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- methcalchim
- e, with [[https://code.sololearn.com/#py|code use in web browser]] * MOOCs (massive open online co... python|An Introduction to Interactive Programming in Python (Beginners)]] (Coursera) * [[https:/... larisation * LU decomposition : factorization in triangular matrices * [[root-finding_algorithm|... Van Wijngaardeb-Dekker-Brent method ("black box" in numerical packages) * Roots of polynomials an
- partial_differential_equation
- = Numerical solutions of PDE ====== <note warning>In general, the numerical solutions of partial diffe... ed by standard methods developped and implemented in specialized softwares : * Finite element method... be more easliy applied to a lot of classical PDE. In this method, functions are represented by their v... derivatives are approximated through differences in these values. One of the most usual problems con
- numerical_methods_for_ordinary_differential_equations
- certain parameter values and initial conditions. In particular, the Lorenz attractor is a set of chao... b.io/blog/2013/02/16/animating-the-lorentz-system-in-3d/]] (2012, Jake Vanderplas) * with Ipython ... xamples/Lorenz%20Differential%20Equations.html]], in the Jupyter Widgets documentation (2016...) ... 7742/drawing-phase-space-trajectories-with-arrows-in-matplotlib|Drawing phase space trajectories with
- system_of_linear_equations
- rix#Forward_and_back_substitution]] * Chapter 2 in the book "Numerical Recipes" : * 2.0 Introduc... solve]] * Time complexity analysis * Hint : in Python, use the timeit module ===== Jupyter note... omas algorithm ===== What you must have learned in this chapter ===== * Except ill-conditionned, l... solved "exactly" using linear algebra algorithms in a finite and known number of arithmetic operation
- eigenvalues_and_eigenvectors
- rithm producing a number $\lambda$, the greatest (in absolute value) eigenvalue of a matrix $A$, and t... .1.133.7164&rep=rep1&type=pdf|Leslie Matrix Model in Population Dynamics - CiteSeerX]] * [[http://... ipal component analysis) * Schrödinger equation in quantum mechanics, molecular orbitals (Hartree–Fo... whats-the-fastest-way-to-find-eigenvalues-vectors-in-python]] * [[https://medium.com/analytics-vidhy
- numerical_integration
- : * [[wp>Gaussian_quadrature]] * Chapter 4 in the book “Numerical Recipes” : Integration of Fun... 0193|Employing Spreadsheets for Applying Calculus in Upper-Level Chemistry Courses]] Paul D. Cooper, J... 80688 * [[http://numerical.recipes/]] * in C : [[http://apps.nrbook.com/c/index.html]] *
- root-finding_algorithm
- y/reference/routines.polynomials.html|Polynomials in NumPy]] * [[https://docs.scipy.org/doc/numpy/... on's_method|Newton-Raphson method]] * Chapter 9 in the book "Numerical Recipes" : Root finding an no... 80688 * [[http://numerical.recipes/]] * in C : [[http://apps.nrbook.com/c/index.html]] *