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Numerical methods for ordinary differential equations: initial value problems

โœ Scribed by Higham, Desmond J.;Griffiths, David Francis

Publisher
Springer
Year
2011
Tongue
English
Leaves
274
Series
Springer undergraduate mathematics series
Category
Library
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โœฆ 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.

โœฆ Subjects

Differential equations--Numerical solutions;Differential equations -- Numerical solutions

๐Ÿ“œ SIMILAR VOLUMES

Numerical Methods for Ordinary Different
๐Ÿ“ Numerical Methods for Ordinary Differential Equations: Initial Value Problems
โœ David F. Griffiths, Desmond J. Higham (auth.) ๐Ÿ“‚ Library ๐Ÿ“… 2010 ๐Ÿ› Springer ๐ŸŒ English

<p><p>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 losi