Resources and Tools for Numerical Method and Scientific Computing

Resources

• Numerical Recipes - The Art of Scientific Computing
  • The famous book. Algorithms available in Fortran, C, and C++.
  • A Second Edition of the C version is available here.
  • Numerical Recipes 2nd ed. ANSI C++ Files
• Awesome Scientific Computing - Curated list of awesome software for numerical analysis
  • Scientific computing and numerical analysis are research fields that aim to provide methods for solving large-scale problems from various areas of science with the help of computers.

Tools

• meshio - I/O for various mesh formats
  • By Nico Schlömer. There are various mesh formats available for representing unstructured meshes. meshio can read and write a lot of them, and can convert among them.
• quadpy - Numerical integration (quadrature, cubature) in Python
  • By Nico Schlömer. More than 1500 numerical integration schemes for line segments, circles, disks, triangles, quadrilaterals, spheres, balls, tetrahedra, hexahedra, wedges, pyramids, n-spheres, n-balls, n-cubes, n-simplices, and the 1D/2D/3D/nD spaces with weight functions exp(-r) and exp(-r2) for fast integration of real-, complex-, and vector-valued functions.
• optimesh - Mesh optimization, mesh smoothing
  • By Nico Schlömer. Several mesh smoothing/optimization methods with one simple interface. Only works for triangular meshes