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:
- Spatial discretization: structured meshes with finite differences of generic order q and spectral methods with q=N (collocation points).
- Temporal discretization: Euler, Inverse Euler, Embedded Runge-Kutta of different orders, GBS methods (Gragg-Bulirsch-Stoer), Predictor-Corrector (ABM).
Procedure to run the NumericalHUB:
- Install Microsoft Visual Studio and Intel compiler
- Code / open with Visual Studio
- Choose your local path and clone solution
- Select VS solution and open it
Example of content of the NumericalHUB: Initial value problem with ODES. Orbits and stability tools.