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- methcalchim
- t-sheet|Jupyter DataCamp Cheat Sheet]] <note tip>The Microsoft Azure Notebooks environment can be used... nt login/account (i.e. student login from UMONS). The following public sample notebooks are then availa... * Systems of linear equations * failing of the theoretical way to solve a linear system using de... rrors and pivot solutions * extension towards the matrix inversion * lower-upper LU decompositi
- numerical_methods_for_ordinary_differential_equations
- a methods]] * « most widely known member of the Runge–Kutta family is generally referred to as "R... K4", "classical Runge–Kutta method" or simply as "the Runge–Kutta method » * [[wp>Runge–Kutta_metho... egration]] ==== Lorenz system ==== <blockquote>« The Lorenz system is a system of ordinary differential equations (the Lorenz equations, note it is not Lorentz) first s
- root-finding_algorithm
- on when a sufficiently accurate value is reached. The rate of convergence depends on the used method and the function f(x). Some methods (Newton-Raphson) need the derivative of the function f(x). </note> * Pol
- system_of_linear_equations
- #Forward_and_back_substitution]] * Chapter 2 in the book "Numerical Recipes" : * 2.0 Introduction... e complexity analysis * Hint : in Python, use the timeit module ===== Jupyter notebooks ===== * ... te and known number of arithmetic operations. * The accuracy is determined by the number of numerical figures which are encoded in floating point descript
- partial_differential_equation
- solutions of PDE ====== <note warning>In general, the numerical solutions of partial differential equat... erical partial differential equations]] However, the [[wp>Finite_difference_method|finite difference m... ated through differences in these values. One of the most usual problems concern the chemical and thermal diffusion problem, in either steady and unsteady
- eigenvalues_and_eigenvectors
- numerical algorithm producing a number $\lambda$, the greatest (in absolute value) eigenvalue of a matrix $A$, and the corresponding eigenvector $v$, such that $Av=\lam... ted/numpy.linalg.eig.html|linalg.eig(a)]] Compute the eigenvalues and right eigenvectors of a square ar... ===== References ===== * Numerical recipes, The Art of Scientific Computing 3rd Edition, William
- numerical_integration
- culation of definite integrals implies to replace the function by another one (usually a polynomial for... ation|Error estimation]] depends on parameters of the method and refinement of spatial grid discretizat... * [[wp>Gaussian_quadrature]] * Chapter 4 in the book “Numerical Recipes” : Integration of Functio... 93 ===== Références ===== * Numerical recipes, The Art of Scientific Computing 3rd Edition, William