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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Runge-Kutta methods applied to fully implicit differential-algebraic equations of index $1$
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by Anne Kværnø PDF
Math. Comp. 54 (1990), 583-625 Request permission


In this paper we study the order of Runge-Kutta methods applied to differential-algebraic equations of index one. We derive general order conditions for the local order ${k_L}$, and give a convergence result, which shows that the order ${k_G}$ of the global error satisfies ${k_G} \geq {k_L} - 1$. We also describe some numerical experiments, which are in agreement with our results.
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Additional Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Math. Comp. 54 (1990), 583-625
  • MSC: Primary 65L06
  • DOI:
  • MathSciNet review: 1010600