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NumericalHUB Amazon book PDF

Set of modern Fortran numerical libraries covering: zeroes of Systems of Equations, Lagrange Interpolation, Finite Differences, Cauchy Problems, Boundary Value Problems, and Initial Boundary Value Problems.

Numerical methods:

  1. Spatial discretization: structured meshes with finite differences of generic order q and spectral methods with q=N (collocation points).
  2. Temporal discretization: Euler, Inverse Euler, Embedded Runge-Kutta of different orders, GBS methods (Gragg-Bulirsch-Stoer), Predictor-Corrector (ABM).

Procedure to run the NumericalHUB:

  1. Install Microsoft Visual Studio and Intel compiler
  2. Code / open with Visual Studio
  3. Choose your local path and clone solution
  4. Select VS solution and open it

Example of content of the NumericalHUB: Initial value problem with ODES. Orbits and stability tools.