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Automatic Integration of Functional Differential Equations: An Approach

Published:01 December 1975Publication History
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References

  1. 1 CHRISTIANSEN, J. Numerical solution of ordinary s~multaneous d~fferentml equatmns of the first order using a method of step changes Numer. Math., 14, 4 (1970), 317-324 Erratum, Numer. Math. 15, 1 (1970).Google ScholarGoogle Scholar
  2. 2 CONTE, S D., AND DE BOOR, C. Elementary Numerical Analys,s An Algomthm,c Approach. McGraw-Hill, New York, 1972, pp. 233-235. Google ScholarGoogle Scholar
  3. 3 CRIER, C.W. Numerical methods for functional differential equations. In Delay D,fferent~al Eq~atzons and Their A pphcatwns, K Schmltt, Ed., Academic Press, New York, 1972, pp. i7-102.Google ScholarGoogle Scholar
  4. 4 ELDSTEIN, A. Discretizatlon methods for retarded ordinary differential equations. Doctoral Dlss, U. of Cahforma, Los Angeles, 1964.Google ScholarGoogle Scholar
  5. 5 FELDSTEIN, A, AND NEVES, K W High order methods for state dependent delay differential equations with non-smooth solutions. Presented at the SIAM Nat. Meeting, Hampton, Va., June 1973, Chronicle, SIAM Re~,., 16, 1 (1974), 134.Google ScholarGoogle Scholar
  6. 6 FELDSTEIN, A, AND SOPKA, J. Numerical methods for nonhnear Volterra lntegro-dlffe~entml equatmns. To appear.{Google ScholarGoogle Scholar
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  8. 8 LAPIDUS, L, AND SEINFELD, J. Numerwal Solt~tzon of Ordinary Dzfferentzal Equatwns. Academic Press, New York, 197i.Google ScholarGoogle Scholar
  9. 9 NEVES, K.W. Algorithm 497, Automatm integratmn of functional d~fferential equations. ACM Trans. Math. Software 1, 4 (Dec. 1975), 369-371 (introductory comment listing only); complete listmg in "Collected Algorithms from ACM," and available from ACM Algorithms Distribution Service, Houston, TX 77036. Google ScholarGoogle Scholar
  10. 10 NEVES, K.W. Numerical solution of functional differential equations with state dependent lags. Doctoral Diss., Arizona State U., Tempe, Ariz., Oct. 1973.Google ScholarGoogle Scholar
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  12. 12 SCHMITT, K, Ed. Delay and Functwnal D~fferent, al Equatwns and Their Apphcations. Academm Press, New York, 1972.Google ScholarGoogle Scholar
  13. 13 TAVERNINI, L. One step methods for the numerical solution of Volterra-functlonal differential equations. SIAM J. Numer. Anal. 8, 4 (1971), 786-795.Google ScholarGoogle Scholar
  14. 14 User's Manual, IMSL Library 3, Edltmn 3, Vol. 1. International Mathematical and Statistical Libraries, Inc., Houston, Tex., 1974, pp. D-l, D-2.Google ScholarGoogle Scholar

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          cover image ACM Transactions on Mathematical Software
          ACM Transactions on Mathematical Software  Volume 1, Issue 4
          Dec. 1975
          96 pages
          ISSN:0098-3500
          EISSN:1557-7295
          DOI:10.1145/355656
          Issue’s Table of Contents

          Copyright © 1975 ACM

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          Association for Computing Machinery

          New York, NY, United States

          Publication History

          • Published: 1 December 1975
          Published in toms Volume 1, Issue 4

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