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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.


Convergence of a continuous Galerkin method with mesh modification for nonlinear wave equations
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by Ohannes Karakashian and Charalambos Makridakis PDF
Math. Comp. 74 (2005), 85-102 Request permission


We consider space-time continuous Galerkin methods with mesh modification in time for semilinear second order hyperbolic equations. We show a priori estimates in the energy norm without mesh conditions. Under reasonable assumptions on the choice of the spatial mesh in each time step we show optimal order convergence rates. Estimates of the jump in the Riesz projection in two successive time steps are also derived.
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Additional Information
  • Ohannes Karakashian
  • Affiliation: Department of Mathematics, University of Tennessee, Knoxville, Tennessee 37966
  • Email:
  • Charalambos Makridakis
  • Affiliation: Department of Applied Mathematics, University of Crete, 714 09 Heraklion, Crete, Greece; IACM-FORTH, 711 10 Heraklion, Crete, Greece
  • MR Author ID: 289627
  • Email:
  • Received by editor(s): November 20, 2001
  • Received by editor(s) in revised form: May 7, 2003
  • Published electronically: April 20, 2004
  • © Copyright 2004 American Mathematical Society
  • Journal: Math. Comp. 74 (2005), 85-102
  • MSC (2000): Primary 65M60, 65M12
  • DOI:
  • MathSciNet review: 2085403