Generalized Analytic Functions: Theory and Applications to Mechanics: International Society for Analysis, Applications and Computation, cartea 1
Editat de Helmut Florian, Klaus Hackl, Franz Josef Schnitzer, Wolfgang Tutschkeen Limba Engleză Paperback – 12 oct 2011
The contributions on generalized analytic functions (Part One) deal not only with problems in the complex plane (boundary value and initial value problems), but also related problems in higher dimensions are investigated where both several complex variables and the technique of Clifford Analysis are used. Part Two of the Proceedings is devoted to applications to Mechanics. It contains contributions to a variety of general methods such as L p-methods, boundary elements and asymptotic methods, and hemivariational inequalities. A substantial number of the papers of Part Two, however, deals with problems in Ocean Acoustics.
The papers of both parts of the Proceedings can be recommended to mathematicians, physicists, and engineers working in the fields mentioned above, as well as for further reading within graduate studies.
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Specificații
ISBN-13: 9781461333340
ISBN-10: 1461333342
Pagini: 340
Ilustrații: XXVI, 312 p.
Dimensiuni: 160 x 240 x 18 mm
Greutate: 0.48 kg
Ediția:1998
Editura: Springer Us
Colecția Springer
Seria International Society for Analysis, Applications and Computation
Locul publicării:New York, NY, United States
ISBN-10: 1461333342
Pagini: 340
Ilustrații: XXVI, 312 p.
Dimensiuni: 160 x 240 x 18 mm
Greutate: 0.48 kg
Ediția:1998
Editura: Springer Us
Colecția Springer
Seria International Society for Analysis, Applications and Computation
Locul publicării:New York, NY, United States
Public țintă
ResearchCuprins
Preface. Part I: Generalizations of Complex Analysis. 1. Generalized Analytic Functions; W. Tutschke. 2. Singular Integral Equations Approach; A. Dzhuraev. 3. Classes of Pseudo-Analytic Functions; P. Berglez. 4. Yugoslavian Contributions; M. Canak. 5. Reproducing Kernels; R.P. Gilbert. 6. Transmutations in Differential Rings; J. Püngel. 7. Initial Value Problems; A.O. Çelebi, U. Yüksel. 8. Associated Optimization Problems; W. Tutschke. 9. Optimization of the Set of Definition; S. Graubner. 10. Generalized Analytic Functions in Multidimensional Spaces; E. Obolashvili. 11. Overdetermined Systems; H. Begehr, A. Dzhuraev. 12. Boundary Behaviour; M. Balk, et al. 13. Applications to Differential Geometry; Z.D. Usmanov. 14. The Brothers Riesz Theorem; A. Cialdea. 15. On Exponential Series; A.Ju. Timofeev. Part II: Applications to Mechanics. 16. Boundary-Finite Element Method; G.C. Hsiao, M.D. Marcozzi. 17. Nonlinear Elastostatics; K. Taira. 18. Hemivariational Inequalities; Z. Naniewicz, P.D. Panagiotopoulos. 19. Underwater Acoustics; R.P. Gilbert, Z.J. Lin. 20. Asymptotic Methods; K. Hackl. 21. Comparison with Residue Calculus; J.L. Buchanan, R.P. Gilbert. 22. Stratified Media; Y. Xu. 23. Parabolic Conversation Laws; A. Jeffrey. 24. Hele-Shaw Flows; M. Reissig, F.Hübner. 25. Generalized Analytic Functions in Mechanics; E. Obolashvili. 26. Schrödinger Equation; R. Carroll.