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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.

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On a new class of additive (splitting) operator-difference schemes
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by Petr N. Vabishchevich PDF
Math. Comp. 81 (2012), 267-276 Request permission


Many applied time-dependent problems are characterized by an additive representation of the problem operator. Additive schemes are constructed using such a splitting and are associated with the transition to a new time level on the basis of the solution of more simple problems for the individual operators in the additive decomposition. We consider a new class of additive schemes for problems with additive representation of the operator at the time derivative. In this paper we construct and study the vector operator-difference schemes, which are characterized by a transition from the single initial evolution equation to a system of evolution equations.
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Additional Information
  • Petr N. Vabishchevich
  • Affiliation: Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 4 Miusskaya Sq., 125047 Moscow, Russia
  • Email:
  • Received by editor(s): May 12, 2010
  • Received by editor(s) in revised form: September 7, 2010
  • Published electronically: June 20, 2011
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Math. Comp. 81 (2012), 267-276
  • MSC (2010): Primary 65M06, 65M12
  • DOI:
  • MathSciNet review: 2833495