teaching:methcalchim:numerical_integration

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teaching:methcalchim:numerical_integration [2016/11/25 14:35] villersdteaching:methcalchim:numerical_integration [2018/10/09 07:59] (Version actuelle) villersd
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   * If intervals between interpolation points vary :   * If intervals between interpolation points vary :
     * [[wp>Gaussian_quadrature]]     * [[wp>Gaussian_quadrature]]
 +  * Chapter 4 in the book “Numerical Recipes” : Integration of Functions
 +    * 4.0 Introduction
 +    * 4.1 Classical Formulas for Equally Spaced Abscissas
 +    * 4.2 Elementary Algorithms
 +    * 4.5 Gaussian Quadratures and Orthogonal Polynomials
 +  * Python SciPy library : [[https://docs.scipy.org/doc/scipy/reference/|SciPy Reference]]
 +    * [[https://docs.scipy.org/doc/scipy/reference/tutorial/integrate.html|Integration (scipy.integrate)]]
 +
 +===== Applications =====
 +  * Perform better integration calculus compare to [[https://pubs.acs.org/doi/10.1021/acs.jchemed.8b00193|Employing Spreadsheets for Applying Calculus in Upper-Level Chemistry Courses]] Paul D. Cooper, J. Chem. Educ., 2018, 95 (10), pp 1890–1893 DOI: 10.1021/acs.jchemed.8b00193
  
 ===== Références ===== ===== Références =====
   * Numerical recipes, The Art of Scientific Computing 3rd Edition, William H. Press, Saul A. Teukolsky, William T. Vetterling, Brian P. Flannery, 2007, isbn: 9780521880688   * Numerical recipes, The Art of Scientific Computing 3rd Edition, William H. Press, Saul A. Teukolsky, William T. Vetterling, Brian P. Flannery, 2007, isbn: 9780521880688
     * [[http://numerical.recipes/]]     * [[http://numerical.recipes/]]
 +      * in C : [[http://apps.nrbook.com/c/index.html]]
     * [[http://www2.units.it/ipl/students_area/imm2/files/Numerical_Recipes.pdf]], p 129...     * [[http://www2.units.it/ipl/students_area/imm2/files/Numerical_Recipes.pdf]], p 129...
     * [[http://apps.nrbook.com/empanel/index.html#]]     * [[http://apps.nrbook.com/empanel/index.html#]]
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