Skip to main content
SpringerLink
Log in

Mathematics of the Weather

Polygonal Spline Local-Galerkin Methods on Spheres

  • Textbook
  • © 2022

Overview

Authors:
  1. Jürgen Steppeler

    1. Helmholtz-Zentrum Hereon, Climate Service Center Germany (GERICS), Hamburg, Germany

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Jinxi Li

    1. Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing, China

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • The book comes with an Appendix of tutorial programs
  • Details mathematical techniques used to create numerical models of the atmosphere
  • Will appeal to researchers and industry specialists working on the creation of fluid models

Part of the book series: Springer Atmospheric Sciences (SPRINGERATMO)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 69.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 89.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 119.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (10 chapters)

  1. Front Matter

    Pages i-xvi
    Download chapter PDF

  2. Introduction

    • Jürgen Steppeler, Jinxi Li
    Pages 1-21

  3. Simple Finite Difference Procedures

    • Jürgen Steppeler, Jinxi Li
    Pages 23-62

  4. Local- Galerkin Schemes in 1D

    • Jürgen Steppeler, Jinxi Li
    Pages 63-125

  5. 2D Basis Functions for Triangular and Rectangular Meshes

    • Jürgen Steppeler, Jinxi Li
    Pages 127-161

  6. Finite Difference Schemes on Sparse and Full Grids

    • Jürgen Steppeler, Jinxi Li
    Pages 163-201

  7. Full and Sparse Hexagonal Grids in the Plane

    • Jürgen Steppeler, Jinxi Li
    Pages 203-221

  8. Platonic and Semi- Platonic Solids

    • Jürgen Steppeler, Jinxi Li
    Pages 223-246

  9. Numerical Tests

    • Jürgen Steppeler, Jinxi Li
    Pages 247-267

  10. Summary and Outlook

    • Jürgen Steppeler, Jinxi Li
    Pages 269-282

  11. Examples of Program

    • Jürgen Steppeler, Jinxi Li
    Pages 283-297

  12. Back Matter

    Pages 299-319
    Download chapter PDF
Back to top

Keywords

About this book


"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).   


Authors and Affiliations

  • Helmholtz-Zentrum Hereon, Climate Service Center Germany (GERICS), Hamburg, Germany

    Jürgen Steppeler

  • Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing, China

    Jinxi Li

About the authors

​Jurgen Steppeler obtained a PhD in  theoretical particle physics and mathematical Physics at the University of Goettingen, Germany. Then he joined the Research Departement of DWD in Offenbach as a specialist for mathematical methods for atmospheric models. During the 50 years since joining DWD he witnessed weather forecasts changing from a form of art involving some guesswork to reliable forecasts entirely produced by computers. He spent long times at other institutes, for example several visits to China. Other vistits were 8 years at ECMWF (European Center for Medium range Forecasts) 1 year at NCEP (National Center or Environmental Prediction, Washington D.C.) and a Series of more than 20 visits of one month each at FSU and NCAR, Boulder. He is a faculty member of University Bonn (Germany), where he supervised a number of PhD theses on mathematical methods in atmospheric models and gave lectures both on numerical methods and about the  cooperation between Universities and  operational institutes. He was Editor and served as reviewer for many scientific Journals. He was project manager of DWD's model LM, which since then was renamed COSMO and ICON and still is part of the numerical forecasting system of DWD. He founded a company to produce software for the cooperation of individuals and institutes on spherical grids and cut cells. 

Jinxi Li is an Associate Professor at International Center for Climate and Environment Sciences, Institute of Atmospheric Physics (IAP), Chinese Academy of Sciences. He has 6 years’ experience in developing numerical methods and dynamical framework of atmospheric models.  
Jinxi earned his Bachelor of Science degree in Mathematics and Applied Mathematics at Hunan Normal University in 2011. He was awarded his doctoral degree in 2016 from the University of Chinese Academy of Sciences. After graduation, he conducted a five-year postdoctoral research in IAP for the development of adaptive mesh atmospheric models collaborated with AMCG, Imperial College London and DAMTP, University of Cambridge. 

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation