Ebook: Integration and Cubature Methods: A Geomathematically Oriented Course
Author: Willi Freeden Martin Gutting
- Tags: Cubature formulas., Numerical integration., Differential equations Partial., Earth sciences -- Mathematics., Cubature formulas, Differential equations Partial, Earth sciences -- Mathematics, Numerical integration
- Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics
- Year: 2018
- Publisher: Chapman and Hall/CRC
- City: Boca Raton
- Edition: 1
- Language: English
- pdf
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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