MATH 475B Lecture Notes - Lecture 16: Finite Difference
16 Mar 2016
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Page 1 of 7 - mar 22, 2011. In the shooting method, we use an ivp solver together with newton"s. Method and a good guess to nd solutions to a system. Page 2 of 7 - mar 22, 2011. 1) very little coding is needed, use newtons method and existing ivp solvers. 3) the amount of memory use is small. 1) needs a good rst guess for the initial conditions. 2) if ivp is very sensitive or very insensitive to initial conditions, then it may not be possible to get newtons method to converge. 3) if the initial value problem is stiff, shooting will fail. Multiple shooting : a neat trick trading higher dimension for decreased sensitivity. Page 3 of 7 - mar 22, 2011. If lambda is big, this is sensitive to initial conditions. Page 4 of 7 - mar 22, 2011. Page 5 of 7 - mar 22, 2011.
