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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 the spline collocation method for the single-layer heat operator equation
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by Martti Hamina and Jukka Saranen PDF
Math. Comp. 62 (1994), 41-64 Request permission

Abstract:

We consider a boundary element collocation method for the heat equation. As trial functions we use the tensor products of continuous piecewise linear splines with collocation at the nodal points. Convergence and stability is proved in the case where the spatial domain is a disc. Moreover, practical implementation is discussed in some detail. Numerical experiments confirm our results.
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Additional Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Math. Comp. 62 (1994), 41-64
  • MSC: Primary 65N38; Secondary 65R20
  • DOI: https://doi.org/10.1090/S0025-5718-1994-1208222-2
  • MathSciNet review: 1208222