Home Newsletter
News Books
Welcome to FreeScience.info Language/Lingua

Books 3054
· Book News
· Most clicked
· Least clicked

Search for a Book
HELP US TO HELP YOU
Add a new Book

Lectures on Three-Dimensional Elasticity

book
Language:
Author: P. G. Ciarlet
Url: http://www.math.tifr.res.in/~publ/ln/tifr71.pdf
Format: Pdf
Year: 1983
Category: Differential Equations
Pages: 135
Clicks: 1199

Description
When studying any physical problem in Applied Mathematics, three essential stage are involved. 1. Modeling: An appropriate mathematical model, based on the physics or the engineering of the situation, must be found. Usually these models are given a priori by the physicists or the engineers themselves. However, mathematicians can also play an important role in this process especially considering the increasing emphasis on non - linear models of physical problems. 2. Mathematical study of the model: A model usually involves a set of ordinary’ or partial differential equations or an (energy) functional to be minimized. One of the first tasks is to find a suitable functional space in which to study the problem. Then comes the study of existence and uniqueness or non -uniqueness of solutions. An important feature of linear theories is the existence of unique solutions depending continuously on the data (Hadamard’s definition of well - posed problems). But with non-linear problems, non-uniqueness is a prevalent phenomenon. For instance, bifurcation of solutions is of special interest. 3. Numerical analysis of the model: By this is meant the description of, and the mathematical analysis of, approximation schemes, which can be run on a computer in a ‘reasonable’ time to get ‘reasonably accurate’ answers.

Similar Books
Difference Equations to Differential Equations
Notes on Differential Equation
Nonlinear Analysis and Differential Equations: An Introduction
Ordinary Differential Equations and Dynamical Systems
Lectures on analytic differential equations
Quasi-linear elliptic problems
Finite Difference and Spectral Methods for Ordinary and Partial Differential Equations
Systémes différentiels
Fourier Analysis and Differential Equations
Harmonic Analysis Lecture Notes
Metrics on the Phase Space and Non-Selfadjoint Operators
Spherical Harmonics in p Dimensions
Notes on Measure and Integration

Home |  Authors | About | Contact Us |  Email 
 Copyright © 2002-2013 FreeScience.info. 

Best viewed with Mozilla 1.X 1024x768
free scientific books