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MATHEMATICAL ANALYSIS AND NUMERICAL METHODS FOR SCIENCE AND TECHNOLOGY. - Volume 4, Integral Equations and Numerical Methods
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Résumé
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
- ERROR ANALYSIS
- The Case of a Polyhedral Surface
- The Case of a Regular Closed Surface
- SINGULAR INTEGRALS
- Operator, Convolution Operator, Integral Operator
- The Hilbert Transformation
- Generalities on Singular Integral Operators
- Operators with Symbols, Operators on L²
- The Calderon-Zygmund Theorem
- Marcinkiewicz Spaces.
Caractéristiques
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Date de parution02/12/1999
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Editeur
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ISBN3-540-66100-X
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EAN9783540661009
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PrésentationBroché
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Nb. de pages493 pages
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Poids0.645 Kg
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Dimensions15,5 cm × 23,4 cm × 2,5 cm
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