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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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Initial value methods for parabolic control problems
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by Ragnar Winther PDF
Math. Comp. 34 (1980), 115-125 Request permission

Abstract:

We study iterative methods for parabolic control problems with a Neumann boundary value control and where the observation is the final state. The methods are based on transforming the original control problem (which may have constraints on the control) into an equivalent problem of minimizing a strictly convex functional (no constraints). The methods are semidiscrete in the sense that we assume that parabolic initial value problems can be solved exactly.
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Additional Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Math. Comp. 34 (1980), 115-125
  • MSC: Primary 65K10; Secondary 49D05, 65Mxx
  • DOI: https://doi.org/10.1090/S0025-5718-1980-0551293-7
  • MathSciNet review: 551293