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Methods of Discrete Vortices
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General Information
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Type.................: Ebook
Part Size............: 10,789,304 bytes




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Posted by............: ~tqw~

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Release Notes
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Method of Discrete Vortices presents a mathematical substantiation and in-depth
description of numerical methods for solving singular integral equations with
one-dimensional and multiple Cauchy integrals. The book also presents the
fundamentals of the theory of singular equations and numerical methods as
applied to solving problems in such branches of mechanics as aerodynamics,
elasticity, and electrodynamics.

Table of Contents

Author's Preface to English Edition
Contents
An Introduction to Singular Integral Equations in Aerodynamics 1
Introduction 21
Pt. I Quadrature Formulas for Singular Integers 27
Ch. 1 Quadrature Formulas of the Method of Discrete Vortices for One-
Dimensional Singular Integrals 29
Ch. 2 Interpolation Quadrature Formulas for One-Dimensional Singular Integrals
61
Ch. 3 Quadrature Formulas for Multiple and Multidimensional Singular Integrals
75
Ch. 4 Poincare-Bertrand Formula 115
Pt. II Numerical Solution of Singular Integral Equations 125
Ch. 5 Equation of the First Kind on a Segment and/or a System of
Nonintersecting Segments 127
Ch. 6 Equations of the First Kind on a Circle Containing Hilbert's Kernel 175
Ch. 7 Singular Integral Equations of the Second Kind 191
Ch. 8 Singular Integral Equations with Multiple Cauchy Integrals 217
Pt. III Application of the Method of Discrete Vortices to Aerodynamics:
Verification of the Method 243
Ch. 9 Formulation of Aerodynamic Problems and Discrete Vortex Systems 245
Ch. 10 Two-Dimensional Problems for Airfoils 259
Ch. 11 Three-Dimensional Problems 283
Ch. 12 Unsteady Linear and Nonlinear Problems 303
Ch. 13 Aerodynamic Problems for Blunt Bodies 323
Ch. 14 Some Questions of Regularization in the Method of Discrete Vortices and
Numerical Solution of Singular Integral Equations 343
Pt. IV Some Problems of the Theory of Elasticity, Electrodynamics, and
Mathematical Physics 359
Ch. 15 Singular Integral Equations of the Theory of Elasticity 361
Ch. 16 Numerical Method of Discrete Singularities in Boundary Value Problems of
Mathematical Physics 387
Ch. 17 Reduction of Some Boundary Value Problems of Mathematical Physics to
Singular Integral Equations 419
Conclusion 425
References 433
Index 439

Product Details

* ISBN: 0849393078
* ISBN-13: 9780849393075
* Format: Hardcover, 464pp
* Publisher: CRC Press
* Pub. Date: December 1992

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