, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, June 1983.
  104. David M. Young and Ru Huang. Some notes on complex successive overrelaxation. Report CNA-185, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, July 1983.
  105. David M. Young and Ru Huang. Some notes on complex Chebyshev acceleration. Report CNA-186, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, July 1983.
  106. David R. Kincaid and David M. Young. The ITPACK project: Past, present, and future. In Garrett Birkhoff and Arthur Schoenstadt, editors. Elliptic Problem Solvers II, pages 53-63. Academic Press, New York, NY, USA, 1984. (Proceedings of the Elliptic Problem Solvers Conference, sponsored by the Mathematics and Mechanics Branch, Office of Naval Research, held in Monterey, CA, USA, January 10-12, 1983.)
  107. David M. Young, David R. Kincaid, and Kang C. Jea. Accelerating nonsymmetric iterative methods. In Garrett Birkhoff and Arthur Schoenstadt, editors. Elliptic Problem Solvers II, pages 323-342. Academic Press, New York, NY, USA, 1984.
  108. David M. Young and David R. Kincaid. The ITPACK software package. In B. Engquist and T. Smedsass, editors. PDE Software: Modules, Interfaces and Systems, pages 193-206. Elsevier Science Publishers (North-Holland), New York, NY, USA, 1984. (Proceedings of the IFIP TC 2 Working Conference on PDE Software-Modules, Interfaces, and Systems, Söderköping, Sweden, August 22-26, 1983.)
  109. David R. Kincaid, Graham F. Carey, Thomas C. Oppe, Kamy Sepehrnoori, and David M. Young. Combining finite element and iterative methods for solving partial differential equations on advanced computer architectures. In R. Vichnevetsky and R. S. Stepleman, editors. Advances in Computer Methods for Partial Differential Equations V, pages 375-378. IMACS, Department of Computer Science, Rutgers University, New Brunswick, NJ, USA, 1984. (Proceedings of the Fifth IMACS International Symposium on Computer Methods for Partial Differential Equations, held at Lehigh University, Bethlehem, PA, USA, June 19-21, 1984.)
  110. David R. Kincaid and David M. Young. On the use of iterative methods with supercomputers for solving partial differential equations. In V. Lakshmikantham, editor. Trends in the Theory and Practice of Non-linear Analysis, pages 455-466. Elsevier Science Publishers (North-Holland), New York, NY, USA, 1984. (Proceedings of the VIth International Conference on Trends in the Theory and Practice of Non-Linear Analysis held at the University of Texas at Arlington, Arlington, TX, USA, June 18-22, 1984.)
  111. David R. Kincaid, Thomas C. Oppe, John R. Respess, and David M. Young. ITPACKV 2C user's guide. Report CNA-191, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, February 1984.
  112. David R. Kincaid, Thomas C. Oppe, and David M. Young. Vector computations for sparse linear systems. Report CNA-189, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, February 1984.
  113. David R. Kincaid, Graham F. Carey, Thomas C. Oppe, Kamy Sepehrnoori, and David M. Young. Combining finite element and iterative methods for solving partial differential equations on advanced computer architectures. Report CNA-192, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, April 1984.
  114. David M. Young and David R. Kincaid. On the use of iterative methods with supercomputers for solving partial differential equations. Report CNA-196, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, August 1984.
  115. David M. Young and Tsun-Zee Mai. ITPACK3A user's guide (preliminary version). Report CNA-197, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, October 1984.
  116. David R. Kincaid, Thomas C. Oppe, John R. Respess, and David M. Young. ITPACK solution modules. In John R. Rice and Ronald F. Boisvert, editors. Solving Elliptic Problems Using ELLPACK, Chapter 7, pages 237-258. Springer-Verlag, Berlin, Heidelberg, New York, Tokyo, 1985.
  117. David M. Young, Linda J. Hayes, Thomas C. Oppe, and David R. Kincaid. On the use of vector computers for solving sparse linear systems. In Proceedings of the Conference Vector and Parallel Processors for Scientific Computation, Roma, Italy, May 1985. Academia dei Lincei.
