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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.98.

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.


Two-step methods and bi-orthogonality
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by A. Iserles and S. P. Nørsett PDF
Math. Comp. 49 (1987), 543-552 Request permission


We study order and zero-stability of two-step methods of Obrechkoff type for ordinary differential equations. A relation between order and properties of mth degree polynomials orthogonal to ${x^{{\mu _i}}}$, $1 \leqslant i \leqslant m$, where $- 1 < {\mu _1} < {\mu _2} < \cdots < {\mu _m}$, is established. These polynomials are investigated, focusing on their explicit form, Rodrigues-type formulae and loci of their zeros.
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Additional Information
  • © Copyright 1987 American Mathematical Society
  • Journal: Math. Comp. 49 (1987), 543-552
  • MSC: Primary 65L05; Secondary 33A65
  • DOI:
  • MathSciNet review: 906187