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