1st Edition
Integration and Cubature Methods A Geomathematically Oriented Course
531 Pages
31 B/W Illustrations
by
Chapman & Hall
531 Pages
31 B/W Illustrations
by
Chapman & Hall
Also available as eBook on:
In industry and economics, the most common solutions of partial differential equations involving multivariate numerical integration over cuboids include techniques of iterated one-dimensional approximate integration. In geosciences, however, the integrals are extended over potato-like volumes (such as the ball, ellipsoid, geoid, or the Earth) and their boundary surfaces which require specific... Read more
Introduction. Integration Based on 1D Algebraic Polynomials. Integration Based on 1D Periodical Polynomials. Integration Based on 1D Legendre Polynomials. Integration Based on qD Periodical Context. Summation Formulas Involving Polyharmonic Splines. Euler Summation and Sampling. Integration Based on 3D Spherical Polynomials. Integration Based on Spherical Polynomials. Discrepancy Method for Regular Surfaces.
Biography
Willi Freeden, Technical University of Kaiserslautern, Germany.
Martin Gutting, University of Siegen, Germany.
