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Full Description
Mathematical modelling and computer simulations are an essential part of the analytical toolset used by earth scientists. Computer simulations based on mathematical models are routinely used to study geophysical, environmental, and geological processes in many areas of work and research from geophysics to petroleum engineering and from hydrology to environmental fluid dynamics. Author Xin-She Yang has carefully selected the topics which will be of most value to students. Dr. Yang has recognized the need to be careful in his examples while being comprehensive enough to include important topics and popular algorithms. The book is designed to be 'theorem-free' while balancing formality and practicality. Using worked examples and tackling each problem in a step-by-step manner, the text is especially suitable for more advanced students of this aspect of earth sciences.
Contents
I Mathematical Methods 1. Mathematical Modelling; 2. Calculus and Complex Variables; 3. Vectors and Matrices; 4. ODEs and Integral Transforms; 5. PDEs and Solution Techniques; 6. Calculus of Variations; 7. Probability; 8. Geostatistics; II Numerical Algorithms. 9. Numerical Integration; 10. Finite Difference Method; 11. Finite Volume Method; 12. Finite Element Method; III Applications to Earth Sciences. 13. Reaction-Diffusion System; 14. Elasticity and Poroelasticity; 15. Flow in Porous Media. A. Mathematical Formulae. B. Matlab and Octave Programs. Bibliography. Index.NER(01): WOW
