LEADER 03726nam 22006855 450 001 9910624377803321 005 20251113200443.0 010 $a9783031072383 010 $a3031072383 024 7 $a10.1007/978-3-031-07238-3 035 $a(MiAaPQ)EBC7123066 035 $a(Au-PeEL)EBL7123066 035 $a(CKB)25201405900041 035 $a(PPN)265857805 035 $a(MiAaPQ)EBC31851759 035 $a(Au-PeEL)EBL31851759 035 $a(OCoLC)1349280626 035 $a(DE-He213)978-3-031-07238-3 035 $a(EXLCZ)9925201405900041 100 $a20221024d2022 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematics of the Weather $ePolygonal Spline Local-Galerkin Methods on Spheres /$fby Jürgen Steppeler, Jinxi Li 205 $a1st ed. 2022. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2022. 215 $a1 online resource (328 pages) 225 1 $aSpringer Atmospheric Sciences,$x2194-5225 311 08$aPrint version: Steppeler, Jürgen Mathematics of the Weather Cham : Springer International Publishing AG,c2022 9783031072376 320 $aIncludes bibliographical references (pages 311-316) and index. 327 $aChapter 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. 330 $a"Mathematics of the Weather? details the mathematical techniques used to create numerical models of the atmosphere. It explains methods which are currently considered for practical use in models for the exaflop computers (10**19 operations per seconds). This book is a guide to developing and modifying the mathematical methods used in such models. This includes Implementations in spherical geometry. The books also concentrates on elements of Numerical Weather Predication (NWP) and Computational Fluid Dynamics (CFD). . 410 0$aSpringer Atmospheric Sciences,$x2194-5225 606 $aPhysical geography 606 $aMathematics 606 $aPhysics 606 $aEarth System Sciences 606 $aEarth System Sciences 606 $aApplications of Mathematics 606 $aClassical and Continuum Physics 615 0$aPhysical geography. 615 0$aMathematics. 615 0$aPhysics. 615 14$aEarth System Sciences. 615 24$aEarth System Sciences. 615 24$aApplications of Mathematics. 615 24$aClassical and Continuum Physics. 676 $a551.51011 676 $a551.51011 700 $aSteppeler$b Ju?rgen$01263788 702 $aLi$b Jinxi 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910624377803321 996 $aMathematics of the Weather$92962648 997 $aUNINA