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- methcalchim
- .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"]] * [[
- numerical_methods_for_ordinary_differential_equations
- e_Runge.E2.80.93Kutta_methods|Adaptative stepsize control for Runge-Kutta methods]] * [[wp>Predictor–corrector_method|Predictor–corrector method]] * [[wp>Richardson_extrapolation|Richardson extrapolati... olutions for certain parameter values and initial conditions. In particular, the Lorenz attractor is a
- system_of_linear_equations
- em 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 ===== * [[wp>Sys... * [[wp>Pivot_element]], pivoting * [[wp>LU_decomposition]] * [[wp>Triangular_matrix#Forward_a
- eigenvalues_and_eigenvectors
- solute value) eigenvalue of a matrix $A$, and the corresponding eigenvector $v$, such that $Av=\lambda... ithm|QR algorithm]] ===== Applications ===== * collisional relaxation * //e.g.// [[https://pubs.acs.org/doi/abs/10.1021/ed066p142|Collisional relaxation via eigenfunction-eigenvalue ... nalysis (molecular vibrations) * PCA (principal component analysis) * Schrödinger equation in quan
- numerical_integration
- form) which is a good approximation and easier to compute. [[wp>Numerical_integration#Conservative_.28a_priori.29_error_estimation|Error estimation]] depe... ] * [[wp>Trapezoidal_rule]] * [[wp>Newton–Cotes_formulas]] * [[wp>Simpson's_rule#Composite_Simpson.27s_rule|Simpson's rule and composite Simps
- partial_differential_equation
- in these values. One of the most usual problems concern the chemical and thermal diffusion problem, in either steady and unsteady conditions, for which same equations apply. The [[wp... less numbers,... * Space discretization * second-order central finite differences, first and second derivatives * Time discretization, Euler appro
- root-finding_algorithm
- fficiently accurate value is reached. The rate of convergence depends on the used method and the funct... ml|polynomial module]], including polyroots(c) to compute the roots of a polynomial. * [[wp>Bisectio... nd robust method, but relatively slow. It assumes continuity of the function, and obtain one roots. Th... cant_method|Secant method]] (retains the last two computed points) * [[wp>False_position_method|Regu