Retarded Potentials and Time Domain Boundary Integral Equations A Road Map /

• Κύριος συγγραφέας: Sayas, Francisco-Javier (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Σειρά: Springer Series in Computational Mathematics, 50
• Θέματα: Mathematics.; Integral equations.; Partial differential equations.; Computer mathematics.; Integral Equations.; Partial Differential Equations.; Computational Mathematics and Numerical Analysis.

This book offers a thorough and self-contained exposition of the mathematics of time-domain boundary integral equations associated to the wave equation, including applications to scattering of acoustic and elastic waves. The book offers two different approaches for the analysis of these integral equ...

Πίνακας περιεχομένων:

• The retarted layer potentials
• From time domain to Laplace domain
• From Laplace domain to time domain
• Convulution Quadrature
• The Discrete layer potentials
• A General Class of Second Order Differential Equations.- Time domain analysis of the single layer potential.- Time domain analysis of the double layer potential.- Full discretization revisited
• Patterns, Extensions, and Conclusions
• Appendices.