Symbolic Calculus Semilinear Hyperbolic Progressing Waves
Title | Symbolic Calculus Semilinear Hyperbolic Progressing Waves PDF eBook |
Author | Hassane Bougrini |
Publisher | Nova Publishers |
Total Pages | 122 |
Release | 2000 |
Genre | Mathematics |
ISBN | 9781560728788 |
The main purpose of this book is to give a self-contained synthesis of different results in the domain of symbolic calculus of conormal singularities of semilinear hyperbolic progressing waves. The authors deal generally with real matrix valued co-efficients and with real vector valued solutions, but the complex case is similar. They consider also N x N first order systems rather than high order scalar equations, because the polarisation properties of symbols are less natural in the latter case. Moreover, although they assume generally that the real characteristics are simple, the methods can give results for symmetric or symmetrisable first order hyperbolic systems.
Mathematical Reviews
Title | Mathematical Reviews PDF eBook |
Author | |
Publisher | |
Total Pages | 1770 |
Release | 2004 |
Genre | Mathematics |
ISBN |
American Book Publishing Record
Title | American Book Publishing Record PDF eBook |
Author | |
Publisher | |
Total Pages | 1714 |
Release | 2001 |
Genre | American literature |
ISBN |
Bibliographic Index
Title | Bibliographic Index PDF eBook |
Author | |
Publisher | |
Total Pages | 1110 |
Release | 2001 |
Genre | Bibliographical literature |
ISBN |
Book Review Index
Title | Book Review Index PDF eBook |
Author | |
Publisher | |
Total Pages | 1520 |
Release | 2003 |
Genre | Books |
ISBN |
Vols. 8-10 of the 1965-1984 master cumulation constitute a title index.
Mathematics of Wave Phenomena
Title | Mathematics of Wave Phenomena PDF eBook |
Author | Willy Dörfler |
Publisher | Springer Nature |
Total Pages | 330 |
Release | 2020-10-01 |
Genre | Mathematics |
ISBN | 3030471748 |
Wave phenomena are ubiquitous in nature. Their mathematical modeling, simulation and analysis lead to fascinating and challenging problems in both analysis and numerical mathematics. These challenges and their impact on significant applications have inspired major results and methods about wave-type equations in both fields of mathematics. The Conference on Mathematics of Wave Phenomena 2018 held in Karlsruhe, Germany, was devoted to these topics and attracted internationally renowned experts from a broad range of fields. These conference proceedings present new ideas, results, and techniques from this exciting research area.
Partial Differential Equations in Action
Title | Partial Differential Equations in Action PDF eBook |
Author | Sandro Salsa |
Publisher | Springer |
Total Pages | 701 |
Release | 2015-04-24 |
Genre | Mathematics |
ISBN | 3319150936 |
The book is intended as an advanced undergraduate or first-year graduate course for students from various disciplines, including applied mathematics, physics and engineering. It has evolved from courses offered on partial differential equations (PDEs) over the last several years at the Politecnico di Milano. These courses had a twofold purpose: on the one hand, to teach students to appreciate the interplay between theory and modeling in problems arising in the applied sciences, and on the other to provide them with a solid theoretical background in numerical methods, such as finite elements. Accordingly, this textbook is divided into two parts. The first part, chapters 2 to 5, is more elementary in nature and focuses on developing and studying basic problems from the macro-areas of diffusion, propagation and transport, waves and vibrations. In turn the second part, chapters 6 to 11, concentrates on the development of Hilbert spaces methods for the variational formulation and the analysis of (mainly) linear boundary and initial-boundary value problems.