Non-integrable multiple integrals for Mathematica

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SUMMARY

The discussion revolves around the challenges faced by Anna in evaluating non-integrable multiple integrals using Mathematica. Specifically, Anna attempts to compute the integral of the function (y-d) over multiple variables, with b set to 3 and t varying from 0 to 2. Despite using NIntegrate, she encounters difficulties in obtaining a final array of numerical results due to the complexity of the integrals involved. Bill provides insights into simplifying the approach by suggesting the use of a single NIntegrate command instead of multiple nested integrals, which enhances accuracy and efficiency.

PREREQUISITES
  • Familiarity with Mathematica 12.0 syntax and functions
  • Understanding of multiple integrals and their numerical evaluation
  • Knowledge of the NIntegrate function and its requirements
  • Basic concepts of numerical methods for integration
NEXT STEPS
  • Explore the documentation for NIntegrate in Mathematica to understand its parameters and options
  • Learn about the use of Table and its application in generating arrays of numerical results
  • Investigate methods for simplifying complex integrals in Mathematica
  • Study examples of numerical integration involving non-integrable functions
USEFUL FOR

This discussion is beneficial for researchers, mathematicians, and students who are working with complex integrals in Mathematica, particularly those dealing with non-integrable functions and seeking efficient numerical solutions.

  • #31


You probably have a division by 0 somewhere. Look at your variable j and see what happens near 0. Possible solutions are to interpolate the inverse of the original equation, or to simply avoid 0.
 

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