Hello, did you try transforming the integral to have finite limits (i.e. https://www.youtube.com/watch?v=fkxAlCfZ67E). Once you have it in this form, I would suggest trying the CQUAD algorithm:
https://www.gnu.org/software/gsl/doc/html/integration.html#cquad-doubly-adaptive-integration Patrick On 3/5/20 2:02 AM, Patrick Dupre wrote: > Hello, > > > Can I collect your suggestions: > > I need to make the following integration: > > int_a^b g(x) f(x) dx > > where a can be 0 of -infinity, and b +infinity > g(x) is a Gaussian function > f(x) = sum (1/((x-x0)^2 + g)) / (1 + S* sum (1 / ((x-x0)^2 + g))) > > Typically, f(x) is a fraction whose numerator is a sum of Lorentzians > and the denominator is 1 + the same sum of Lorentzians weighted by a factor. > > Thank for your suggestions > > =========================================================================== > Patrick DUPRÉ | | email: pdu...@gmx.com > Laboratoire interdisciplinaire Carnot de Bourgogne > 9 Avenue Alain Savary, BP 47870, 21078 DIJON Cedex FRANCE > Tel: +33 (0)380395988 > =========================================================================== > >
