The Resource Numerical Methods for Ordinary Differential Equations : Initial Value Problems, by David F. Griffiths, Desmond J. Higham, (electronic resource)

Numerical Methods for Ordinary Differential Equations : Initial Value Problems, by David F. Griffiths, Desmond J. Higham, (electronic resource)

Label
Numerical Methods for Ordinary Differential Equations : Initial Value Problems
Title
Numerical Methods for Ordinary Differential Equations
Title remainder
Initial Value Problems
Statement of responsibility
by David F. Griffiths, Desmond J. Higham
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
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 sight of the practical nature of the subject. It covers the topics traditionally treated in a first course, but also highlights new and emerging themes. Chapters are broken down into `lecture' sized pieces, motivated and illustrated by numerous theoretical and computational examples. Over 200 exercises are provided and these are starred according to their degree of difficulty. Solutions to all exercises are available to authorized instructors. The book covers key foundation topics: o Taylor series methods o Runge-Kutta methods o Linear multistep methods o Convergence o Stability and a range of modern themes: o Adaptive stepsize selection o Long term dynamics o Modified equations o Geometric integration o Stochastic differential equations The prerequisite of a basic university-level calculus class is assumed, although appropriate background results are also summarized in appendices. A dedicated website for the book containing extra information can be found via www.springer.com
Member of
Is Subseries of
http://library.link/vocab/creatorName
Griffiths, David F
Dewey number
515/.352
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • VdNcBDuNfC4
  • _8UmyKmUmKY
Language note
English
LC call number
QA297-299.4
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Higham, Desmond J.
Series statement
Springer Undergraduate Mathematics Series,
http://library.link/vocab/subjectName
  • Numerical analysis
  • Electronic data processing
  • Numerical Analysis
  • Numeric Computing
Label
Numerical Methods for Ordinary Differential Equations : Initial Value Problems, by David F. Griffiths, Desmond J. Higham, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
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
Dimensions
unknown
Edition
1st ed. 2010.
Extent
1 online resource (273 p.)
Form of item
online
Isbn
9780857291486
Media category
computer
Media type code
  • c
Other control number
10.1007/978-0-85729-148-6
Specific material designation
remote
System control number
  • (CKB)2670000000056836
  • (EBL)3066110
  • (SSID)ssj0000450018
  • (PQKBManifestationID)11295866
  • (PQKBTitleCode)TC0000450018
  • (PQKBWorkID)10434653
  • (PQKB)10220175
  • (DE-He213)978-0-85729-148-6
  • (MiAaPQ)EBC3066110
  • (EXLCZ)992670000000056836
Label
Numerical Methods for Ordinary Differential Equations : Initial Value Problems, by David F. Griffiths, Desmond J. Higham, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
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
Dimensions
unknown
Edition
1st ed. 2010.
Extent
1 online resource (273 p.)
Form of item
online
Isbn
9780857291486
Media category
computer
Media type code
  • c
Other control number
10.1007/978-0-85729-148-6
Specific material designation
remote
System control number
  • (CKB)2670000000056836
  • (EBL)3066110
  • (SSID)ssj0000450018
  • (PQKBManifestationID)11295866
  • (PQKBTitleCode)TC0000450018
  • (PQKBWorkID)10434653
  • (PQKB)10220175
  • (DE-He213)978-0-85729-148-6
  • (MiAaPQ)EBC3066110
  • (EXLCZ)992670000000056836

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