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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
Lingua Inglese ● Formato PDF ● Pagine 484 ● ISBN 9783110926040 ● Dimensione 37.7 MB ● Casa editrice De Gruyter ● Città Berlin/Boston ● Pubblicato 2018 ● Edizione 1 ● Scaricabile 24 mesi ● Moneta EUR ● ID 6967989 ● Protezione dalla copia Adobe DRM
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