Numerical integration software for projection and projection-grid methods
The paper presents a brief description of the numerical integration software used in the POLE system. This software admits to calculate multiple (and/or contour) integrals regularly arising during the numerical realization of many general purpose methods of solving boundary value problems, such as finite element methods, boundary element methods, etc. The authors essentially use the tools of analytic description of complex geometry supplied by the \(R\)-function method. In addition to function values, the system produces all the necessary partial derivatives which are computed with high accuracy. The software not only provides the user with the possibility of choosing the numerical integration method, but also has an option for automatic construction of the desired algorithms for each grid cell in the given domain.
scientific article; zbMATH DE number 746030