This project is to implement a module in SymPy which will provide the ability to integrate arbitrary polynomials over 2D and 3D polytopes. Using Generalized Stokes' Theorem and Euler's Theorem the integration over a given polytope is reduced to integration over it's faces and then edges. This technique avoids using a 3D quadrature which would otherwise be computationally expensive.

Organization

Student

Arif Ahmed

Mentors

  • Ondřej Čertík
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2017