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Record Nr. |
UNINA9910624377803321 |
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Autore |
Steppeler Jürgen |
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Titolo |
Mathematics of the Weather : Polygonal Spline Local-Galerkin Methods on Spheres / / by Jürgen Steppeler, Jinxi Li |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 |
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ISBN |
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Edizione |
[1st ed. 2022.] |
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Descrizione fisica |
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1 online resource (328 pages) |
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Collana |
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Springer Atmospheric Sciences, , 2194-5225 |
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Disciplina |
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Soggetti |
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Physical geography |
Mathematics |
Physics |
Earth System Sciences |
Applications of Mathematics |
Classical and Continuum Physics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references (pages 311-316) and index. |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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"Mathematics of the Weather” details the mathematical techniques used |
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