Robert Dautray et Jacques-Louis Lions - MATHEMATICAL ANALYSIS AND NUMERICAL METHODS FOR SCIENCE AND TECHNOLOGY. - Volume 1, Physical Origins and Classical Methods.

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

Name: MATHEMATICAL ANALYSIS AND NUMERICAL METHODS FOR SCIENCE AND TECHNOLOGY.
Price: 90.94 EUR
Availability: Instock
Author: Robert Dautray
ISBN: 9783540660972

Robert Dautray, Jacques-Louis Lions

Springer
Paru le : 02/12/1999

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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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.

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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.