Retarded Potentials and Time Domain Boundary Integral Equations

A Road Map

Nonfiction, Science & Nature, Mathematics, Differential Equations, Mathematical Analysis
Cover of the book Retarded Potentials and Time Domain Boundary Integral Equations by Francisco-Javier Sayas, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Francisco-Javier Sayas ISBN: 9783319266459
Publisher: Springer International Publishing Publication: April 12, 2016
Imprint: Springer Language: English
Author: Francisco-Javier Sayas
ISBN: 9783319266459
Publisher: Springer International Publishing
Publication: April 12, 2016
Imprint: Springer
Language: English

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 equations, including a systematic treatment of their numerical discretization using Galerkin (Boundary Element) methods in the space variables and Convolution Quadrature in the time variable. The first approach follows classical work started in the late eighties, based on Laplace transforms estimates. This approach has been refined and made more accessible by tailoring the necessary mathematical tools, avoiding an excess of generality. A second approach contains a novel point of view that the author and some of his collaborators have been developing in recent years, using the semigroup theory of evolution equations to obtain improved results. The extension to electromagnetic waves is explained in one of the appendices.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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 equations, including a systematic treatment of their numerical discretization using Galerkin (Boundary Element) methods in the space variables and Convolution Quadrature in the time variable. The first approach follows classical work started in the late eighties, based on Laplace transforms estimates. This approach has been refined and made more accessible by tailoring the necessary mathematical tools, avoiding an excess of generality. A second approach contains a novel point of view that the author and some of his collaborators have been developing in recent years, using the semigroup theory of evolution equations to obtain improved results. The extension to electromagnetic waves is explained in one of the appendices.

More books from Springer International Publishing

Cover of the book From Cave Man to Cave Martian by Francisco-Javier Sayas
Cover of the book Constructions of Self and Other in Yoga, Travel, and Tourism by Francisco-Javier Sayas
Cover of the book The Thermoballistic Transport Model by Francisco-Javier Sayas
Cover of the book Advances in Human Error, Reliability, Resilience, and Performance by Francisco-Javier Sayas
Cover of the book Social Emergence in International Relations by Francisco-Javier Sayas
Cover of the book Vegetation of Central Asia and Environs by Francisco-Javier Sayas
Cover of the book Excessive Pricing and Competition Law Enforcement by Francisco-Javier Sayas
Cover of the book Theatre for Peacebuilding by Francisco-Javier Sayas
Cover of the book Fuzzy Pictures as Philosophical Problem and Scientific Practice by Francisco-Javier Sayas
Cover of the book Campaign Professionalism during Egypt’s 2012 Presidential Election by Francisco-Javier Sayas
Cover of the book From Cold War to Cyber War by Francisco-Javier Sayas
Cover of the book Beyond Databases, Architectures and Structures. Towards Efficient Solutions for Data Analysis and Knowledge Representation by Francisco-Javier Sayas
Cover of the book Online Damage Detection in Structural Systems by Francisco-Javier Sayas
Cover of the book Advances in Through-life Engineering Services by Francisco-Javier Sayas
Cover of the book Recent Advances in Computational Optimization by Francisco-Javier Sayas
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy