Quadrature over curved surfaces by extrapolation
Author:
J. N. Lyness
Journal:
Math. Comp. 63 (1994), 727-740
MSC:
Primary 65D32
DOI:
https://doi.org/10.1090/S0025-5718-1994-1257576-X
MathSciNet review:
1257576
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Abstract | References | Similar Articles | Additional Information
Abstract: In this paper we describe and justify a method for integrating over curved surfaces. This method does not require that the Jacobian be known explicitly. This is a natural extension of extrapolation (or Romberg integration) for planar squares or triangles.
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Additional Information
Keywords:
Cubature,
curvilinear triangle,
Euler-Maclaurin expansion,
extrapolation,
Romberg integration
Article copyright:
© Copyright 1994
American Mathematical Society