calculating multivariable integrals

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I having a look at how to calculate using PC a multivariable integrals.

I am reading about the Quasi Montecarlo methods using the following

  • (t, m, s)-Nets and (t, s)-Sequences
  • Faure sequences

My readings are pdf and various tutorial produced during year 2005.

Do you know if these methods are still used and effective or if I should focus my efforts to new and improved techniques?

I have a problem of about 20 variables and I would like to use C++.

Thanks a lot

AFG