Chapter X deals with mixed problems and the Tricomi equation. Chapter XI studies stationary problems with elliptic and hyperbolic domains. Chapter XII...
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Chapter X deals with mixed problems and the Tricomi equation. Chapter XI studies stationary problems with elliptic and hyperbolic domains. Chapter XII presents the finite element method. Concrete applications such as the elasticity of solid bodies, which is of fundamental importance to engineers, are given.
Chapter XIII gives a brief treatment of the numerical methods used for solving integral equations.
Sommaire
MIXED PROBLEMS AND THE TRICOMI EQUATION
Description and Formulation of the Problem
Methods for Solving Problems of Mixed Type
INTEGRAL EQUATIONS
SOLUTION METHODS USING ANALYTIC FUNCTIONS AND SECTIONALLY ANALYTIC FUNCTIONS
The Wiener-Hopf Method
Sectionally Analytic Functions
The Hilbert Problem
Application to Some Problems in Physics
INTEGRAL EQUATIONS ASSOCIATED WITH ELLIPTIC BOUNDARY VALUE PROBLEMS IN DOMAINS IN R3
Study of Certain Weighted Sobolev Spaces
Integral Equations Associated with the Boundary Value Problems of Electrostatics
Integral Equations Associated with the Helmholtz Equation
Integral Equations Associated with Problems of Linear Elasticity
Integral Equations Associated with the Stokes System
NUMERICAL METHODS FOR STATIONARY PROBLEMS
Principal Aspects of the Finite Element Method Applied to the Problem of Linear Elasticity
Treatment of Domains with Curved Boundaries
A Non Conforming Method of Finite Elements
Applications to the Problems of Plates and Shells
Approximations of Eigenvalues and Eigenvectors
An Example of the Approximate Calculation for a Problem
APPROXIMATION OF INTEGRAL EQUATIONS BY FINITE ELEMENTS
MATHEMATICAL ANALYSIS AND NUMERICAL METHODS FOR SCIENCE AND TECHNOLOGY. - Volume 4, Integral Equations and Numerical Methods est également présent dans les rayons