#MATHEMATICA NINTEGRATE CODE#

Or you could have given more information on the physical origin of this (some sort of second order perturbation theory for some sort of bosonic system?), had that not been off-topic here. Advanced Numerical Integration In Mathematica In. Perhaps there's a physical regularisation procedure being employed. nintegrate mathematicadouble integrals in mathematica Mathematica numerical integration - Math Theorems. Neither Matlab using dblquad, nor Mathematica using NIntegrate can deal with the singularity created by the denominator.

#MATHEMATICA NINTEGRATE CODE#

Perhaps you could email the persons who obtained an answer with the cos term and ask what precisely it is they did. The Compile function takes Mathematica code and allows you to pre-declare the types (real, complex, etc.) and structures (value, list, matrix, etc.) of input arguments. So, evidently, there are second-order poles, and this isn't convergent as presented. Pw := Piecewise[ times terms with no divergences. In some cases, like this one, it is significantly faster to simply force it to treat it as a black-box numeric function by defining the function to only take numeric arguments. (3) Here is some code that shows it will be zero, at least if we zero out the singular part and a small band around it. NIntegrate can spend a distressing amount of time trying to simplify the integrand symbolically if you allow it. Yet the integration range symmetry means that amounts to just renaming your variables, hence it must stay the same. This is because you negate the n(y)-n(x) factor when you swap x and y but keep the rest the same. (2) If the integral exists, it has to be zero.

That way others (read: me) need not code it up separately. Or maybe there is a code in Matlab which make the same thing as NIntegrate on Mathematica.

Wolfram Knowledgebase Curated computable knowledge powering Wolfram|Alpha.(1) It would be helpful if you provide the explicit code you use. Wolfram Universal Deployment System Instant deployment across cloud, desktop, mobile, and more. The article is devoted to the research and development of the mechanism of interaction between Wolfram Mathematica programs and Apache Kafka queue to provide the ability to build event-driven.

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