Numerical Methods for Ordinary Differential Equations: by David Griffiths,Desmond J. Higham PDF

By David Griffiths,Desmond J. Higham

Numerical equipment for traditional Differential Equations is a self-contained creation to a primary box of numerical research and clinical computation. Written for undergraduate scholars with a mathematical historical past, this ebook specializes in the research of numerical equipment with no wasting sight of the sensible nature of the subject.

It covers the subjects normally handled in a primary path, but in addition highlights new and rising subject matters. Chapters are damaged down into `lecture' sized items, prompted and illustrated by means of a number of theoretical and computational examples.

Over 2 hundred workouts are supplied and those are starred in accordance with their measure of trouble. suggestions to all routines can be found to approved instructors.

The e-book covers key beginning topics:

o Taylor sequence methods

o Runge--Kutta methods

o Linear multistep methods

o Convergence

o Stability

and more than a few sleek themes:

o Adaptive stepsize selection

o long-term dynamics

o changed equations

o Geometric integration

o Stochastic differential equations

The prerequisite of a simple university-level calculus type is believed, even supposing acceptable heritage effects also are summarized in appendices. A devoted site for the ebook containing additional info are available through www.springer.com

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Numerical Methods for Ordinary Differential Equations: Initial Value Problems (Springer Undergraduate Mathematics Series) by David Griffiths,Desmond J. Higham


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