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Frontmatter – CONTENTS – Introduction – PART I . ELEMENTS OF THE THEORY OF SINGULAR INTEGRAL EQUATIONS – Chapter 1. One-dimensional singular integrals – Chapter 2. One-dimensional singular integral equations – Chapter 3. Singular integral equations with multiple Cauchy-type integrals – PART II. REDUCING OF BOUNDARY PROBLEMS OF MATHEMATICAL PHYSICS AND SOME APPLIED FIELDS TO THE SINGULAR INTEGRAL EQUATIONS – Chapter 4. Boundary problems for Laplace and Helmholtz equations. Plane case – Chapter 5. Boundary problems for the Laplace and the Helmholtz equations. Spatial case – Chapter 6. Stationary problems of aerohydrodynamics. Plane case – Chapter 7. Stationary aerohydrodynamic problems. Spatial case – Chapter 8. Nonstationary aerohydrodynamic problems – Chapter 9. Determination of aerohydrodynamic characteristics – Chapter 10. Some electrostatic problems – Chapter 11. Some problems of mathematical physics – Chapter 12. Problems in elasticity theory – PART III. CALCULATION OF SINGULAR INTEGRAL VALUES – Chapter 13. Quadrature formulas of the method of discrete vortices for one-dimensional singular integrals – Chapter 14. Quadrature formulas of interpolation type for one-dimensional singular integrals and operators – Chapter 15. Quadrature formulas for multiple and multidimensional singular integrals – Chapter 16. Proving the Poincare-Bertrand formula with the help of quadrature formulas – PART IV. NUMERICAL SOLUTION OF SINGULAR INTEGRAL EQUATIONS – Chapter 17. Equations of the first kind. The numerical method of discrete vortex type – Chapter 18. Equations of the first kind. Interpolation methods – Chapter 19. Equations of the second kind. Interpolation methods – Chapter 20. Singular integral equations with multiple Cauchy integrals – PART V. DISCRETE MATHEMATICAL MODELS AND CALCULATION EXAMPLES – Chapter 21. Discrete vortex systems – Chapter 22. Discrete vortex method for plane stationary problems – Chapter 23. Method of discrete vortices for spatial stationary problems – Chapter 24. Method of discrete vortices in nonstationary problems of aerodynamics – Chapter 25. Numerical method of discrete singularities in electrodynamic problems and elasticity theory – References
Limba Engleză ● Format PDF ● Pagini 484 ● ISBN 9783110926040 ● Mărime fișier 37.7 MB ● Editura De Gruyter ● Oraș Berlin/Boston ● Publicat 2018 ● Ediție 1 ● Descărcabil 24 luni ● Valută EUR ● ID 6967989 ● Protecție împotriva copiilor Adobe DRM
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