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Homework #1 Due ???
Page 59 in Morton and Mayers problems 5, 7, 8 ,9
Consider the RK method where
k1 = h f(yn, tn)
k2 = h f(yn + k1/3, tn + h/3)
k3 = h f(yn + 2 k2/3, tn + 2 h/3)
k4 = h f(yn + k3, tn + h)
yn+1 = yn + (A k1 + B k2 + C k3 + D k4)/(A+B+C+D)
Find choices of A, B, C and D that maximize the order
of this scheme. What is the maximum order? Is the
choice of A, B, C and D unique that achieve this order?
Graduate students turn in 4 of the 5 above problems.
Undergraduate students turn in 3 of the 5 problems.
Last updated:
Tue Jan 22 19:04:23 PST 2008