  118. David M. Young, Thomas C. Oppe, David R. Kincaid, and Linda J. Hayes. On the use of vector computers for solving large sparse linear systems. Report CNA-199, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, May 1985.
  119. Wayne D. Joubert and David M. Young. Necessary and sufficient conditions for the simplification of generalized conjugate gradient algorithms. Linear Algebra and Its Applications, 86/87:449-485, 1986.
  120. David R. Kincaid and David M. Young. A tutorial on finite difference methods and ordering of mesh points. In H. S. Stone and S. Winkler, editors. Fall Joint Computer Conference Proceedings, pages 556-559. IEEE, 1109 Spring Street, Suite 300, Silver Spring, MD, USA, 1986. (Held November 2-6, 1986, at INFOMART, Dallas, TX, USA. IEEE catalog number 86CH2345-7. Computer Society order number 743. ACM order number 401860.)
  121. David R. Kincaid, Thomas C. Oppe, and David M. Young. Vector computations for sparse linear systems. SIAM Journal for Discrete and Algebraic Methods, 7(1):99-112, 1986.
  122. David R. Kincaid, Thomas C. Oppe, and David M. Young. Vectorized iterative methods for partial differential equations. Communications in Applied Numerical Methods, 2(3):289-296, 1986.
  123. David M. Young, Kang C. Jea, and Tsun-Zee Mai. Preconditioned conjugate gradient algorithms and software for solving large sparse linear systems. In Biswa Nath Datta et al., editors. Linear Algebra in Signals, Systems, and Control, pages 260-283. SIAM, Philadelphia, PA, USA, 1986. (Proceedings of the Conference on Linear Algebra in Signals, Systems, and Control, Boston, MA, USA, August 12-14, 1986.)
  124. Wayne D. Joubert and David M. Young. Necessary and sufficient conditions for the simplification of generalized conjugate gradient algorithms. Report CNA-204, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, January 1986.
  125. Tsun-Zee Mai and David M. Young. ITPACK 3B user's guide (preliminary version). Report CNA-201, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, January 1986.
  126. Tsun-Zee Mai and David M. Young. Iterative algorithms and software for the solution of large sparse linear systems. Communications in Applied Numerical Methods, 4(3):435-456, 1987.
  127. David M. Young. A historical overview of iterative methods. Computer Physics Communications, 53:1-17, 1987.
  128. David M. Young and Tsun-Zee Mai. Iterative algorithms and software for solving large sparse linear systems. Report CNA-215Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, August 1987.
  129. David M. Young, Kang C. Jea, and Tsun-Zee Mai. Preconditioned conjugate gradient algorithms and software for solving large sparse linear systems. Report CNA-207, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, March 1987.
  130. David M. Young. A historical review of iterative methods. Report CNA-206, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, February 1987.
  131. David R. Kincaid and David M. Young. A brief review of the ITPACK project. Journal Computer & Applied Mathematic, 24:121-127, 1988.
  132. Kang C. Jea and David M. Young. On the effectiveness of adaptive Chebyshev acceleration for solving systems of linear equations. Journal Computer & Applied Mathematic, 24:33-54, 1988.
  133. Loyce M. Adams, Randall J. LeVeque, and David M. Young. Analysis of the SOR iteration for the 9-point Laplacian. SIAM Journal on Numerical Analysis, 25(5):1156-1180, October 1988.
  134. David R. Kincaid, Graham F. Carey, Kamy Sepehrnoori, and David M. Young. Vector and parallel iterative solution of large sparse systems for PDEs. In Science and Engineering on Cray Supercomputers, pages 25-44, Cray Research, Inc., Minneapolis, MN, USA, 1988. (Proceedings of the Third International Symposium, Minneapolis, MN, USA, September 9-11, 1987.)
  135. David R. Kincaid, Graham F. Carey, Kamy Sepehrnoori, and David M. Young. Vector and parallel iterative solution of large sparse systems for PDEs. Report CNA-222, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, August 1988.
  136. David M. Young. The search for `high-level' parallelism for the solution of large sparse linear systems. In Graham F. Carey, editor. Parallel Supercomputing: Methods, Algorithms and Applications, pages 89-105. Wiley series in parallel computing. John Wiley and Sons, Ltd., New York, London, Sydney, 1988.
