Abstract
Currently, there are many different mathematical packages. This work uses the MAPLE package as the most accessible and common. The math package specializes in the symbolic calculation, but the capabilities of the package allow you to use the numerical component. The capabilities of the MAPLE package allow you to develop on its basis. A problematic specialized calculation system, which is a combination of numerical and symbolic methods. The creation of modules is focused on their application in the nonlinear theory of elasticity. The creation of a specialized calculation system allows you to use powerful means of symbolic integration, methods of minimizing functionality, and visualization capabilities of the results inherent in MAPLE. The symbolic component allows you to write a numerical integration program for functions with parameters whose values are not specified. Therefore, it becomes possible to calculate integrals in functionals with iterative minimization methods only once. This approach avoids the calculation of integrals at each step of the iteration process. One-time integration allows you to cope with the simplest formulas of numerical integration.
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Andreeva, Y.Y., Asanova, N.V., Tarasova, I.A. (2021). Numerical and Symbolic Integration in the MAPLE Package: Software for Antiplane Problems of the Non-linear Elasticity Theory. In: Kravets, A.G., Shcherbakov, M., Parygin, D., Groumpos, P.P. (eds) Creativity in Intelligent Technologies and Data Science. CIT&DS 2021. Communications in Computer and Information Science, vol 1448. Springer, Cham. https://doi.org/10.1007/978-3-030-87034-8_10
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