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methcalchim
91 Occurrences trouvées, Dernière modification :
== ===== Synopsis (english) ===== ==== Mathematical prerequisites==== ==== Programming bases and too... rnpython.org/|LearnPython.org]] interactive tutorial with code execution * [[https://www.datacamp.... //www.sololearn.com/Course/Python/|Python 3 Tutorial]], interactive, with [[https://code.sololearn.com... ... * package management system (conda), virtual environments * Anaconda Navigator includes ex
partial_differential_equation
36 Occurrences trouvées, Dernière modification :
====== Numerical solutions of PDE ====== <note warning>In general, the numerical solutions of partial differential equations are obtained by standard methods developped and implement
numerical_methods_for_ordinary_differential_equations
34 Occurrences trouvées, Dernière modification :
====== Integration of Ordinary Differential Equations ====== * [[wp>Ordinary_differential_equation|Ordinary Differential Equations]] (ODE, ODEs) * [[wp>Numerical_methods_for_ordinary_differential_equations|Numerical meth
numerical_integration
14 Occurrences trouvées, Dernière modification :
====== Numerical integration ====== <note tip> Calculation of definite integrals implies to replace the function by another one (usually a polynomial form) which is a good approximation and easier to compute. [[wp>Numerical_integration#Conservative_.28a_priori.29_error_est... n parameters of the method and refinement of spatial grid discretization. It is interesting to check t
root-finding_algorithm
13 Occurrences trouvées, Dernière modification :
roots of an equation use iterations, and a numerical criterion to accept a solution when a sufficientl... vative of the function f(x). </note> * Polynomial equations : [[wp>Bairstow's_method|Bairstow's met... efficient algorithm for finding the roots of a real polynomial of arbitrary degree * [[https://docs.scipy.org/doc/numpy/reference/routines.polynomial
system_of_linear_equations
13 Occurrences trouvées, Dernière modification :
ystem of linear equations ====== <note tip>Numerical methods used to solve such problem allow to intro... _substitution]] * Chapter 2 in the book "Numerical Recipes" : * 2.0 Introduction * 2.1 Gauss... e a python function for diagonalisation with partial pivoting * random numbers → linear systems ... ty ==== 1D problems with neigbours ==== * Thermal diffusion and chemical diffusion (transient or st
eigenvalues_and_eigenvectors
10 Occurrences trouvées, Dernière modification :
ower_iteration|Power iteration]], a simple numerical algorithm producing a number $\lambda$, the great... lgorithm]] ===== Applications ===== * collisional relaxation * //e.g.// [[https://pubs.acs.org/doi/abs/10.1021/ed066p142|Collisional relaxation via eigenfunction-eigenvalue expansion... ation Dynamics - CiteSeerX]] * [[http://personal.denison.edu/~ludwigl/2011populationdynamicsandma.