BIT Numerical Mathematics

, Volume 19, Issue 4, pp 495–502

Evaluation of implicit formulas for the solution of ODEs

  • L. F. Shampine

DOI: 10.1007/BF01931266

Cite this article as:
Shampine, L.F. BIT (1979) 19: 495. doi:10.1007/BF01931266


Implicit formulas are quite popular for the solution of ODEs. They seem to be necessary for the solution of stiff problems. An acceptance test must be made of the approximate solution of the algebraic equations arising in the evaluation of an implicit formula. A reliable way to make this test is presented. It offers many practical advantages over current tests.

Copyright information

© BIT Foundations 1979

Authors and Affiliations

  • L. F. Shampine
    • 1
  1. 1.Numerical Mathematics Division 5642Sandia LaboratoriesAlbuquerqueU.S.A.

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