Geschäftskunden Kundenprogramme
Vor Ort
Merkzettel Warenkorb
Produktbild: Numerical Methods

Numerical Methods

Fr. 280.00

inkl. gesetzl. MwSt., Versandkostenfrei

Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

15.11.2010

Herausgeber

Jean-Michel Tanguy

Verlag

John Wiley & Sons Inc

Seitenzahl

352

Maße (L/B/H)

23.4/15.5/2.8 cm

Gewicht

726 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-1-84821-155-1

Beschreibung

Rezension

"An inventory of ground measurement instruments, which provide necessary input data for the various modeling tools described in the book, is drawn up, and mathematical models describing each field within the overall subject area are detailed by a series of system equations." (Live-PR (EN), 19 April 2011)

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

15.11.2010

Herausgeber

Jean-Michel Tanguy

Verlag

John Wiley & Sons Inc

Seitenzahl

352

Maße (L/B/H)

23.4/15.5/2.8 cm

Gewicht

726 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-1-84821-155-1

Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: gpsr@libri.de

Noch keine Bewertungen vorhanden

Verfassen Sie die erste Bewertung zu diesem Artikel

Helfen Sie anderen Kundinnen und Kunden durch Ihre Meinung.

Kundinnen und Kunden meinen

Bewertungen (0)
Die Leseprobe wird geladen.
  • Produktbild: Numerical Methods
  • Introduction xiii

    PART 1. GENERAL CONSIDERATIONS CONCERNING NUMERICAL TOOLS 1

    Chapter 1. Feedback on the Notion of a Model and the Need for Calibration 3
    Denis DARTUS

    1.1. "Static" and "dynamic" calibrations of a model 6

    1.2. "Dynamic" calibration of a model or data assimilation 10

    1.3. Bibliography 10

    Chapter 2. Engineering Model and Real-Time Model 11
    Jean-Michel TANGUY

    2.1. Categories of modeling tools 11

    2.2. Weather forecasting at Météo France 12

    2.3. Flood forecasting 18

    2.4. Characteristics of real-time models 23

    2.5. Environment of real-time platforms 25

    2.6. Interpretation of hydrological forecasting by those responsible for civil protection 27

    2.7. Conclusion 29

    2.8. Bibliography 30

    Chapter 3. From Mathematical Model to Numerical Model 31
    Jean-Michel TANGUY

    3.1. Classification of the systems of differential equations 32

    3.3. Discrete systems and continuous systems 40

    3.4. Equilibrium and propagation problems 41

    3.5. Linear and non-linear systems 43

    3.6. Conclusion 57

    3.7. Bibliography 57

    PART 2. DISCRETIZATION METHODS 59

    Chapter 4. Problematic Issues Encountered 61
    Marie-Madeleine MAUBOURGUET

    4.1. Examples of unstable problems 62

    4.2. Loss of material 63

    4.3. Unsuitable scheme 66

    4.4. Bibliography 69

    Chapter 5. General Presentation of Numerical Methods 71
    Serge PIPERNO and Alexandre ERN

    5.1. Introduction 71

    5.2. Finite difference method 72

    5.3. Finite volume method 77

    5.4. Finite element method 78

    5.5. Comparison of the different methods on a convection/diffusion problem 92

    5.6. Bibliography 93

    Chapter 6. Finite Differences 95
    Marie-Madeleine MAUBOURGUET and Jean-Michel TANGUY

    6.1. General principles of the finite difference method 95

    6.2. Discretization of initial and boundary conditions 102

    6.3. Resolution on a 2D domain 105

    Chapter 7. Introduction to the Finite Element Method 109
    Jean-Michel TANGUY

    7.1. Elementary FEM concepts and presentation of the section 109

    7.2. Method of approximation by finite elements 111

    7.3. Geometric transformation 114

    7.4. Transformation of derivation and integration operators 121

    7.5. Geometric definition of the elements 125

    7.6. Method of weighted residuals 128

    7.7. Transformation of integral forms 130

    7.8. Matrix presentation of the finite element method 133

    7.9. Integral form of We on the reference element 140

    7.10. Introduction of the Dirichlet-type boundary conditions 148

    7.11. Summary: implementation of the finite element method 151

    7.12. Application example: wave propagation 151

    7.13. Bibliography 158

    Chapter 8. Presentation of the Finite Volume Method 161Alexandre ERN and Serge PIPERNO, section 8.6 written by Dominique THIÉRY

    8.1. 1D conservation equations 162

    8.2. Classical, weak and entropic solutions 170

    8.3. Numerical solution of a conservation law 175

    8.4. Numerical solution of hyperbolic systems 183

    8.5. High-order, finite volume methods 194

    8.6. Application of the finite volume method to the flow development of groundwater 195

    8.7. Bibliography 210

    Chapter 9. Spectral Methods in Meteorology 213
    Jean COIFFIER

    9.1. Introduction 213

    9.2. Using finite series expansion of functions 214

    9.3. The spectral method on the sphere 216

    9.4. The spectral method on a biperiodic domain 227

    9.5. Bibliography 232

    Chapter 10. Numerical-Scheme Study 235
    Jean-Michel TANGUY

    10.1. Reminder of the notion of the numerical scheme 235

    10.2. Time discretization 236

    10.3. Space discretization 240

    10.4. Scheme study: notions of consistency, stability and convergence 241

    10.5. Bibliography 264

    Chapter 11. Resolution Methods 267
    Marie-Madeleine MAUBOURGUET

    11.1. Temporal integration methods 268

    11.2. Linearization methods for non-linear systems 270

    11.3. Methods for solving linear systems AX = B 271

    11.4. Bibliography 272

    PART 3. INTRODUCTION TO DATA ASSIMILA