On Computing Smooth, Singular, and Nearly Singular Integrals on Implicitly Defined Surfaces

<p>We present numerical methods for the approximation of smooth, singular, and nearly singular integrals on implicitly defined surfaces. We begin with a high-order quadrature formula for an integral over a compact smooth implicitly defined hypersurface. Our high-order formula is novel in tha...

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Bibliographic Details
Main Author: Wilson, Jason R.
Other Authors: Beale, J. Thomas
Published: 2010
Subjects:
Online Access:http://hdl.handle.net/10161/3025