MATHEMATICAL ANALYSIS AND NUMERICAL METHODS FOR SCIENCE AND TECHNOLOGY. - Volume 1, Physical Origins and Classical Methods

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Robert Dautray et Jacques-Louis Lions - MATHEMATICAL ANALYSIS AND NUMERICAL METHODS FOR SCIENCE AND TECHNOLOGY. - Volume 1, Physical Origins and Classical Methods.
The main physical examples examined in the 6 volumes are presented in Chapter 1: Classical Fluids and the Navier-Stokes System, Linear Elasticity, Linear... Lire la suite
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Résumé

The main physical examples examined in the 6 volumes are presented in Chapter 1: Classical Fluids and the Navier-Stokes System, Linear Elasticity, Linear Viscoelasticity, Electromagnetism and Maxwell's Equations, Neutronics, and Quantum Physics. Then a first examination of the mathematical models is given. Chapter II is devoted to the study of the Laplacian operator by methods using only classical tools.

Sommaire

  • PHYSICAL EXAMPLES
  • THE PHYSICAL MODELS
    • Classical Fluids and the Navier-Stokes System
    • Linear Elasticity
    • Linear Viscoelasticity
    • Electromagnetism and Maxwell's Equations
    • Neutronics
    • Equations of Transport and Diffusion
    • Quantum Physics
    • Indicial Calculus
    • Elementary Techniques of the Tensor Calculus
    • Notation, Language and Conventions in Mechanics
    • Ideas Concerning the Principle of Virtual Power
  • FIRST EXAMINATION OF THE MATHEMATICAL MODELS
    • The Principal Types of Linear Partial Differential Equations Seen in Chapter IA
    • Global Constraints Imposed on the Solutions of a Problem: Inclusion in a Function Space; Boundary Conditions; Initial Conditions
  • THE LAPLACE OPERATOR
    • Harmonic Functions
    • Newtonian Potentials
    • Classical Theory of Dirichlet's Problem
    • Capacities
    • Regularity
    • Other Methods of Solution of the Dirichlet Problem
    • Elliptic Equations of the Second Order.

Caractéristiques

  • Date de parution
    02/12/1999
  • Editeur
  • ISBN
    3-540-66097-6
  • EAN
    9783540660972
  • Présentation
    Broché
  • Nb. de pages
    719 pages
  • Poids
    0.94 Kg
  • Dimensions
    15,6 cm × 23,4 cm × 3,7 cm

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