  137. Thomas C. Oppe, Wayne D. Joubert, and David R. Kincaid. NSPCG user's guide, version 1.0: A package for solving large sparse linear systems by various iterative methods. Report CNA-216, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, April 1988.
  138. David M. Young and David R. Kincaid. A brief review of the ITPACK project. Report CNA-217, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, March 1988.
  139. Kang C. Jea and David M. Young. On the effectiveness of adaptive Chebyshev acceleration for solving systems of linear equations. Report CNA-218, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, March 1988.
  140. David M. Young. The search for `high level' parallelism for the solution of large sparse linear systems. Report CNA-221, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, July 1988.
  141. David R. Kincaid, Graham F. Carey, Kamy Sepehrnoori, and David M. Young. Vector and parallel iterative solution of large sparse systems for PDEs. Report CNA-222, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, August 1988.
  142. David M. Young and Tsun-Zee Mai. The search for omega. Report CNA-223, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, August 1988.
  143. Tsun-Zee Mai and David M. Young. A dual adaptive procedure for the automatic determination of iteration parameters for Chebyshev acceleration. Report CNA-224, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, August 1988.
  144. David M. Young. A historical review of iterative methods. Report CNA-225, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, August 1988.
  145. David R. Kincaid, Thomas C. Oppe, and David M. Young. ITPACKV 2D user's guide. Report CNA-232, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, May 1989.
  146. Tsun-Zee Mai and David M. Young. A dual adaptive procedure for the automatic determination of iteration parameters for Chebyshev acceleration. International Journal of Numerical Methods in Engineering, 27:483-499, 1989.
  147. David R. Kincaid, Thomas C. Oppe, and Wayne D. Joubert. An overview of NSPCG: A nonsymmetric preconditioned conjugate gradient package. In Daniel L. Boley, Donald G. Truhlar, Youcef Saad, Robert E. Wyatt, and Lee A. Collins, editors. Practical Iterative Methods for Large Scale Computations, pages 283-293. North-Holland, Amsterdam, 1989. (Reprinted from Computer Physics Communications, 53(3):283-293, 1989.).
  148. Bi Roubolo Vona and David M. Young. Parallel multilevel methods. In John R. Rice and Richard A. DeMillo, editors. Studies in Computer Science: In Honor Samuel D. Conte, pages 139-179. Plenum Press, New York, NY, USA, 1994. Purdue University conference proceedings honoring Dr. Conte.
  149. David R. Kincaid, Thomas C. Oppe, and David M. Young. ITPACKV 2D user's guide. Report CNA-232, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, May 1989.
  150. David M. Young. A historical review of iterative methods. In Stephen G. Nash, editor. A History of Scientific Computing, pages 180-194. Addison-Wesley and ACM Press, Addison-Wesley and New York, NY, USA, 1990.
  151. David M. Young and Tsun-Zee Mai. The search for omega. In David R. Kincaid and Linda J. Hayes, editors. Iterative Methods for Large Linear Systems, pages 293-311. Academic Press, New York, NY, USA, 1990. Papers from a conference held Oct. 19-21, 1988, Austin, TX, USA, in honor of Professor David M. Young, Jr., on his 65th birthday and hosted by the Center for Numerical Analysis of the University of Texas at Austin.
  152. David M. Young and Bi Roubolo Vona. Parallel multilevel methods. Report CNA-243 Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, May 1990.
  153. David M. Young and David R. Kincaid. Linear stationary second-degree methods for solution of large linear systems. Report CNA-244, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, July 1990.
  154. David R. Kincaid and David M. Young. Stationary second-degree iterative methods and recurrences. Report CNA-250, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, February 1991.
  155. Kang C. Jea and David M. Young. Commentaries on three papers of Cornelius Lanczos. Report CNA-252, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, October 1991.
  156. Kang C. Jea and David M. Young. A brief guide for using ITPACK software with the Cray Y-MP8/864 at UT-CHPC. Report CNA-P-1, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, March 1991.
