https://dvillers.umons.ac.be/wiki/ 2026-04-05T19:16:41+00:00 https://dvillers.umons.ac.be/wiki/ https://dvillers.umons.ac.be/wiki/_media/favicon.ico text/html 2018-10-09T07:59:58+00:00 Anonymous (anonymous@undisclosed.example.com) https://dvillers.umons.ac.be/wiki/teaching:methcalchim:numerical_integration?rev=1539064798&do=diff Numerical integration Error estimation * Equally spaced methods : * Numerical_integration * Trapezoidal_rule * Newton–Cotes_formulas * Simpson's rule and composite Simpson's rule * If intervals between interpolation points vary : * Gaussian_quadrature * Chapter 4 in the book “Numerical Recipes” : Integration of Functions * 4.0 Introduction * 4.1 Classical Formulas for Equally Spaced Abscissas text/html 2022-03-17T08:50:35+00:00 Anonymous (anonymous@undisclosed.example.com) https://dvillers.umons.ac.be/wiki/teaching:methcalchim:partial_differential_equation?rev=1647503435&do=diff Numerical solutions of PDE * Finite element method * Finite volume method * Boundary element method * Spectral method * Multigrid methods * ... * Numerical partial differential equations However, the finite difference method can be more easliy applied to a lot of classical PDE. In this method, functions are represented by their values at certain grid points and derivatives are approximated through differences in these values.$$\frac{\partial T}{\partial t} = \kappa\left(\frac{…