Numerical Construction of the Hill Functions | Zendy

Jitka Segethová | Zendy

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Numerical Construction of the Hill Functions

Author(s) -

Jitka Segethová

Publication year - 1972

Publication title -

siam journal on numerical analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.78

H-Index - 134

eISSN - 1095-7170

pISSN - 0036-1429

DOI - 10.1137/0709018

Subject(s) - mathematics , legendre polynomials , orthogonality , order (exchange) , ordinary differential equation , convolution (computer science) , legendre function , mathematical analysis , differential equation , combinatorics , geometry , machine learning , computer science , finance , artificial neural network , economics

summary:The matrix of the system of linear algebraic equations, arising in the application of the finite element method to one-dimensional problems, is a bandmatrix. In approximations of high order, the band is very wide but the elements situated far from the diagonal of the matrix are negligibly small as compared with the diagonal elements. The aim of the paper is to show on a model problem that in practice it is possible to work with a matrix of the system the bandwidth of which is reduced. A simple numerical example illustates the discussion

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