A Graduate introduction to numerical methods : from the viewpoint of backward error analysis

This book provides an extensive introduction to numerical computing from the viewpoint of backward error analysis. The intended audience includes students and researchers in science, engineering and mathematics. The approach taken is somewhat informal owing to the wide variety of backgrounds of the...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Corless, Robert Malcolm, Fillion, Nicolas (VerfasserIn)
Format: Livre numérique
Sprache:Anglais
Veröffentlicht: New York, NY : Springer New York 2013.
Cham : Springer Nature
Online Zugang:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Anmerkung: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• A Graduate Introduction to Numerical Methods, Texte imprimé, 9781461484523
• A Graduate Introduction to Numerical Methods, Texte imprimé, 9781461484547
• A Graduate Introduction to Numerical Methods, Texte imprimé, 9781493953103
Inhaltsangabe:
  • Computer Arithmetic & Fundamental Concepts of Computation
  • Polynomials and Series
  • Rootfinding and Function Evaluation
  • Solving Ax = b
  • Solving Ax =l x
  • Structured Linear Systems.-Iterative Methods
  • Polynomial and Rational Interpolation
  • The Discrete Fourier Transform
  • Numerical Integration
  • Numerical Differentiation and Finite Differences
  • Numerical Solution of ODEs
  • Numerical Methods for ODEs
  • Numerical Solutions of Boundary Value Problems
  • Numerical Solution of Delay DEs
  • Numerical Solution of PDEs.