Unevaluated multivariate integrals: change of variables
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Francesco Bonazzi
Jun 17, 2016, 6:28:30 AM6/17/16
to sympy
Hi there,
SymPy currently has Integral.transform to change the variable for one-dimensional integrals.
This could be generalized to multivariate integrals by calculating the Jacobian matrix of the transformation and getting its determinant to determine the change of integration measure.
The main problem is about the integration region. Specifically two cases:
SymPy currently has Integral.transform to change the variable for one-dimensional integrals.
This could be generalized to multivariate integrals by calculating the Jacobian matrix of the transformation and getting its determinant to determine the change of integration measure.
The main problem is about the integration region. Specifically two cases:
- case where the integration limits do not contain other integration variables.
- case where the do
The second case is way more complicated than the first.
My question is whether there is a general algorithm to determine the shape of the integration region for multivariate integrals after a generic (diffeomorphic) coordinate transformation?
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