Mathematics of the Weather Polygonal Spline Local-Galerkin Methods on Spheres
"Mathematics of the Weather” details the mathematical techniques used to create numerical models of the atmosphere. It explains methods which are currently considered for practical use in models for the exaflop computers (10**19 operations per seconds). This book is a guide to developing and mo...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2022, 2022
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| Edition: | 1st ed. 2022 |
| Series: | Springer Atmospheric Sciences
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Chapter 1. Simple Finite Difference Schemes
- Chapter 2. Basis Functions and Simple L-Galerkin Schemes in 1-d: Galerkin
- Chapter 3. Basis Functions for Triangular Meshes
- Chapter 4. 2-d Sparse Full and Sparse Grids for Quadrilaterals
- Chapter 5. Hexagonal Grids and Hexagonal Sparse Grids
- Chapter 6. Numerical Tests
- Chapter 7. Hexagonal Options
- Chapter 8. Construction of Platonic and Related Bodies on the Sphere
- Chapter 9. Euclids Lemma and the Construction of Quasi Regular Grids on Bilinear Surfaces
- Chapter 10. Differentiation on Curved Surfaces and Modeling on Spheres, Ellipsoids and the Potato Shaped Earth
- Chapter 11. The Construction of the Hexagonal Sub Grid for a Rhomboidal Grid on the Sphere: Sparse Hexagonal Grids
- Chapter 12. Tests on the Sphere
- Chapter 13. The 3-d Small Earth Test Program
- Chapter 14. Regularization of Rhomboidal and Hexagonal Grids
- Chapter 15. Introduction to the MOW Service Library. Chapter 16. Appendix: Tutorial Programs