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Numerical Analysis: Difference between revisions
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==Orthogonal Polynomials== | ==Orthogonal Polynomials== | ||
===Hermite Polynomials=== | ===Hermite Polynomials=== | ||
{{main | Wikipedia: Hermite polynomials}} | |||
===Legendre Polynomials=== | ===Legendre Polynomials=== | ||
{{main | Wikipedia: Legendre polynomials}} | |||
===Laguerre Polynomials=== | ===Laguerre Polynomials=== | ||
{{main | Wikipedia: Laguerre polynomials}} | |||
==Nonlinear Equations== | ==Nonlinear Equations== | ||
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==Numerical Integration== | ==Numerical Integration== | ||
See Quadrature rules | See Quadrature rules | ||
==Function Approximation== | |||
===Radial Basis Functions (RBF)=== | |||
See [http://num.math.uni-goettingen.de/schaback/teaching/sc.pdf A Practical Guide to Radial Basis Functions]. | |||
Radial Basis Functions are functions which are only dependent on the radius of the input: <math>\mathbf{\phi}(\mathbf{x}) = \phi(\Vert x\Vert)</math> | |||