Benchmark of Differential Equation Solvers Across Eight Programming Languages

A comparison of differential equation solver suites across MATLAB, R, Julia, Python, C, Mathematica, Maple, and Fortran. The dataset was created by Christopher Rackauckas and is published under an Open Access (diamond) license on Papers with Code. It aims to detail the construction and rationale of each software suite to help users select appropriate tools.

Use Cases

• Benchmarking solver performance based on the described comparison of popular software offerings.
• Informing software selection for scientific computing projects based on the detailed analysis of each suite's design.
• Identifying areas for improvement in differential equation solvers based on the cross-language comparison.

Strengths

• Focuses on a critical area for scientific computing: methods for solving differential equations.
• Compares offerings from eight widely-used programming languages and software environments.
• Provides details on how each suite was constructed and the rationale behind them.

Limitations

• Column-level documentation is absent; field semantics must be inferred after download.
• Row count is unknown, which may limit suitability assessment.
• Last update date is unknown; freshness unverified.

Provenance

Source

Christopher Rackauckas

Collection Method

Likely compiled from software publications and direct testing of solver suites.