Stable Computations with Gaussian Radial Basis Functions

Radial basis function (RBF) approximation is an extremely powerful tool for representing smooth functions in nontrivial geometries since the method is mesh-free and can be spectrally accurate. A perceived practical obstacle is that the interpolation matrix becomes increasingly ill-conditioned as the...

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Vydáno v:	SIAM journal on scientific computing Ročník 33; číslo 2; s. 869 - 892
Hlavní autoři:	Fornberg, Bengt, Larsson, Elisabeth, Flyer, Natasha
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Philadelphia, PA Society for Industrial and Applied Mathematics 01.01.2011
Témata:	Algebra Algorithms Approximation Approximations and expansions Computation Dimensional analysis Exact sciences and technology Linear and multilinear algebra, matrix theory Mathematical analysis Mathematics Matlab Methods of scientific computing (including symbolic computation, algebraic computation) Normal distribution Numerical analysis Numerical analysis. Scientific computation Numerical approximation Obstacles Sciences and techniques of general use Studies Three dimensional Two dimensional Three-dimensional calculations ill-conditioning shape parameter Numerical linear algebra Algorithm Surface Numerical approximation Geometry Sphere Interpolation radial basis function Numerical analysis Scientific computation stable Smooth function Condition number 65D05 Two-dimensional calculations 65D15 65F35 Mesh method
ISSN:	1064-8275, 1095-7197, 1095-7197
On-line přístup:	Získat plný text
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