Basic HTML version of Foils prepared February 25 2000

Foil 13 Time Discretization

From Parallel Programming for Particle Dynamics Extra Foils Computational Science CPS615 -- Spring 2000 Semester. by Geoffrey C. Fox
1 In ordinary differential equations, one focuses on different ways of represent d?i(t)/dt in some difference form such as Euler's form d?i(t)/dt = (?i(t + ?t) - ?i(t)) / ?t
2 Or more accurate Runge-Kutta and other formulae
3 The same time discretization methods are applicable to (time derivatives in) partial differential equations involving time and are used to approximate ??i(x,t) / ?t
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