Orthogonal collocation

Orthogonal collocation is a method for the numerical solution of partial differential equations. It uses collocation at the zeros of some orthogonal polynomial to transform the partial differential equation (PDE) to a set of ordinary differential equations (ODEs). The ODEs can then be solved by any method. It has been shown that it is usually advantageous to choose the collocation points as the zeros of the corresponding Jacobi polynomial (independent of the PDE system).

This applied mathematics-related article is a stub. You can help Wikipedia by expanding it.v · Categories: Numerical differential equations Applied mathematics stubs Wikimedia Foundation. 2010. Игры ⚽ Поможем написать реферат Orthogenysuchus Orthogonal (novel) Look at other dictionaries: Gauss pseudospectral method — The Gauss Pseudospectral Method (abbreviated GPM ) is a direct transcription method for discretizing a continuous optimal control problem into a nonlinear program (NLP). The Gauss pseudospectral method differs from several other pseudospectral… …   Wikipedia Chebyshev polynomials — Not to be confused with discrete Chebyshev polynomials. In mathematics the Chebyshev polynomials, named after Pafnuty Chebyshev,[1] are a sequence of orthogonal polynomials which are related to de Moivre s formula and which can be defined… …   Wikipedia Polynomial interpolation — In the mathematical subfield of numerical analysis, polynomial interpolation is the interpolation of a given data set by a polynomial. In other words, given some data points (such as obtained by sampling), the aim is to find a polynomial which… …   Wikipedia List of numerical analysis topics — This is a list of numerical analysis topics, by Wikipedia page. Contents 1 General 2 Error 3 Elementary and special functions 4 Numerical linear algebra …   Wikipedia 18+ © Academic, 2000-2024 Contact us: Technical Support, Advertising Dictionaries export, created on PHP, Joomla, Drupal, WordPress, MODx. Mark and share Search through all dictionaries Translate… Search Internet Share the article and excerpts Direct link … Do a right-click on the link above and select “Copy Link”