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  1. Brouwer-Lyddane Elements

    The Brouwer-Lyddane elements are a set of "mean elements" used to describe the orbit of a spacecraft.

  2. The FMIN function at Netlib is based on Richard Brent's classic localmin algorithm from [1].

  3. Sign, Sign, Everywhere a Sign

    Reference [1] describes a numerical method for computing the derivative of a 1D function, using Neville's algorithm to extrapolate from a sequence of simple polynomial approximations based on interpolating points within specific bounds of a given point.

  4. Polynomial Roots

    Consider the problem of finding all the roots of a polynomial.

  5. "I am bound Upon a wheel of fire, that mine own tears Do scald like molten lead." - Shakespeare, "King Lear", Act IV, Scene 7 Typically, we see examples of poor saps who think that legacy Fortran codes must be converted to "modern" languages such as C++.

  6. Fortran Compiler Updates (2026)

    Fortran compiler development continues, with regular updates across a range of compilers.

  7. Conda + Fortran

    The dark ages of confusion about where to get and how to install a Fortran compiler for your platform are over.

  8. Root Finding

    From A FORTRAN Coloring Book by Roger Kaufman (1978) Finding the \(x\) where a scalar function \(f(x) = 0\) is a common problem in numerical programming.

  9. Fortran 2023 Unleashed

    Fortran 2023 (ISO/IEC 1539-1:2023) has been officially published.

  10. Image created with the assistance of NightCafe Creator.

  11. Near Rectilinear Halo Orbits

    Some Earth-Moon NRHOs.

  12. D1MACH Re-Revisited

    NightCafe AI generated image for "old computers" The classic Fortran routines r1mach (for single precision real numbers), d1mach (for double precision real numbers), and i1mach (for integers) were originally written in the mid-1970s for the purpose of ret…

  13. Quadrature Quandary

    In today's episode of "What where the Fortran dudes in the 1980s thinking?"

  14. The glacially slow pace of Fortran language development continues!

  15. Packs

    There are a lot of classic Fortran libraries from the 1970s to the early 1990s whose names end in "pack" (or, more specifically, "PACK").