semvec/pypi-packages huggingface dataset:
numalg 1.0.6
Numerical analysis algorithms
License: MIT
Requires Python: >=3.6

Numerical analysis algorithms

1. Error theory: floating point systems, relative and absolute errors, significant digits, conditioning and stability.
2. Nonlinear equations: Fixed point, Newton-Raphson, Secant and bisection. 
3. Nonlinear systems: Generalized Newton method.
4. Linear systems: Jacobi, Gauss-Seidel and SOR methods.
5. Function approximation: Polynomial interpolation (Newton and Lagrange). Linear and cubic splines. Least squares method.
6. Numerical integration: Mid point, Trapezoidal, Simpson and Gauss-Legendre with two and three nodes. 
7. Ordinary differential equations (one equation or a system of equations): Euler, Taylor of order 2. Implicit Euler method. Runge-Kutta methods of order 2 (Heun and Midpoint), and Runge-Kutta of order 4.
8. Boundary value problems: finite difference method.

&copy; Isabel Reis dos Santos, IST Ulisboa, 2024