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Certification of algorithm 700 numerical tests of the SLEIGN software for Sturm-Liouville problems

Published: 01 December 1991 Publication History
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References

[1]
BAILEY, P.B., GORDON, M K., AND SHAMPINE, L.F. Solving Sturm Liouville eigenvalue problems Sandia Laboratories Rep SAND76-0560, 1976.
[2]
BROWN, B.M., KIRBY, V G., AND PRYCE, J.D. Numerical determination of the Titchmarsh-Weyl m-coefficient and its applications to HELP inequalities. In Proceedings of the Royal Society London A. 426, 870 (Nov. 1989), 167-188.
[3]
ENRIGHT, W H., AND HULL, T. E Test results on imtial value methods for nonstiff ordinary differential equations. SIAM J. Numer. Anal. 13, 6 (Dec 1976), 944-961
[4]
FULTOn, C. T, AND PRUESS, S. Mathematical software for Sturm-Liouville problems. NSF Final Report for Grants DMS88 and DMS88-00839.
[5]
PRUESS, S Estimating the eigenvalues of Sturm-Liouvilte problems by approximating the differential equation. SIAM J Numer. Anal. 10, 1 (Mar. 1973), 55-68
[6]
SHAMPINE, L.F. Diagnosing stliIness for rtunge-Kutta methods. Southern Methodist Umv. Math Rep. 88-8, 1988.
[7]
SHAMPINE, L. F., AND GLADWELL, I. The next generation of Runge-Kutta codes. In Proceedings of the IMA Conference on Computatwnal Solution of O. D. E.'s (Imperial College, London, 1989), to be published by OUP
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PRYC~, J. D. The NAG Sturm-Liouville codes and some applications. NAG Newsl 3, 86 (Dec. 1986), 4-26.

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  • (2015)Reprint of Variable-step finite difference schemes for the solution of Sturm–Liouville problemsCommunications in Nonlinear Science and Numerical Simulation10.1016/j.cnsns.2014.10.01421:1-3(12-21)Online publication date: Apr-2015
  • (2015)Variable-step finite difference schemes for the solution of Sturm–Liouville problemsCommunications in Nonlinear Science and Numerical Simulation10.1016/j.cnsns.2014.05.03220:3(641-649)Online publication date: Mar-2015
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  1. Certification of algorithm 700 numerical tests of the SLEIGN software for Sturm-Liouville problems

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      cover image ACM Transactions on Mathematical Software
      ACM Transactions on Mathematical Software  Volume 17, Issue 4
      Dec. 1991
      118 pages
      ISSN:0098-3500
      EISSN:1557-7295
      DOI:10.1145/210232
      • Editor:
      • John R. Rice
      Issue’s Table of Contents

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      Association for Computing Machinery

      New York, NY, United States

      Publication History

      Published: 01 December 1991
      Published in TOMS Volume 17, Issue 4

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      Cited By

      View all
      • (2021)Numerical computation of the coefficients in exponential fittingNumerical Algorithms10.1007/s11075-020-01000-w87:3(1097-1106)Online publication date: 1-Jul-2021
      • (2015)Reprint of Variable-step finite difference schemes for the solution of Sturm–Liouville problemsCommunications in Nonlinear Science and Numerical Simulation10.1016/j.cnsns.2014.10.01421:1-3(12-21)Online publication date: Apr-2015
      • (2015)Variable-step finite difference schemes for the solution of Sturm–Liouville problemsCommunications in Nonlinear Science and Numerical Simulation10.1016/j.cnsns.2014.05.03220:3(641-649)Online publication date: Mar-2015
      • (2005)A Catalogue of Sturm-Liouville Differential EquationsSturm-Liouville Theory10.1007/3-7643-7359-8_12(271-331)Online publication date: 2005
      • (2001)Algorithm 810: The SLEIGN2 Sturm-Liouville CodeACM Transactions on Mathematical Software10.1145/383738.38373927:2(143-192)Online publication date: 1-Jun-2001
      • (2000)The Friedrichs Extension of Singular Differential OperatorsJournal of Differential Equations10.1006/jdeq.1999.3685160:2(404-421)Online publication date: Jan-2000
      • (1996)On 2D Bisection Method for Double EigenvalueProblemsJournal of Computational Physics10.1006/jcph.1996.0122126:1(91-98)Online publication date: 1-Jun-1996
      • (1993)Automatic solution of regular and singular vector Sturm-Liouville problemsNumerical Algorithms10.1007/BF021427414:1(65-99)Online publication date: Feb-1993

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