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- methcalchim
- https://www.coursera.org/course/interactivepython|An Introduction to Interactive Programming in Python... te tip>The Microsoft Azure Notebooks environment can be used to execute sample codes, using a professi... tion]] (integrals) * Simpson method and gaussian quadratures <note tip> Learning outcomes : * S... nce, failure, tolerance and stop condition * Van Wijngaardeb-Dekker-Brent method ("black box" in n
- system_of_linear_equations
- [[wp>System_of_linear_equations]] * [[wp>Gaussian_elimination]], Gauss and Gauss-Jordan eliminations (diagonalization, triangularization) * [[wp>Pivo... pes" : * 2.0 Introduction * 2.1 Gauss-Jordan Elimination * 2.2 Gaussian Elimination with Backsubstitution * 2.3 LU Decomposition and Its A
- root-finding_algorithm
- ===== <note tip> Algorithm used to find roots of an equation use iterations, and a numerical criterio... s : [[wp>Bairstow's_method|Bairstow's method]] is an efficient algorithm for finding the roots of a re... a [[wp>Loop_invariant|loop invariant]] property : an interval [a, b] is said to bracket a root if f(a)... 9 in the book "Numerical Recipes" : Root finding an nonlinear sets of equations * 9.0 Introductio
- eigenvalues_and_eigenvectors
- rs]] * Important matrix properties * Hermitian, orthogonality,... * [[wp>Eigenvalue_algorithm|... ore complete wrapper on [[wp>LAPACK|LAPACK]] fortran package) * [[https://docs.scipy.org/doc/scipy... ed/scipy.linalg.eig.html|scipy.linalg.eig]] Solve an ordinary or generalized eigenvalue problem of a s... ess, Saul A. Teukolsky, William T. Vetterling, Brian P. Flannery, 2007, isbn: 9780521880688 * [[ht
- numerical_integration
- ween interpolation points vary : * [[wp>Gaussian_quadrature]] * Chapter 4 in the book “Numerical... s * 4.2 Elementary Algorithms * 4.5 Gaussian Quadratures and Orthogonal Polynomials * Python... ess, Saul A. Teukolsky, William T. Vetterling, Brian P. Flannery, 2007, isbn: 9780521880688 * [[ht
- numerical_methods_for_ordinary_differential_equations
- ess, Saul A. Teukolsky, William T. Vetterling, Brian P. Flannery, 2007, isbn: 9780521880688 * [[ht... Proceedings of the National Academy of Sciences Jan 2021, 118 (4) e2017463118; DOI: 10.1073/pnas.2017
- partial_differential_equation
- ite_difference_method|finite difference method]] can be more easliy applied to a lot of classical PDE.