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Mathematics of the weatherpolygonal spline local-Galerkin methods on spheres /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Mathematics of the weatherby Jürgen Steppeler, Jinxi Li.
其他題名:	polygonal spline local-Galerkin methods on spheres /
作者:	Steppeler, Jurgen.
其他作者:	Li, Jinxi.
出版者:	Cham :Springer International Publishing :2022.
面頁冊數:	xvi, 319 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Atmospheric modelsMathematics.
電子資源:	https://doi.org/10.1007/978-3-031-07238-3
ISBN:	9783031072383$q(electronic bk.)

Mathematics of the weatherpolygonal spline local-Galerkin methods on spheres /
Steppeler, Jurgen.

Mathematics of the weatherpolygonal spline local-Galerkin methods on spheres /[electronic resource] :by Jürgen Steppeler, Jinxi Li. - Cham :Springer International Publishing :2022. - xvi, 319 p. :ill., digital ;24 cm. - Springer atmospheric sciences,2194-5225. - Springer atmospheric sciences..

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.

"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 modifying the mathematical methods used in such models. This includes Implementations in spherical geometry. The books also concentrates on elements of Numerical Weather Predication (NWP) and Computational Fluid Dynamics (CFD)

ISBN: 9783031072383$q(electronic bk.)

Standard No.: 10.1007/978-3-031-07238-3doiSubjects--Topical Terms:

930578
Atmospheric models
--Mathematics.

LC Class. No.: QC861.3 / .S74 2022

Dewey Class. No.: 551.51011

Mathematics of the weatherpolygonal spline local-Galerkin methods on spheres /
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