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- methcalchim
- ttp://www.learnpython.org/|LearnPython.org]] interactive tutorial with code execution * [[https://www.datacamp.com/courses/intro-to-python-for-data-science|DataCamp free course "Intro to Python for Data Science"... earn.com/Course/Python/|Python 3 Tutorial]], interactive, with [[https://code.sololearn.com/#py|code u
- numerical_methods_for_ordinary_differential_equations
- ng and routes to chaos * Oscillating chemical reactions : Belousov-Zhabotinsky, Brusselator, Oregona... initial conditions. In particular, the Lorenz attractor is a set of chaotic solutions of the Lorenz sy... * [[wp>Lorenz_system|Lorenz system]] * [[wp>Attractor#Strange_attractor|Strange attractor]] * Numerical solutions (and codes) : * [[http://www.nod
- numerical_integration
- Calculation of definite integrals implies to replace the function by another one (usually a polynomia... rithm and mesh resolution. </note> * Equally spaced methods : * [[wp>Numerical_integration]] ... uction * 4.1 Classical Formulas for Equally Spaced Abscissas * 4.2 Elementary Algorithms *... er integration calculus compare to [[https://pubs.acs.org/doi/10.1021/acs.jchemed.8b00193|Employing Sp
- partial_differential_equation
- temperature) in a given region over time : $$\frac{\partial T}{\partial t} = \kappa\left(\frac{\partial^2T}{\partial x^2}+\frac{\partial^2T}{\partial y^2}+\frac{\partial^2T}{\partial z^2}\right)$$ * Dimensional analysis, dimen
- root-finding_algorithm
- tion use iterations, and a numerical criterion to accept a solution when a sufficiently accurate value is reached. The rate of convergence depends on the used method and the function f(x). Som... iant]] property : an interval [a, b] is said to bracket a root if f(a) and f(b) have opposite signs.
- eigenvalues_and_eigenvectors
- lisional relaxation * //e.g.// [[https://pubs.acs.org/doi/abs/10.1021/ed066p142|Collisional relaxa... array * SciPy (more complete wrapper on [[wp>LAPACK|LAPACK]] fortran package) * [[https://docs.scipy.org/doc/scipy/reference/linalg.html|scipy.linalg]]
- system_of_linear_equations
- ition]] * [[wp>Triangular_matrix#Forward_and_back_substitution]] * Chapter 2 in the book "Numeri... Elimination * 2.2 Gaussian Elimination with Backsubstitution * 2.3 LU Decomposition and Its A... usion (transient or stationary) on a regular 1D space with equidistant steps. ODE equations can be wri... ill-conditionned, linear systems can be solved "exactly" using linear algebra algorithms in a finite a