Green's Functions Potential Fields on Surfaces /

• Κύριοι συγγραφείς: Melnikov, Yuri A. (Συγγραφέας), Borodin, Volodymyr N. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Σειρά: Developments in Mathematics, 48
• Θέματα: Mathematics.; Differential equations.; Partial differential equations.; Numerical analysis.; Partial Differential Equations.; Ordinary Differential Equations.; Classical Mechanics.; Numerical Analysis.

 This book is comprehensive in its classical mathematical physics presentation, providing the reader with detailed instructions for obtaining Green's functions from scratch. Green's functions is an instrument easily accessible to practitioners who are engaged in design and exploitation of machines and structures in modern engineering practice. To date, there are no books available on the market that are devoted to the Green's function formalism for equations covered in this volume. The reader, with an undergraduate background in applied mathematics, can become an active user of the Green's function approach. For the first time, Green's functions are discussed for a specific class of problems dealing with potential fields induced in thin-wall structures and therefore, the reader will have first-hand access to a novel issue. This Work is accessible to researchers in applied mathematics, mechanics, and relevant disciplines such as engineering, as well as to upper level undergraduates and graduate students. 

 Preface -- Introduction -- 1. Green's Functions for ODE -- 2. Spherical Surface -- 3.Toroidal Surface -- 4. Compound Structures -- 5. Irregular Configurations -- A. Catalogue of Green's Functions -- References.