|
|
libcats.org
Practical Fourier Analysis for Multigrid MethodsRoman WienandsBefore applying multigrid methods to a project, mathematicians, scientists, and engineers need to answer questions related to the quality of convergence, whether a development will pay out, whether multigrid will work for a particular application, and what the numerical properties are. Practical Fourier Analysis for Multigrid Methods uses a detailed and systematic description of local Fourier k-grid (k=1,2,3) analysis for general systems of partial differential equations to provide a framework that answers these questions.
This volume contains software that confirms written statements about convergence and efficiency of algorithms and is easily adapted to new applications. Providing theoretical background and the linkage between theory and practice, the text and software quickly combine learning by reading and learning by doing. The book enables understanding of basic principles of multigrid and local Fourier analysis, and also describes the theory important to those who need to delve deeper into the details of the subject. The first chapter delivers an explanation of concepts, including Fourier components and multigrid principles. Chapter 2 highlights the basic elements of local Fourier analysis and the limits to this approach. Chapter 3 examines multigrid methods and components, supported by a user-friendly GUI. Chapter 4 provides case studies for two- and three-dimensional problems. Chapters 5 and 6 detail the mathematics embedded within the software system. Chapter 7 presents recent developments and further applications of local Fourier analysis for multigrid methods.
Скачать книгу бесплатно (rar, 5.92 Mb)
Популярные книги за неделю:
Система упражнений по развитию способностей человека (Практическое пособие)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 818 Kb
Сотворение мира (3-х томник)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 817 Kb
Introduction to Functional Programming (Prentice Hall International Series in Computing Science)Автор: Richard Bird, Автор: Philip WadlerКатегория: Математика, Прикладная математика
Размер книги: 4.73 Mb
The Clean Coder: A Code of Conduct for Professional Programmers (Robert C. Martin Series)Автор: Robert C. Martin
Размер книги: 6.06 Mb
Только что пользователи скачали эти книги:
Шины. Некоторые проблемы эксплуатации и производстваАвтор: Ильясов Р.С. и др.
Размер книги: 6.74 Mb
Praxis Manned Spaceflight Log 1961-2006Автор: Tim Furniss, Автор: David J. Shayler, Автор: Michael D. Shayler
Размер книги: 20.63 Mb
An operator perspective on signals and systemsАвтор: Arthur Frazho, Автор: Wisuwat Bhosri
Размер книги: 2.33 Mb
Hermann Grassmann: BiographyАвтор: Hans-Joachim PetscheКатегория: M_Mathematics, MPop_Popular-level
Размер книги: 6.84 Mb
Ethnicity, Gender and Social ChangeАвтор: Rohit Barot, Автор: Harriet Bradley, Автор: Steve Fenton
Размер книги: 3.34 Mb
HarmonyАвтор: Heinrich Schenker (edited by Oswald Jonas and translated by Elisabeth M. Borgese)
Размер книги: 14.55 Mb
|
|
|