Basic HTML version of Foils prepared 14 October 1997

Foil 14 Relationship of Error to Computation

From Fox Presentation Fall 1995 CPS615 Basic Simulation Track for Computational Science -- Fall Semester 95/96/97. by Nancy McCracken and Geoffrey C. Fox


1 Whenever f satisfies certain smoothness conditions, there is always a sufficiently small step size h such that the difference between the real function value at ti and the approximation Xi+1 is less than some required error magnitude e. [Burden and Faires]
2 Euler's method: one computation of the derivative function f at each step.
3 Other methods require less computation in order to produce the specified error e.

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