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- methcalchim
- === Mathematical prerequisites==== ==== Programming bases and tools ==== * Python programming language * [[http://www.learnpython.org/|LearnPython.org]] interactive tutorial with code execution * [[https://www.datacamp.com/courses/intro-to-python-for-data-science|DataCamp free cours
- numerical_methods_for_ordinary_differential_equations
- ====== Integration of Ordinary Differential Equations ====== * [[wp>Ordinary_differential_equation|Ordinary Differential Equations]] (ODE, ODEs) * [[wp>Numerical_methods_for
- system_of_linear_equations
- ====== System of linear equations ====== <note tip>Numerical methods used to solve such problem allow to introduce and experiment on [[wp>Time_complexity]], considering cubic time behavior of standard algorithms and //i.e.// quadratic time solutions using LU decomposition.</note> ===== Theory ===== *
- partial_differential_equation
- ===== Numerical solutions of PDE ====== <note warning>In general, the numerical solutions of partial differential equations are obtained by standard methods developped and implemented in specialized softwares : * Finite element method
- root-finding_algorithm
- ====== Root findings : equations f(x) = 0 ====== <note tip> Algorithm used to find roots of an equation use iterations, and a numer... airstow's method]] is an efficient algorithm for finding the roots of a real polynomial of arbitrary d
- numerical_integration
- ====== Numerical integration ====== <note tip> Calculation of definite integrals implies to replace the function by another one (usually a polynomial form) which is a go... proximation and easier to compute. [[wp>Numerical_integration#Conservative_.28a_priori.29_error_estima
- eigenvalues_and_eigenvectors
- r iteration]], a simple numerical algorithm producing a number $\lambda$, the greatest (in absolute value) eigenvalue of a matrix $A$, and the corresponding eigenvector $v$, such that $Av=\lambda v$. * LR algorithm, developed by Heinz Rutishauser (1958 ?) * [[wp>QR_algorithm|QR