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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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Estimation of the error in the reduced basis method solution of nonlinear equations
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by T. A. Porsching PDF
Math. Comp. 45 (1985), 487-496 Request permission

Abstract:

The reduced basis method is a projection technique for approximating the solution curve of a finite system of nonlinear algebraic equations by the solution curve of a related system that is typically of much lower dimension. In this paper, the reduced basis error is shown to be dominated by an approximation error. This, in turn, leads to error estimates for projection onto specific subspaces; for example, subspaces related to Taylor, Lagrange and discrete least-squares approximation.
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Additional Information
  • © Copyright 1985 American Mathematical Society
  • Journal: Math. Comp. 45 (1985), 487-496
  • MSC: Primary 65H10; Secondary 65G99
  • DOI: https://doi.org/10.1090/S0025-5718-1985-0804937-0
  • MathSciNet review: 804937