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methcalchim

146 Occurrences trouvées, Dernière modification : il y a 14 mois

==== Synopsis (english) ===== ==== Mathematical prerequisites==== ==== Programming bases and tools ==== * Python programming language * [[http://w... ourses/intro-to-python-for-data-science|DataCamp free course "Intro to Python for Data Science"]] ... ebsite and dedicated websites) * GNU/Linux OS (preferred) * Jupyter introductions, tutorials, ...

numerical_methods_for_ordinary_differential_equations

67 Occurrences trouvées, Dernière modification : il y a 22 mois

====== Integration of Ordinary Differential Equations ====== * [[wp>Ordinary_differential_equation|Ordinary Differential Equations]] (ODE, ODEs) * [[wp>Numerical_methods_for_ordinary_differential_equations|Numerical methods for ordinary dif

partial_differential_equation

26 Occurrences trouvées, Dernière modification : il y a 2 ans

general, the numerical solutions of partial differential equations are obtained by standard methods developped and implemented in specialized softwares : * Finite element method * Finite volume me... nciples. </note> * [[wp>Numerical_partial_differential_equations|Numerical partial differential equ

eigenvalues_and_eigenvectors

22 Occurrences trouvées, Dernière modification : il y a 3 ans

ical algorithm producing a number $\lambda$, the greatest (in absolute value) eigenvalue of a matrix $A$, and the corresponding eigenvector $v$, such that $Av=\lambda v$... rithm]] ===== Applications ===== * collisional relaxation * //e.g.// [[https://pubs.acs.org/doi/abs/10.1021/ed066p142|Collisional relaxation via eigenfunction-eigenvalue expansion: A

system_of_linear_equations

22 Occurrences trouvées, Dernière modification : il y a 6 ans

bstitution]] * Chapter 2 in the book "Numerical Recipes" : * 2.0 Introduction * 2.1 Gauss-Jo... Py]] library : [[https://docs.scipy.org/doc/numpy/reference/index.html|NumPy Reference]] * [[https://docs.scipy.org/doc/numpy/reference/routines.linalg.ht

root-finding_algorithm

20 Occurrences trouvées, Dernière modification : il y a 6 ans

a solution when a sufficiently accurate value is reached. The rate of convergence depends on the used... an efficient algorithm for finding the roots of a real polynomial of arbitrary degree * [[https://docs.scipy.org/doc/numpy/reference/routines.polynomials.html|Polynomials in NumPy]]

numerical_integration

19 Occurrences trouvées, Dernière modification : il y a 6 ans

tip> Calculation of definite integrals implies to replace the function by another one (usually a polyn... imation]] depends on parameters of the method and refinement of spatial grid discretization. It is interesting to check these errors using various algorithm and mesh resolution. </note>