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- methcalchim
- en available to test Jupyter text and coding features : * [[https://notebooks.azure.com/linusable/lib... egrals) * Simpson method and gaussian quadratures <note tip> Learning outcomes : * Systems of li... racy, error dependance,... * Gaussian Quadratures and orthogonal polynomials (special integrals, sc... de différences finies * Résolutions stationnaires * Résolutions dépendantes du temps * Méthod
- numerical_integration
- inement of spatial grid discretization. It is interesting to check these errors using various algorithm and mesh resolution. </note> * Equally spaced methods : ... Elementary Algorithms * 4.5 Gaussian Quadratures and Orthogonal Polynomials * Python SciPy libra... of Scientific Computing 3rd Edition, William H. Press, Saul A. Teukolsky, William T. Vetterling, Brian
- partial_differential_equation
- s developped and implemented in specialized softwares : * Finite element method * Finite volume met... f classical PDE. In this method, functions are represented by their values at certain grid points and d... licit schemes, semi-implicit methods,and their correspondant time complexity ===== Applications =====
- system_of_linear_equations
- racy is determined by the number of numerical figures which are encoded in floating point description ... neral system of n equations, diagonalisation requires of the order of n<sup>3</sup> operations. Also fo... of Scientific Computing 3rd Edition, William H. Press, Saul A. Teukolsky, William T. Vetterling, Brian
- eigenvalues_and_eigenvectors
- ute value) eigenvalue of a matrix $A$, and the corresponding eigenvector $v$, such that $Av=\lambda v$.... of Scientific Computing 3rd Edition, William H. Press, Saul A. Teukolsky, William T. Vetterling, Brian
- numerical_methods_for_ordinary_differential_equations
- lutions of the Lorenz system which, when plotted, resemble a butterfly or figure eight. »</blockquote> ... of Scientific Computing 3rd Edition, William H. Press, Saul A. Teukolsky, William T. Vetterling, Brian
- root-finding_algorithm
- _method|Regula falsi]] (retains the points which preserve bracketing) * [[wp>Newton's_method|Newton-R... of Scientific Computing 3rd Edition, William H. Press, Saul A. Teukolsky, William T. Vetterling, Brian