1D interpolators and Burgers equation example

New in this Release

• An interpolator_1D_t type providing 2nd- and 4th-order 1D interpolation from centers to faces and vice versa,
• An example solver for the 1D partial differential equation of Burgers (1948), and
• A Gnuplot script that creates an animated GIF file from the output of the Burgers solver.

What's Changed

• doc(README): fix citation by @rouson in #7
• Consistent #if handling by @certik in #11
• Support lfortran by @rouson in #13
• doc(README): fix test command for fpm version<0.13 by @rouson in #17
• Add Burgers Equation solver example by @rouson in #22
• Features: 4th-order accurate Burgers solver & animator by @rouson in #27
• Features: 4th-order accurate Burgers solver; Gnuplot animation script by @rouson in #26

New Contributors

• @certik made their first contribution in #11

Full Changelog: 0.1.0...0.2.0

Initial release

This release provides

• Numerical differentiation and integration of scalar and vector functions of one dimension,
• All operators required to satisfy the extended form of Gauss's Divergence Theorem,
• $2^{nd}$- and $4^{th}$-order mimetic discretizations with scalars placed at cell centers and vectors at cell faces,
• Assembly of gradient, divergence, and Laplacian matrix operators,
• Examples of the use of the above capabilities,
• Documentation: a UML class diagram, and
• Unit tests and continuous integration testing with 25 combinations of compiler, compiler version, and operating system, including
  • Compilers: Intel ifx 2025.2.0, 2025.2.2; LLVM flang-new 19-21; GCC gfortran 13-15.
  • Operating Systems: macOS 14-15, 26; Linux (Ubuntu 24.04, 26)

Additionally, this release supports the NAG nagfor 7.2 compiler through offline testing.

Contributors

• Dan Bonachea (@bonachea)
• Damian Rouson (@rouson)