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Handbook on Green's Functions and Matrices
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About Handbook On Green's Functions And Matrices
In this book the author describes his own technique of constructing Green's functions and matrices for the elastostatic Lame's equations and provides examples of applications in applied mathematical physics. Designed for graduate and postgraduate students investigating such areas as elasticity, thermoelasticity, mechanics, heat conduction, electro- and magneto conduction, electronics, radio-physics, hydrodynamics, and conduction of moisture, the text will also be of interest to engineers and researchers working in these fields. Many problems and solutions are included while an accompanying CD-ROM features examples and applications of Green's functions for Poisson's equation, and 2D and 3D Green's matrices for Lame's equations. Contents: Preface; Introduction; PART I - THE BASIS OF INCOMPRESSIBLE INFLUENCE ELEMENTS METHOD: Integral Representations of Solutions in the Theory of Elasticity; Constructive Solutions for Green's Matrices in the Form of Integrals. PART II - HANDBOOK OF GREEN'S FUNCTIONS AND MATRICES: Green's Functions and Matrices for Two-Dimensional Domains; Green's Functions and Matrices for Three-Dimensional Domains. Notations; References; Index.
