Orthogonal Polynomials, Gaussian Quadratures, and PDEs

  • Authors:
  • James S. Ball

  • Affiliations:
  • -

  • Venue:
  • Computing in Science and Engineering
  • Year:
  • 1999

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Abstract

Orthogonal polynomials are important in mathematical analysis. They can be used to separate many partial differential equations (PDEs), which makes them particularly important in solving physical problems. Also, Gaussian integration provides a highly accurate and efficient algorithm for integrating functions.