Quadrature on Simplices of Arbitrary Dimension



Noel J. Walkington
Carnegie Mellon University
Department of Mathematics
Pittsburgh, PA 15213
email: noelw@andrew.cmu.edu




ABSTRACT: We present Gauss type quadrature rules which will exactly integrate degree five and degree seven polynomials on a simplex $S_d \subset \Bbb{R}^d$, and conjecture a general form for quadrature rules exact on polynomials of specified odd degree.


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