ISSN:
0945-3245
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary The classical Ritz-Galerkin method is applied to a linear, second-order, self-adjoint boundary value problem. The coefficient functions of the operator exhibit a piecewise smooth behaviour characteristic of some “physical” situations. A trial function is constructed using a modified quintic smooth Hermite space $$\tilde H_0^{(3)} (\pi )$$ , in order to meet some desired regularity conditions for the approximate solution. A collocation technique is used to reduce the amount of computational work. Known convergence properties for the projection method are recalled which, in this particular case, are illustrated by a series of numerical experiments.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01399081
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