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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.


On the Crank-Nicolson anisotropic a posteriori error analysis for parabolic integro-differential equations
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by G. Murali Mohan Reddy and Rajen K. Sinha PDF
Math. Comp. 85 (2016), 2365-2390 Request permission


In this exposition, we derive two anisotropic error estimators for parabolic integro-differential equations in a two-dimensional convex polygonal domain. A continuous, piecewise linear finite element space is employed for the space discretization and the time discretization is based on the Crank-Nicolson method. The a posteriori contributions corresponding to space discretization is derived using the anisotropic interpolation estimates together with the Zienkiewicz-Zhu error estimator to approximate the error gradient. Two different continuous, piecewise quadratic reconstructions are used to obtain the error due to time discretization. Moreover, linear approximations of the Volterra integral term are used in a crucial way to estimate the quadrature error in the approximation of the Volterra integral term.
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Additional Information
  • G. Murali Mohan Reddy
  • Affiliation: Department of Mathematics, Indian Institute of Technology Guwahati, Guwahati - 781039, India
  • Email:
  • Rajen K. Sinha
  • Affiliation: Department of Mathematics, Indian Institute of Technology Guwahati, Guwahati - 781039, India
  • Email:
  • Received by editor(s): December 8, 2013
  • Received by editor(s) in revised form: April 1, 2015
  • Published electronically: December 30, 2015
  • Additional Notes: The second author is the corresponding author
  • © Copyright 2015 American Mathematical Society
  • Journal: Math. Comp. 85 (2016), 2365-2390
  • MSC (2010): Primary 65M15, 65M60
  • DOI:
  • MathSciNet review: 3511285