  157. David R. Kincaid and David M. Young. Stationary second-degree iterative methods and recurrences. In R. Beauwens and R. De Groen, editors. Iterative Methods in Linear Algebra, pages 27-47. Elsevier Science Publishers (North-Holland), New York, NY, USA, 1992.
  158. David M. Young and Bi Roubolo Vona. On the use of rational iterative methods for solving large sparse linear systems. Applied Numerical Mathematics, 10(3-4):261-278, 1992. A Festschrift to honor Professor Garrett Birkhoff on his 80th birthday.
  159. Kang C. Jea and David M. Young. On the method of minimized iterations for solving sparse linear systems. Report CNA-257, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, August 1992.
  160. Kang C. Jea and David M. Young. Lanczos-type methods for solving nonsymmetric linear systems. In Makoto Natori and T. Nodera, editors. Parallel Processing for Scientific Computing, volume 9 of Series on Advances in Numerical Methods for Large Sparse Sets of Linear Equations, pages 14-24. Keio University, Yokohama, Japan, 1993.
  161. David M. Young. Scientific computing and differential equations -- An introduction to numerical methods by Gene H. Golub and James M. Ortega. Bulletin of the American Mathematical Society, 28(2):397-397, April 1993.
  162. David R. Kincaid and David M. Young. Linear stationary second-degree methods for solution of large linear systems. In Th. M. Rassias, H. M. Srivastava, and A. Yanushauskas, editors. Topics in Polynomials of One and Several Variables and Their Applications, pages 609-629. World Scientific Publishing Co., Singapore, Philadelphia, River Edge, NJ, USA, 1993. Volume dedicated to the memory of P. L. Chebyshev (1821-1894).
  163. David R. Kincaid, Linda J. Hayes, and David M. Young. ITPACK: Then and now. In IMACS 13th World Congress on Computational and Applied Mathematics, Georgia Institute of Technology, IMACS, Department of Computer Science, Rutgers University, New Brunswick, NJ, USA, 1994.
  164. David R. Kincaid, Linda J. Hayes, and David M. Young. ITPACK: Past, present, and future. In Colorado Conference on Iterative Methods, volume 1, University of Colorado & Front Range Scientific Computations, Inc., Boulder, CO, USA, 1994.
  165. David M. Young and David R. Kincaid. Parallel implementation of a class of nonstationary alternating-type methods. Report CNA-272, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, November 1994.
  166. David M. Young, Shengyou Xiao, and Karen Baker. Periodically generated iterative methods for solving elliptic equations. Report CNA-273, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, December 1994.
  167. Shengyou Xiao, Karen R. Baker, and David M. Young. Periodically generated iterative methods for solving elliptic equations. Applied Numerical Mathematics, 19:375-387, 1995.
  168. David M. Young and David R. Kincaid. Parallel implementation of a class of nonstationary alternating-type methods. In D. Bainov and V. Covachev, editors. Proceedings of the Third International Colloquium on Numerical Analysis, pages 219-222. VSP, Utrecht, The Netherlands, 1995.
  169. David R. Kincaid and David M. Young. A note on parallel alternating-type iterative methods. Report CNA-276, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, May 1995.
  170. David M. Young and David R. Kincaid. On the parallel implementation of alternating-type iterative methods. Report CNA-277 (revised) , Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, August 1995.
  171. David M. Young and David R. Kincaid. A new class of parallel alternating-type iterative methods. Journal of Computational and Applied Mathematics, 74:331-344, 1996.
  172. Shengyou Xiao and David M. Young. Multiple coarse grid multigrid methods for solving elliptic problems. In Seventh Copper Mountain Conference on Multigrid Methods, volume 3339, pages 771-791. NASA Conference Proceedings, 1996.
  173. David R. Kincaid and David M. Young. Note on parallel alternating-type iterative methods. In S. D. Margenov and P. S. Vassilevski, editors. Iterative Methods in Linear Algebra II, pages 131-139. IMACS, Department of Computer Science, Rutgers University, New Brunswick, NJ, USA, 1996.
  174. David M. Young and David R. Kincaid. A new class of parallel alternating-type iterative methods. Report CNA-282, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, May 1996.
