Advances in Numerical Analysis: Large-Scale Matrix Problems and the Numerical Solution of Partial Differential Equations

Advances in Numerical Analysis: Large-Scale Matrix Problems and the Numerical Solution of Partial Differential Equations

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Overview

Advances in Numerical Analysis: Large-Scale Matrix Problems and the Numerical Solution of Partial Differential Equations by John Gilbert

This volume introduces advanced students and professionals to cutting-edge research in numerical analysis. Featuring a collection of contributors renowned for their expertise in the subject, the book focuses in particular on the use of parallel computers, both for solving large sets of linear equations and for calculating the eigensystems of large matrices. Issues related to the solution of such equations—such as the preconditioning of elliptic problems, the study of semi-conductors, methods for the solution of hydrodynamic problems—are discussed in detail. Written at a level both accessible to graduate students and stimulating for established researchers, this book will be welcomed by a wide range of people studying numerical analysis.

Product Details

ISBN-13: 9780198534631
Publisher: Oxford University Press, USA
Publication date: 01/28/1994
Series: Oxford Science Publications Series , #3
Pages: 224
Product dimensions: 6.38(w) x 9.50(h) x 0.78(d)

About the Author

Lancaster University

Lancaster University

Table of Contents

Part I: Large Scale Matrix Problems
1. The parallel solution of the symmetric Eigenvalue problem
2. Performance of LAPACK
3. Iterative methods for linear systems
Part II: Numerical Solution of Partial Differential Equations
4. Hierarchical preconditioners for elliptic partial differential equations
5. The mathematical study for elliptic partial differential equations
6. Hyperbolic systems

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