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- methcalchim
- * GNU/Linux OS (preferred) * Jupyter introductions, tutorials, ... * [[https://medium.com/@denka... * [[http://www.numpy.org/|NumPy]] (array manipulations, linear algebra, Fourier transforms, random numbe... lib/index.html|SciPy]] numerical methods (integrations, ODE, PDE,...) * [[http://sympy.org/en/index.ht... umerical methods ==== * [[system_of_linear_equations|Systems of linear equations]] * Diagonalisati
- 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 ordinary differential equations]] * [[wp>Numerical_methods_for_ordinary_diffe
- 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 specia... te> * [[wp>Numerical_partial_differential_equations|Numerical partial differential equations]] Howev
- system_of_linear_equations
- ====== System of linear equations ====== <note tip>Numerical methods used to solve such problem allow to... ndard algorithms and //i.e.// quadratic time solutions using LU decomposition.</note> ===== Theory ===== * [[wp>System_of_linear_equations]] * [[wp>Gaussian_elimination]], Gauss and Gauss-Jordan eliminations (diagonalization, triangularization) * [[wp>Piv
- root-finding_algorithm
- ====== Root findings : equations f(x) = 0 ====== <note tip> Algorithm used to find roots of an equation use iterations, and a numerical criterion to accept a solution w... f the function f(x). </note> * Polynomial equations : [[wp>Bairstow's_method|Bairstow's method]] is a... Recipes" : Root finding an nonlinear sets of equations * 9.0 Introduction * 9.1 Bracketing and B
- eigenvalues_and_eigenvectors
- * [[wp>QR_algorithm|QR algorithm]] ===== Applications ===== * collisional relaxation * //e.g.// [... ]],... * normal modes analysis (molecular vibrations) * PCA (principal component analysis) * Schrö... ipy.org/doc/scipy/reference/linalg.html#decompositions|Decompositions]] (LU, QR,...) ===== References ===== * Numerical recipes, The Art of Scientific Co
- numerical_integration
- he book “Numerical Recipes” : Integration of Functions * 4.0 Introduction * 4.1 Classical Formul... ml|Integration (scipy.integrate)]] ===== Applications ===== * Perform better integration calculus com