1# Library to Find Best eBook for Read
Author : Alexander B. Movchan
Release : 2018
Genre : SCIENCE
Kind : eBook
Book Rating : 388/5 ( reviews)
Book Synopsis Mathematical Modelling of Waves in Multi-scale Structured Media by : Alexander B. Movchan
Download or read book Mathematical Modelling of Waves in Multi-scale Structured Media written by Alexander B. Movchan. This book was released on 2018. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alexander B. Movchan
Release : 2017-11-09
Genre : Mathematics
Kind : eBook
Book Rating : 420/5 ( reviews)
Book Synopsis Mathematical Modelling of Waves in Multi-Scale Structured Media by : Alexander B. Movchan
Download or read book Mathematical Modelling of Waves in Multi-Scale Structured Media written by Alexander B. Movchan. This book was released on 2017-11-09. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Modelling of Waves in Multi-Scale Structured Media presents novel analytical and numerical models of waves in structured elastic media, with emphasis on the asymptotic analysis of phenomena such as dynamic anisotropy, localisation, filtering and polarisation as well as on the modelling of photonic, phononic, and platonic crystals.
Author : Igor V. Andrianov
Release : 2021-04-22
Genre : Technology & Engineering
Kind : eBook
Book Rating : 197/5 ( reviews)
Book Synopsis Linear and Nonlinear Waves in Microstructured Solids by : Igor V. Andrianov
Download or read book Linear and Nonlinear Waves in Microstructured Solids written by Igor V. Andrianov. This book was released on 2021-04-22. Available in PDF, EPUB and Kindle. Book excerpt: This book uses asymptotic methods to obtain simple approximate analytic solutions to various problems within mechanics, notably wave processes in heterogeneous materials. Presenting original solutions to common issues within mechanics, this book builds upon years of research to demonstrate the benefits of implementing asymptotic techniques within mechanical engineering and material science. Focusing on linear and nonlinear wave phenomena in complex micro-structured solids, the book determines their global characteristics through analysis of their internal structure, using homogenization and asymptotic procedures, in line with the latest thinking within the field. The book’s cutting-edge methodology can be applied to optimal design, non-destructive control and in deep seismic sounding, providing a valuable alternative to widely used numerical methods. Using case studies, the book covers topics such as elastic waves in nonhomogeneous materials, regular and chaotic dynamics based on continualisation and discretization and vibration localization in 1D Linear and Nonlinear lattices. The book will be of interest to students, research engineers, and professionals specialising in mathematics and physics as well as mechanical and civil engineering.
Author : Daniele Bertaccini
Release : 2018-02-19
Genre : Mathematics
Kind : eBook
Book Rating : 177/5 ( reviews)
Book Synopsis Iterative Methods and Preconditioning for Large and Sparse Linear Systems with Applications by : Daniele Bertaccini
Download or read book Iterative Methods and Preconditioning for Large and Sparse Linear Systems with Applications written by Daniele Bertaccini. This book was released on 2018-02-19. Available in PDF, EPUB and Kindle. Book excerpt: This book describes, in a basic way, the most useful and effective iterative solvers and appropriate preconditioning techniques for some of the most important classes of large and sparse linear systems. The solution of large and sparse linear systems is the most time-consuming part for most of the scientific computing simulations. Indeed, mathematical models become more and more accurate by including a greater volume of data, but this requires the solution of larger and harder algebraic systems. In recent years, research has focused on the efficient solution of large sparse and/or structured systems generated by the discretization of numerical models by using iterative solvers.
Author : Jüri Engelbrecht
Release : 2015-03-05
Genre : Mathematics
Kind : eBook
Book Rating : 919/5 ( reviews)
Book Synopsis Questions About Elastic Waves by : Jüri Engelbrecht
Download or read book Questions About Elastic Waves written by Jüri Engelbrecht. This book was released on 2015-03-05. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the modelling of mechanical waves by asking the right questions about them and trying to find suitable answers. The questions follow the analytical sequence from elementary understandings to complicated cases, following a step-by-step path towards increased knowledge. The focus is on waves in elastic solids, although some examples also concern non-conservative cases for the sake of completeness. Special attention is paid to the understanding of the influence of microstructure, nonlinearity and internal variables in continua. With the help of many mathematical models for describing waves, physical phenomena concerning wave dispersion, nonlinear effects, emergence of solitary waves, scales and hierarchies of waves as well as the governing physical parameters are analysed. Also, the energy balance in waves and non-conservative models with energy influx are discussed. Finally, all answers are interwoven into the canvas of complexity.
