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- methcalchim
- Python programming language * [[http://www.learnpython.org/|LearnPython.org]] interactive tutorial with code execution * [[https://www.datacamp.c... hon for Data Science"]] * [[https://www.sololearn.com/Course/Python/|Python 3 Tutorial]], interactive, with [[https://code.sololearn.com/#py|code use in web browser]] * MOOCs (m
- numerical_methods_for_ordinary_differential_equations
- ====== Integration of Ordinary Differential Equations ====== * [[wp>Ordinary_differential_equation|Ordinary Differential Equations]] (ODE, ODEs) * [[wp>Numerical_methods_for_ordinary_differential_equations|Numerical methods for ord
- partial_differential_equation
- ====== Numerical solutions of PDE ====== <note warning>In general, the numerical solutions of partial differential equations are obtained by standard methods developped and implemented in specialized softwares : * Finite elemen
- system_of_linear_equations
- ====== System of linear equations ====== <note tip>Numerical methods used to solve such problem allow ... lexity]], considering cubic time behavior of standard algorithms and //i.e.// quadratic time solutions... /note> ===== Theory ===== * [[wp>System_of_linear_equations]] * [[wp>Gaussian_elimination]], Gaus... uss-Jordan eliminations (diagonalization, triangularization) * [[wp>Pivot_element]], pivoting * [[
- eigenvalues_and_eigenvectors
- 66p142 * population dynamics, evolution (stationary [[wp>population pyramid]]) * [[wp>Leslie_mat... andma.pdf]],... * normal modes analysis (molecular vibrations) * PCA (principal component analysis... Schrödinger equation in quantum mechanics, molecular orbitals (Hartree–Fock theory) ===== Python libraries ===== * NumPy (more portability) * [[htt
- numerical_integration
- 9_error_estimation|Error estimation]] depends on parameters of the method and refinement of spatial gr... n. It is interesting to check these errors using various algorithm and mesh resolution. </note> * E... ]] * If intervals between interpolation points vary : * [[wp>Gaussian_quadrature]] * Chapter 4... las for Equally Spaced Abscissas * 4.2 Elementary Algorithms * 4.5 Gaussian Quadratures and Or
- root-finding_algorithm
- thm for finding the roots of a real polynomial of arbitrary degree * [[https://docs.scipy.org/doc/numpy/reference/routines.polynomials.html|Polynomial... e roots. The algorithm is based on a [[wp>Loop_invariant|loop invariant]] property : an interval [a, b] is said to bracket a root if f(a) and f(b) have op