[SciPy-dev] BVP code

Jochen Küpper jochen at jochen-kuepper.de
Tue Apr 23 22:16:48 CDT 2002


On Tue, 23 Apr 2002 16:25:50 -0600 Chuck Harris wrote:

Chuck, sorry to be picky, but could you please break you lines
somewhere around column 74?

>> >> ,----
>> >> | @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> IIRC they compute the derivative of the slope-difference with
Chuck> respect to the energy by integrating it along to the meeting
Chuck> point. There *is* an application for Newton's method with
Chuck> computed derivatives! It would be interesting to compare this
Chuck> with one of the good secant methods, brent for instance.

If you look at Cooley's paper (I left the reference in up there), he
describes a correction function whose root has to be found, and then
proposes to use Newton-Raphson for that...

Cheers,
Jochen
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