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Is Fortran better than Python for teaching basics of numerical linear algebra?

4 hours ago
  • #numerical-linear-algebra
  • #education
  • #programming-languages
  • The article discusses whether Fortran is better than Python for teaching numerical linear algebra to engineering students with limited programming experience.
  • The author, who has been teaching scientific computing for over 10 years, argues that Fortran's strong typing and 1-based indexing may offer a better learning experience for beginners.
  • Python's ecosystem (NumPy, SciPy, matplotlib) is acknowledged as powerful and necessary for STEM students, but its permissiveness and quirks can distract from learning numerical algorithms.
  • Two examples are provided: implementing the Jacobi method and a QR-based least-squares solver, comparing Python and Fortran implementations.
  • Common student struggles with Python include understanding NumPy imports, indentation errors, 0-based indexing confusion, and the variety of ways to perform operations like dot products.
  • Fortran's advantages include clear variable definitions, explicit loop constructs, and 1-based indexing, which align more closely with mathematical notation.
  • The author acknowledges Fortran's smaller ecosystem compared to Python but argues its focus on numerical computing and modern standards make it a viable teaching tool.