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- methcalchim
- Mathematical prerequisites==== ==== Programming bases and tools ==== * Python programming language ... n.com/#py|code use in web browser]] * MOOCs (massive open online courses) : * [[https://www.... ools : * Jupyter notebook (interactive web-based environment) * qtconsole (high level Pyth... Python libraries : matplotlib, numpy, scipy, pandas,... * package management system (conda), virt
- numerical_methods_for_ordinary_differential_equations
- f the Runge–Kutta family is generally referred to as "RK4", "classical Runge–Kutta method" or simply as "the Runge–Kutta method » * [[wp>Runge–Kutta_methods#Adapti... g-the-lorentz-system-in-3d/]] (2012, Jake Vanderplas) * with Ipython notebook * [[http://n
- numerical_integration
- lynomial form) which is a good approximation and easier to compute. [[wp>Numerical_integration#Conserv... >Trapezoidal_rule]] * [[wp>Newton–Cotes_formulas]] * [[wp>Simpson's_rule#Composite_Simpson.27s... n of Functions * 4.0 Introduction * 4.1 Classical Formulas for Equally Spaced Abscissas * 4.2 Elementary Algorithms * 4.5 Gaussian Quadrat
- root-finding_algorithm
- simple and robust method, but relatively slow. It assumes continuity of the function, and obtain one roots. The algorithm is based on a [[wp>Loop_invariant|loop invariant]] prope... [[wp>Secant_method|Secant method]] (retains the last two computed points) * [[wp>False_position_met
- system_of_linear_equations
- * comparison with numpy standard library * measurements of execution time to check cubic complexi... [[wp>Tridiagonal_matrix_algorithm|tridiagonal Thomas algorithm]] allows to save computational time tha... nks to n complexity * ? Python library with Thomas algorithm ===== What you must have learned in t
- eigenvalues_and_eigenvectors
- ction-eigenvalue expansion: Analysis of a simple case]] Wendell Forst, J. Chem. Educ., 1989, 66 (2), p... ://stackoverflow.com/questions/6684238/whats-the-fastest-way-to-find-eigenvalues-vectors-in-python]]
- partial_differential_equation
- ce_method|finite difference method]] can be more easliy applied to a lot of classical PDE. In this method, functions are represented by their values at ce