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Numerical methods for ordinary differential equations : initial value problems / David F. Griffiths, Desmond J. Higham.

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Author/Creator:
Griffiths, D. F. (David Francis)
Language:
English.
Publication date:
2010
Imprint:
London ; New York : Springer, c2010.
Format:
  • Book
  • xiv, 271 p. : ill. ; 24 cm.
Bibliography:
Includes bibliographical references (p. [261]-266) and index.
Contents:
  • ODEs: an introduction
  • Euler's method
  • The Taylor series method
  • Linear multistep methods I
  • Linear multistep methods II
  • Linear multistep methods III
  • Linear multistep methods IV
  • Linear multistep methods V
  • 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
  • [Appendices]. Glossary and notation
  • Taylor series
  • Jacobians and variational equations
  • Constant-coefficient difference equations.
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 method without losing sight of the practical nature of the subject.
Contributor:
Higham, D. J. (Desmond J.)
Series:
Springer undergraduate mathematics series.
Subjects:
ISBN:
9780857291479
0857291475

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