
- 776 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
Computer Solution of Large Linear Systems
About this book
This book deals with numerical methods for solving large sparse linear systems of equations, particularly those arising from the discretization of partial differential equations. It covers both direct and iterative methods. Direct methods which are considered are variants of Gaussian elimination and fast solvers for separable partial differential equations in rectangular domains. The book reviews the classical iterative methods like Jacobi, Gauss-Seidel and alternating directions algorithms. A particular emphasis is put on the conjugate gradient as well as conjugate gradient -like methods for non symmetric problems. Most efficient preconditioners used to speed up convergence are studied. A chapter is devoted to the multigrid method and the book ends with domain decomposition algorithms that are well suited for solving linear systems on parallel computers.
Frequently asked questions
- Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
- Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Information
Table of contents
- Cover image
- Title page
- Table of Contents
- Studies in Mathematics and ITS Applications
- Front Matter
- Copyright page
- Dedication
- Inside Front Cover
- Preface
- Chapter 1: Introductory Material
- Chapter 2: Gaussian Elimination for General Linear Systems
- Chapter 3: Gaussian Elimination for Sparse Linear Systems
- Chapter 4: Fast Solvers for Separable PDEs
- Chapter 5: Classical Iterative Methods
- Chapter 6: The Conjugate Gradient and Related Methods
- Chapter 7: Krylov Methods for Non–Symmetric Systems
- Chapter 8: Preconditioning
- Chapter 9: Multigrid Methods
- Chapter 10: Domain Decomposition and Multilevel Methods
- References
- Index