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- methcalchim
- with code execution * [[https://www.datacamp.com/courses/intro-to-python-for-data-science|DataCamp... 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 (massiv... * [[https://www.edx.org/course/introduction-computer-science-mitx-6-00-1x-9|Introduction to Compu
- system_of_linear_equations
- em allow to introduce and experiment on [[wp>Time_complexity]], considering cubic time behavior of stan... and //i.e.// quadratic time solutions using LU decomposition.</note> ===== Theory ===== * [[wp>Syst... * [[wp>Pivot_element]], pivoting * [[wp>LU_decomposition]] * [[wp>Triangular_matrix#Forward_an... Elimination with Backsubstitution * 2.3 LU Decomposition and Its Application * Python [[https://
- numerical_methods_for_ordinary_differential_equations
- als/ar/]] (RK4) * [[http://www.gribblelab.org/compneuro2012/2_Modelling_Dynamical_Systems.html#orgh... umentation (2016...) * [[https://github.com/jupyter-widgets/ipywidgets/blob/master/docs/sourc... %20Equations.ipynb]] * [[https://github.com/jupyterlab/jupyterlab-demo/blob/master/notebooks/... * On active state * [[http://code.activestate.com/recipes/577816-synchronized-chaos-using-lorenz-at
- eigenvalues_and_eigenvectors
- nalysis (molecular vibrations) * PCA (principal component analysis) * Schrödinger equation in quant... e/generated/numpy.linalg.eig.html|linalg.eig(a)]] Compute the eigenvalues and right eigenvectors of a square array * SciPy (more complete wrapper on [[wp>LAPACK|LAPACK]] fortran pack... /docs.scipy.org/doc/scipy/reference/linalg.html#decompositions|Decompositions]] (LU, QR,...) ===== Re
- numerical_integration
- form) which is a good approximation and easier to compute. [[wp>Numerical_integration#Conservative_.28a... Newton–Cotes_formulas]] * [[wp>Simpson's_rule#Composite_Simpson.27s_rule|Simpson's rule and composite Simpson's rule]] * If intervals between interpol... ons ===== * Perform better integration calculus compare to [[https://pubs.acs.org/doi/10.1021/acs.jch
- root-finding_algorithm
- ml|polynomial module]], including polyroots(c) to compute the roots of a polynomial. * [[wp>Bisection... cant_method|Secant method]] (retains the last two computed points) * [[wp>False_position_method|Regul... ==== * Numerical recipes, The Art of Scientific Computing 3rd Edition, William H. Press, Saul A. Teuk... al.recipes/]] * in C : [[http://apps.nrbook.com/c/index.html]] * [[http://www2.units.it/ipl/s
- partial_differential_equation
- emi-implicit methods,and their correspondant time complexity ===== Applications ===== * Heat diffusi... ical method) * [[https://levelup.gitconnected.com/create-your-own-finite-volume-fluid-simulation-wi... edium, 01/10/2020 * [[https://rjallain.medium.com/modeling-a-wave-on-a-string-with-the-finite-diffe