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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 a dimensional reduction method. I. The optimal selection of basis functions
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by M. Vogelius and I. Babuška PDF
Math. Comp. 37 (1981), 31-46 Request permission

Abstract:

This paper is the first in a series of three, which analyze an adaptive approximate approach for solving $(n + 1)$-dimensional boundary value problems by replacing them with systems of equations in n-dimensional space. In this approach the unknown functions of $(n + 1)$ variables are projected onto finite linear combinations of functions of just n variables. This paper shows how the coefficients of these linear combinations can be chosen optimally.
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Math. Comp. 37 (1981), 31-46
  • MSC: Primary 65N99; Secondary 65J10
  • DOI: https://doi.org/10.1090/S0025-5718-1981-0616358-0
  • MathSciNet review: 616358