SymPy: symbolic computing in Python

Abstract

SymPy is an open source computer algebra system written in pure Python. It is built with a focus on extensibility and ease of use, through both interactive and programmatic applications. These characteristics have led SymPy to become a popular symbolic library for the scientific Python ecosystem. This paper presents the architecture of SymPy, a description of its features, and a discussion of select submodules. The supplementary material provide additional examples and further outline details of the architecture and features of SymPy.Subjects Scientific

pyodesys: Straightforward numerical integration of ODE systems from Python

“…In addition, this representation allows the user to manipulate the mathematical representation symbolically. This is achieved by using SymPy (Meurer et al 2017) (although the coupling is loose and other symbolic backends may be used).…”

MicroBenthos: a modeling framework for microbial benthic ecology

“…While the software is written in python, with a modular structure for ease of extensibility, it can be used without programming through a (YAML) structured text file as the interface. This allows the user to focus on specifying the constitutive relations between environmental parameters and processes as a simple mathematical formula, which is then symbolically cast (using sympy (Meurer et al 2017)) into a set of coupled partial differential equations for the full model. Using a simple command, the equations can be numerically solved (using fipy (Guyer, Wheeler, and Warren 2009) …”

pyneqsys: Solve symbolically defined systems of non-linear equations numerically

“…variable transformations or generate representations in LaTeX, MathML etc. By default SymPy (Meurer et al 2017) is used as the symbolic back-end, but other libraries are also supported.…”