Numerical Methods for Ordinary Differential Equations Initial Value Problems /

Numerical Methods for Ordinary Differential Equations is a self-contained introduction to a fundamental field of numerical analysis and scientific computation. Written for undergraduate students with a mathematical background, this book focuses on the analysis of numerical methods without losing sig...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Griffiths, David F. (Author), Higham, Desmond J. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: London : Springer London : Imprint: Springer, 2010.
Edition:1st ed. 2010.
Series:Springer Undergraduate Mathematics Series,
Subjects:
Numerical analysis.
Numerical Analysis.
Online Access:Texto Completo
Table of Contents:
  • ODEs-An Introduction
  • Euler's Method
  • The Taylor Series Method
  • Linear Multistep Methods-I: Construction and Consistency
  • Linear Multistep Methods-II: Convergence and Zero-Stability
  • Linear Multistep Methods-III: Absolute Stability
  • Linear Multistep Methods-IV: Systems of ODEs
  • Linear Multistep Methods-V: Solving Implicit Methods
  • Runge-Kutta Method-I: Order Conditions
  • Runge-Kutta Methods-II Absolute Stability
  • Adaptive Step Size Selection
  • Long-Term Dynamics
  • Modified Equations
  • Geometric Integration Part I-Invariants
  • Geometric Integration Part II-Hamiltonian Dynamics
  • Stochastic Differential Equations.

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