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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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Cubic splines and approximate solution of singular integral equations
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by Erica Jen and R. P. Srivastav PDF
Math. Comp. 37 (1981), 417-423 Request permission

Abstract:

Of concern here is the numerical solution of singular integral equations of Cauchy type; i.e., equations involving principal value integrals. The unknown function is expressed as the product of an appropriate weight function and a cubic spline. The problem is reduced to a system of linear algebraic equations which is solved for the approximate values of the function at the knots. An estimate is provided for the maximum error of the approximate solution. Numerical results from the spline method are compared with those obtained using other methods.
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Math. Comp. 37 (1981), 417-423
  • MSC: Primary 65R20; Secondary 41A15, 45E05
  • DOI: https://doi.org/10.1090/S0025-5718-1981-0628705-4
  • MathSciNet review: 628705