And of course we'll try to help you as much as we can, John.
Thank you so much for prompt reply! Most likely, I'll try to implement Bessel function derivatives. I'll write after some results!
This is actually a pretty good idea, derivatives of Bessel functions. Please be advised that writing any research thesis and contributing to Boost is a very individual effort. John mentioned that we can help in some way, but quite honestly, you would be researching and writing independently for long stretches because we simply do not have the time for full-time research advisers. In particular, I have been getting involved in *way* too many projects recently, and I have at least a year of backlogged projects to work through. That being said, I believe that such a contribution --- if you are the man for the job --- would be a good topic for your thesis. It is also always a good idea to round out any thesis or research work with practical examples. So in your thesis, you should also include some applications. One application might be, for example, using Bessel function derivatives to assist in the computation of certain zeros of Bessel functions. When we added the zeros of Bessel functions last year, we used a "poor man's" derivative calculation in some expansion regions via a trivial recursion relation --- which is slow because it requires the calculation of multiple Bessel functions. Having "native" derivatives of Bessel functions could improve these calculations. And this would be one of your examples, and a further contribution to the code. You should also seek out one or two other examples such as special functions expanded in Bessel derivatives, and also extend these to multiprecision. You might also consider including in some way an investigation of the basic tenets of generic numeric programming with Boost.Math and Boost.Multiprecision. Although this is a research topic that can stand alone, you might consider include it in something like a final chapter or an appendix. This would pave the way for another research paper wholly dedicated to generic numeric programing in C++ with Boost. Good luck and keep in touch with further progress. Sincerely, Chris. On Thursday, October 31, 2013 8:00 AM, bikineev <ant.bikineev@gmail.com> wrote: John Maddock <john <at> johnmaddock.co.uk> writes:
And of course we'll try to help you as much as we can, John.
Thank you so much for prompt reply! Most likely, I'll try to implement Bessel function deriatives. I'll write after some results! _______________________________________________ Unsubscribe & other changes: http://lists.boost.org/mailman/listinfo.cgi/boost