Now showing items 1-10 of 14
End conditions for cubic spline interpolation
A class of end conditions is derived for cubic spline interpolation at equally spaced knots. These conditions are in terms of function values at the knots and give rise to O(h4) spline approximations. © 1978, by Academic ...
Improved orders of approximation derived from interpolatory cubic splines
Let s be a cubic spline, with equally spaced knots on [a, b] interpolating a given function y at the knots. The parameters which determine s are used to construct a piecewise defined polynomial P of degree four. It is shown ...
REGIONAL POLICIES (Book Review)
Reviews the book 'Regional Policies--The Current Outlook.'
The determination of consistent orderings for the SOR iterative method
A p-cyclic matrix A can always be transformed into a consistently ordered form PAPT, where P is a permutation matrix. In this paper simple and systematic techniques are described for establishing the cyclicity of a matrix ...
Numerical techniques for two-dimensional laplacian problems
Two numerical methods, an integral equation method and a conformal transformation method, are described for the solution of harmonic boundary value problems. The methods are designed to deal with problems involving curved ...
Digraph analysis of large-scale systems: The system primitive
Mapping differential equations into digraphs is shown to give additional insight into system properties, such as controllability and observability. The concept of the system primitive is introduced. © 1979, The Institution ...
Treatment of harmonic mixed boundary problems by conformal transformation methods
A method consisting of three conformal transformations is used for the numerical solution of a class of harmonic mixed boundary value problems containing boundary singularities. The method, although less flexible than the ...
The bergman kernel method for the numerical conformal mapping of simply connected domains
A numerical method for the conformal mapping of simply-connected domains onto the unit disc is considered. The method is based on the use of the Bergman kernel function of the domain. It is shown that, for a successful ...
On the use of conformal transformations for the numerical solution of harmonic boundary value problems
Certain aspects concerned with the application of a conformal transformation method for the numerical solution of harmonic boundary value problems are considered. In particular, a procedure is decribed for removing the ...