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- methcalchim
- par Den Kasyanov (Medium) * [[https://jupyter.readthedocs.io/en/latest/|Jupyter official documenta... al equations * Dichotomy * Secant method, Regula falsi * Newton-Raphson method * [[numer... varying independant vectors * special matrix require special algorithms : tridiagonal matrix algo... rgence and divergence situations * secant and regula falsi methods, Convergence Criterion of the F
- numerical_methods_for_ordinary_differential_equations
- own member of the Runge–Kutta family is generally referred to as "RK4", "classical Runge–Kutta method"... ling and routes to chaos * Oscillating chemical reactions : Belousov-Zhabotinsky, Brusselator, Orego... lutions of the Lorenz system which, when plotted, resemble a butterfly or figure eight. »</blockquote>... a tutorial on ODEs * [[https://ipywidgets.readthedocs.io/en/stable/examples/Lorenz%20Different
- root-finding_algorithm
- a solution when a sufficiently accurate value is reached. The rate of convergence depends on the used... an efficient algorithm for finding the roots of a real polynomial of arbitrary degree * [[https://docs.scipy.org/doc/numpy/reference/routines.polynomials.html|Polynomials in NumPy]] * [[https://docs.scipy.org/doc/numpy/reference/routines.polynomials.polynomial.html|polyn
- eigenvalues_and_eigenvectors
- rithm]] ===== Applications ===== * collisional relaxation * //e.g.// [[https://pubs.acs.org/doi/abs/10.1021/ed066p142|Collisional relaxation via eigenfunction-eigenvalue expansion: A... .ist.psu.edu/viewdoc/download?doi=10.1.1.133.7164&rep=rep1&type=pdf|Leslie Matrix Model in Population Dynamics - CiteSeerX]] * [[http://personal.denis
- system_of_linear_equations
- bstitution]] * Chapter 2 in the book "Numerical Recipes" : * 2.0 Introduction * 2.1 Gauss-Jo... Py]] library : [[https://docs.scipy.org/doc/numpy/reference/index.html|NumPy Reference]] * [[https://docs.scipy.org/doc/numpy/reference/routines.linalg.html|Linear algebra (numpy
- numerical_integration
- tip> Calculation of definite integrals implies to replace the function by another one (usually a polyn... imation]] depends on parameters of the method and refinement of spatial grid discretization. It is int... eck these errors using various algorithm and mesh resolution. </note> * Equally spaced methods : ... quadrature]] * Chapter 4 in the book “Numerical Recipes” : Integration of Functions * 4.0 Introd
- partial_differential_equation
- t of classical PDE. In this method, functions are represented by their values at certain grid points a... of heat (or variation in temperature) in a given region over time : $$\frac{\partial T}{\partial t} ... eous media * ion exchange chromatography ===== References ===== * Finite Volume Method (another n