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

By: Griffiths, David FContributor(s): Higham, Desmond JMaterial type: Text

TextSeries: (Springer undergraduate mathematics series)Publication details: New York: Springer, 2010Description: x, 271 p. : ill. ; 24 cmISBN: 9780857291479Subject(s): Differential equations | Initial value problems | Numerical analysis | Electronic data processing | MathematicsDDC classification: 515.352

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.

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Holdings
Item type	Current library	Call number	Status	Date due	Barcode	Item holds
General Books	Central Library, Sikkim University General Book Section	515.352 DAV/N (Browse shelf(Opens below))	Available		P25239

Total holds: 0

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.

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