Willi Freeden, Martin Gutting

Integration and Cubature Methods (eBook, PDF)

A Geomathematically Oriented Course

• Format: PDF

Produktbeschreibung

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 multi-variate approximate integration methods. Integration and Cubature Methods: A Geomathematically Oriented Course provides a basic foundation for students, researchers, and practitioners interested in precisely these areas, as well as breaking new ground in integration and cubature in geomathematics.

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Produktdetails

• Verlag: Taylor & Francis eBooks
• Seitenzahl: 531
• Erscheinungstermin: 22. November 2017
• Englisch
• ISBN-13: 9781351764766
• Artikelnr.: 50218222

Autorenporträt

Willi Freeden, Technical University of Kaiserslautern, Germany.



Martin Gutting, University of Siegen, Germany.

Inhaltsangabe

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.