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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.

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Some $A$-stable methods for stiff ordinary differential equations
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by R. K. Jain PDF
Math. Comp. 26 (1972), 71-77 Request permission

Abstract:

This paper gives some $A$-stable methods of order $2n$, with variable coefficients, based on Hermite interpolation polynomials, for the stiff system of ordinary differential equations, making use of $n$ starting values. The method is exact if the problem is of the form $y’(t) = Py(t) + Q(t)$, where $P$ is a constant and $Q(t)$ is a polynomial of degree $2n$.
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Additional Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Math. Comp. 26 (1972), 71-77
  • MSC: Primary 65L05
  • DOI: https://doi.org/10.1090/S0025-5718-1972-0303733-1
  • MathSciNet review: 0303733