Studies in Mathematics and Its Applications

Volume 28

By: Gerard Meurant

Write A Review

Paperback | 16 June 1999

At a Glance

Paperback
776 Pages

Dimensions(cm)
24.77 x 16.51 x 3.81

Paperback

$362.99

or 4 interest-free payments of $90.75 with

or

Ships in 10 to 15 business days

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.

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $0.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

More in Real Analysis

Textbooks in Mathematics

Volume 1

Hardcover

RRP $204.00

$179.75

12%
OFF

Universitext : Continuous and Integrable Functions - Franz Gmeineder

$201.99

Number Systems

Constructions and Properties

Hardcover

RRP $131.99

$118.99

10%
OFF

Real and Functional Analysis

Textbooks in Mathematics

Hardcover

RRP $204.00

$179.75

12%
OFF

A Course in Real Analysis

Textbooks in Mathematics

Hardcover

RRP $204.00

$179.75

12%
OFF

The Birth and Early Developments of Orthogonal Polynomials

A Chronological History

Hardcover

RRP $254.00

$238.75

Principles of Real Analysis - Charalambos D. Aliprantis

$420.75

15%
OFF

Common Zeros of Polynominals in Several Variables and Higher Dimensional Quadrature

Chapman & Hall/CRC Research Notes in Mathematics Series

Paperback

RRP $273.00

$236.99

13%
OFF

Elementary Classical Analysis - Jerrold E. Marsden

$61.75

17%
OFF

Complex Analysis : Princeton Lectures in Analysis - Elias M. Stein

$75.75

Series in Real Analysis

The Integrals Of Riemann, Lebesgue, Henstock-kurzweil, And Mcshane

Hardcover

RRP $75.99

$68.75

10%
OFF

Real Analysis with Economic Applications - Efe A. Ok

$341.75

14%
OFF

North-Holland Mathematical Library : Volume 1 - Corneliu Constantinescu

$177.75

38%
OFF

C*-Algebras and Operator Theory

Paperback

$188.75

Principles of Real Analysis

Paperback

$96.99

Introductory Material
Vector and matrices norms
Eigenvalues
Irreducibility and diagonal dominance
M--Matrices and generalizations
Splittings
Positive definite matrices
The graph of a matrix
Chebyshev polynomials
Discretization methods for partial diffential equations
Eigenvalues and Fourier analysis
Floating point arithmetic
Vector and parallel computers
BLAS and LAPACK
Bibliographical comments
Gaussian elimination for general linear systems
Introduction to Gaussian elimination
Gaussian elimination without permutations
Gaussian elimination with permutations (partial piv-oting)
Gaussian elimination with other pivoting strategies
Operation counts
Gaussian elimination for symmetric systems
The outer product algorithm
The bordering algorithm
The inner product algorithm
Coding the three factorization algorithms
Positive definite systems
Indefinite systems
Gaussian elimination for H-matrices
Block methods
Tridiagonal and block tridiagonal systems
Roundoff error analysis
Perturbation analysis
Scaling
Iterative refinement
Parallel solution of general linear systems
Bibliographical comments
Gaussian elimination for sparse linear systems
Introduction
The fill--in phenomenon
Graphs and fill--in for symmetric matrices
Characterization of the fill--in
Band and envelope numbering schemes for symmetric matrices
The Cuthill--McKee and reverse Cuthill--McKee orderings
Sloan's algorithm
Spectral schemes
The basic idea
The multilevel spectral algorithm
The Kumfert and Pothen hybrid algorithm
The Boman--Hendrickson multilevel algorithm
The minimum degree ordering
The nested dissection ordering
Generalization of dissection algorithms
General dissection algorithms
Graph bisection improvement techniques
The multisection algorithm
The multifrontal method
Non--symmetric sparse matrices
Numerical stability for sparse matrices
Parallel algorithms for sparse matrices
Bibliographical comments
Fast solvers for separable PDEs
Introduction
Fast Fourier Transform
The basics of the FFT
The complex FFT
The real transforms
FFT on vector and parallel computers
Stability of the FFT
Other algorithms
Double Fourier analysis
The Fourier tridiagonal Method
The cyclic reduction method
The FACR(l) method
The capacitance matrix method
Bibliographical comments
Classical iterative methods
Introduction
The Jacobi method
The Gauss-Seidel method
The SOR Method
The SSOR method
Alternating direction methods
Richardson methods
Acceleration techniques
Stability of classical iterative methods
Bibliographical comments
The conjugate gradient and related methods
Table of Contents provided by Publisher. All Rights Reserved.

Studies in Mathematics and Its Applications

Volume 28

At a Glance

Paperback

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Real Analysis

Textbooks in Mathematics

Volume 1

Universitext

Continuous and Integrable Functions

Practical Nonconvex Nonsmooth Optimization

Number Systems

Constructions and Properties

Real and Functional Analysis

Textbooks in Mathematics

A Course in Real Analysis

Textbooks in Mathematics

The Birth and Early Developments of Orthogonal Polynomials

A Chronological History

Principles of Real Analysis

Perfect Incompressible Fluids

C 14 C

Real Analysis

Modern Techniques and Their Applications

White Noise Distribution Theory

Probability and Stochastics Series

Common Zeros of Polynominals in Several Variables and Higher Dimensional Quadrature

Chapman & Hall/CRC Research Notes in Mathematics Series

Elementary Classical Analysis

Fourier Analysis

An Introduction

Complex Analysis

Princeton Lectures in Analysis

Real Analysis

Measure Theory, Integration, and Hilbert Spaces

Series in Real Analysis

The Integrals Of Riemann, Lebesgue, Henstock-kurzweil, And Mcshane

Real Analysis with Economic Applications

Real and Complex Analysis

Textbooks in Mathematics

North-Holland Mathematical Library

Volume 1

North-Holland Mathematical Library

Volume 2

Closer and Closer: Introducing Real Analysis

Introducing Real Analysis

C*-Algebras and Operator Theory

Principles of Real Analysis

This product is categorised by