The Graduate Student's Guide to Numerical Analysis '98: Lecture Notes from the VIII EPSRC Summer School in Numerical Analysis / Edition 1

The Graduate Student's Guide to Numerical Analysis '98: Lecture Notes from the VIII EPSRC Summer School in Numerical Analysis / Edition 1

by Mark Ainsworth
     
 

This book contains detailed lecture notes on six topics at the forefront of current research in numerical analysis and applied mathematics. Each set of notes presents a self-contained guide to a current research area and has an extensive bibliography. In addition, most of the notes contain detailed proofs of the key results. The notes start from a level suitable for… See more details below

Overview

This book contains detailed lecture notes on six topics at the forefront of current research in numerical analysis and applied mathematics. Each set of notes presents a self-contained guide to a current research area and has an extensive bibliography. In addition, most of the notes contain detailed proofs of the key results. The notes start from a level suitable for first year graduate students in applied mathematics, mathematical analysis or numerical analysis, and proceed to current research topics. This book is also suitable for professional mathematicians who require a succinct and accurate account of recent research in areas parallel to their own. Recent graduates in mathematical sciences who are considering the possibility of a pursuing research towards a Ph.D. in applied mathematics of numerical analysis should also find this book a valuable guide.

Product Details

ISBN-13:
9783540657521
Publisher:
Springer Berlin Heidelberg
Publication date:
06/28/1999
Series:
Springer Series in Computational Mathematics, #26
Edition description:
1999
Pages:
252
Product dimensions:
6.10(w) x 9.25(h) x (d)

Table of Contents

Preface
A Simple Introduction to Error Estimation for Nonlinear Hyperbolic Conservation Laws1
Notes on Accuracy and Stability of Algorithms in Numerical Linear Algebra47
Numerical Analysis of Semilinear Parabolic Problems83
Integration Schemes for Molecular Dynamics and Related Applications119
Numerical Methods for Bifurcation Problems177
Spectra and Pseudospectra217

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