The Graduate Student’s Guide to Numerical Analysis ’98 : Lecture Notes from the VIII EPSRC Summer School in Numerical Analysis

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...

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Corporate Author: SpringerLink (Online service)
Other Authors: Ainsworth, Mark (Editor), Levesley, Jeremy (Editor), Marletta, Marco (Editor)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1999, 1999
Edition:1st ed. 1999
Series:Springer Series in Computational Mathematics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • A Simple Introduction to Error Estimation for Nonlinear Hyperbolic Conservation Laws
  • 1 Introduction
  • 2 Some Convection-Diffusion Problems
  • 3 Continuous Dependence for Nonlinear Convection-Diffusion
  • 4 Continuous Dependence for Nonlinear Convection
  • 5 A Posteriori Error Estimates for Continuous Approximations
  • 6 A Posteriori Error Estimates for Discontinuous Approximations
  • 7 Concluding Remarks
  • Notes on Accuracy and Stability of Algorithms in Numerical Linear Algebra
  • 1 Introduction
  • 2 Preliminaries
  • 3 Symmetric Indefinite Systems
  • 4 QR Factorization and Constrained Least Squares Problems
  • 5 The Singular Value Decomposition and Jacobi’s Method
  • Numerical Analysis of Semilinear Parabolic Problems
  • 1 The Continuous Problem
  • 2 Local a Priori Error Estimates
  • 3 Shadowing—First Approach
  • 4 A Posteriori Error Estimates
  • 5 Shadowing—Second Approach
  • Integration Schemes for Molecular Dynamics and Related Applications
  • 1 Introduction
  • 2 Newt