[SciPy-dev] BVP code

[Chuck Harris]

> -----Original Message-----
> From: Jochen Küpper [mailto:jochen at unc.edu]
> Sent: Tuesday, April 23, 2002 4:13 PM
> To: scipy-dev at scipy.org
> Subject: Re: [SciPy-dev] BVP code
> 
> 
> On Tue, 23 Apr 2002 15:18:25 -0600 Chuck Harris wrote:
> 
> >> ,----
> >> | @Article{11901,
> >> |   author = {J. W. Cooley},
> >> |   title = {An Improved Eigenvalue Corrector Formula for 
> Solving the 
> >> |            Schrödinger Equation for Central Fields},
> >> |   journal = {Math. Comput.},
> >> |   volume = {15},
> >> |   pages = {363},
> >> |   year = {1961},
> >> | }
> >> `----
> 
> Chuck> Is that the one that shoots from the ends and meets in the
> Chuck> middle and tries to match the slopes? 
> 
> Yep
> 
IIRC they compute the derivative of the slope-difference with respect to the energy by integrating it along to the meeting point. There *is* an application for Newton's method with computed derivatives! It would be interesting to compare this with one of the good secant methods, brent for instance.

Chuck