  175. Jen-Yuan Chen, David R. Kincaid, and David M. Young. Generalizations and modifications of the GMRES iterative method. Report CNA-286, Center for Numerical Analysis, University of Texas at Austin, Austin, TX, USA, July 1997.
  176. David M. Young. Garrett Birkhoff and applied mathematics. Notices of the American Mathematics Society, 44(11):1446-1450, 1997.
  177. Jen-Yuan Chen, David R. Kincaid, and David M. Young. MGMRES iterative method. In Junping Wang, Myron B. Allen III, Benito M. Chen, and Tarek Mathew, editors. Iterative Methods in Scientific Computation, pages 15-20. IMACS, Department of Computer Science, Rutgers University, New Brunswick, NJ, USA, 1998.
  178. Jen-Yuan Chen, David R. Kincaid, and David M. Young. GGMRES iterative method. In Junping Wang, Myron B. Allen III, Benito M. Chen, and Tarek Mathew, editors. Iterative Methods in Scientific Computation, pages 21-26. IMACS, Department of Computer Science, Rutgers University, New Brunswick, NJ, USA, 1998.
  179. David M. Young and Kang C. Jea. Commentary on Lanczos's `Solution of systems of linear equations by minimized iterations'. In (general editor) William R. Davis, (editors) Moody T. Chu, Patrick Dolan, James R. McConnell, Larry K. Norris, Eduardo Ortiz, Robert J. Plemmons, Don Ridgeway, B. K. P. Scaife, William J. Stewart, James W. York, Jr., (associate editors) Wesley O. Doggett, Barbara M. Gellai, and Andre A. Gsponer (consulting editor) Carmine A. Prioli. Cornelius Lanczos Collected Published Papers with Commentaries, pages 3-149-3-154. (College of Physical and Mathematical Sciences and Department of Physics, North Carolina State University, Raleigh, NC, USA, 1998. Proceedings of the Cornelius Lanczos International Centenary Conference held at North Carolina State University.}
  180. David M. Young and Kang C. Jea. Commentary on Lanczos's `Iterative solution of large-scale linear systems'. In (general editor) William R. Davis, (editors) Moody T. Chu, Patrick Dolan, James R. McConnell, Larry K. Norris, Eduardo Ortiz, Robert J. Plemmons, Don Ridgeway, B. K. P. Scaife, William J. Stewart, James W. York, Jr., (associate editors) Wesley O. Doggett, Barbara M. Gellai, and Andre A. Gsponer (consulting editor) Carmine A. Prioli. Cornelius Lanczos Collected Published Papers with Commentaries, pages 3-188-3-190.. College of Physical and Mathematical Sciences and Department of Physics, North Carolina State University, Raleigh, NC, USA, 1998.
  181. David M. Young and Kang C. Jea. Commentary on Lanczos's `Chebyshev polynomials in the solution of large-scale linear systems'. In (general editor) William R. Davis, (editors) Moody T. Chu, Patrick Dolan, James R. McConnell, Larry K. Norris, Eduardo Ortiz, Robert J. Plemmons, Don Ridgeway, B. K. P. Scaife, William J. Stewart, James W. York, Jr., (associate editors) Wesley O. Doggett, Barbara M. Gellai, and Andre A. Gsponer (consulting editor) Carmine A. Prioli. Cornelius Lanczos Collected Published Papers with Commentaries, pages 3-529-3-531. College of Physical and Mathematical Sciences and Department of Physics, North Carolina State University, Raleigh, NC, USA, 1998.
  182. Jen-Yuan Chen, David R. Kincaid, and David M. Young. Generalization and modifications of the GMRES iterative method. Numerical Algorithms, Vol. 21, No. 1-4, 1999.
  183. David M. Young and David R. Kincaid. Partial differential equations. In Anthony Ralston and David Hemmendinger, editors, Encyclopedia of Computer Science. International Thomson Publishing, 3rd edition, 1999.

[Home] [Ph.D.] [Profile] [Books] [Publications] [Students] [Courses] [Links]

20 August 2009