Litcius/Paper detail

py-pde: A Python package for solving partial differential equations

David Zwicker

2020The Journal of Open Source Software83 citationsDOIOpen Access PDF

Abstract

Partial differential equations (PDEs) play a central role in describing the dynamics of physical systems in research and in practical applications. However, equations appearing in realistic scenarios are typically non-linear and analytical solutions rarely exist. Instead, such systems are solved by numerical integration to provide insight into their behavior. Moreover, such investigations can motivate approximative solutions, which might then lead to analytical insight.

Topics & Concepts

Python (programming language)Partial differential equationMathematicsApplied mathematicsComputer scienceAlgebra over a fieldMathematical analysisProgramming languagePure mathematicsComputational Physics and Python ApplicationsModel Reduction and Neural NetworksReservoir Engineering and Simulation Methods