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A First Course in the Numerical Analysis of Differential Equations by Arieh Iserles

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5

Geometric numerical integration

5.1  Between quality and quantity

If mathematics is the language of science and engineering, differential equations form much of its grammar. A myriad of facts originating in the laboratory, in an astronomical observatory or on a field trip, flashes of enlightenment and sudden comprehension, the poetry of nature and the miracle of the human mind can all be phrased in the language of mathematical models coupling the behaviour of a physical phenomenon with its rate of change: differential equations. No wonder, therefore, ...

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