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- methcalchim
- raphics & colors) * spyder (powerful Python IDE) * includes lot of Python libraries : matplo... n principles : algorithm and complexity * "divide by zero" errors and pivot solutions * extens... * special matrix require special algorithms : tridiagonal matrix algorithm (Thomas algorithm) * Ro... intégration * Equally Spaced methods (trapezoidal, Simpson), accuracy, error dependance,... *
- numerical_methods_for_ordinary_differential_equations
- tta_methods|Runge-Kutta methods]] * « most widely known member of the Runge–Kutta family is gene... luding a tutorial on ODEs * [[https://ipywidgets.readthedocs.io/en/stable/examples/Lorenz%20Differential%20Equations.html]], in the Jupyter Widgets documentation (2016...) * [[https://github.com/jupyter-widgets/ipywidgets/blob/master/docs/source/examples/L
- system_of_linear_equations
- uce and experiment on [[wp>Time_complexity]], considering cubic time behavior of standard algorithms a... ient or stationary) on a regular 1D space with equidistant steps. ODE equations can be writen such a g... i only imlies nodes i+1 and i-1 * Using [[wp>Tridiagonal_matrix_algorithm|tridiagonal Thomas algorithm]] allows to save computational time thanks to n
- partial_differential_equation
- ary element method * Spectral method * Multigrid methods * ... These methods often make use of v... ions are represented by their values at certain grid points and derivatives are approximated through d... gitconnected.com/create-your-own-finite-volume-fluid-simulation-with-python-8f9eab0b8305|Create Your Own Finite Volume Fluid Simulation (With Python)]] Philip Mocz, Medium, 0
- eigenvalues_and_eigenvectors
- amics, evolution (stationary [[wp>population pyramid]]) * [[wp>Leslie_matrix|Leslie matrix]] *... s-in-python]] * [[https://medium.com/analytics-vidhya/eigenvectors-and-eigenvalues-a-deeper-understa... Eigenvalues: A deeper understanding]] Muhammad Abdullah Bilal, Analytics Vidhya, Medium, 04/03/2021
- numerical_integration
- ameters of the method and refinement of spatial grid discretization. It is interesting to check these ... * [[wp>Numerical_integration]] * [[wp>Trapezoidal_rule]] * [[wp>Newton–Cotes_formulas]] *
- root-finding_algorithm
- op invariant]] property : an interval [a, b] is said to bracket a root if f(a) and f(b) have opposite ... * 9.2 Secant Method, False Position Method, and Ridders' Method * 9.4 Newton-Raphson Method Using