Browsing by Subject "MATHEMATICAL TECHNIQUES"
Now showing items 114 of 14

Article
The Almansi method of fundamental solutions for solving biharmonic problems
(1988)A new fundamental solutions method for the numerical solution of two‐dimensional biharmonic problems is described. In this method, which is based on the Almansi representation of a biharmonic function in the plane, the ...

Article
Cubic and quintic splineonspline interpolation
(1987)This paper is concerned with the cubic splineonspline procedure considered by Dolezal and Tewarson [3]. We show that when the knots are equally spaced, with spacing h, then the order of accuracy of the splineonspline ...

Article
Cubic spline interpolation of harmonic functions
(1974)It is shown that for the two dimensional Laplace equation a univariate cubic spline approximation in either space direction together with a difference approximation in the other leads to the wellknown ninepoint ...

Article
A cubic spline method for the solution of a linear fourthorder twopoint boundary value problem
(1981)A cubic spline method is described for the numerical solution of a twopoint boundary value problem, involving a fourth order linear differential equation. This spline method is shown to be closely related to a known fourth ...

Article
End conditions for improved cubic spline derivative approximations
(1981)We consider the problem of deriving accurate end conditions for cubic spline interpolation at equally spaced knots. In particular we derive a number of end conditions which lead to derivative approximations of high accuracy. ...

Article
End conditions for interpolatory cubic splines with unequally spaced knots
(1980)A class of end conditions is derived for cubic spline interpolation at unequally spaced knots. These conditions are in terms of function values at the knots and lead to 0 (h4) convergence uniformly on the interval of ...

Article
FREQUENCY DOMAIN CONDITIONS FOR STRICTLY POSITIVE REAL FUNCTIONS.
(1987)Frequencydomain conditions for strictly positive real (SPR) functions which appear in literature are often only necessary or only sufficient. This point is raised by B. D. O. Anderson and S. Vongpanitlerd (1973), and J. ...

Article
Improved orders of approximation derived from interpolatory cubic splines
(1979)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 ...

Article
Numerical techniques for conformal mapping onto a rectangle
(1987)This paper is concerned with the problem of determining approximations to the function F which maps conformally a simplyconnected domain Ω onto a rectangle R, so that four specified points on ∂Ω are mapped respectively ...

Article
Numerical techniques for twodimensional laplacian problems
(1975)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 ...

Article
Poletype singularities and the numerical conformal mapping of doublyconnected domains
(1984)Let f be the function which maps conformally a given doublyconnected domain Ω onto a circular annulus, and let H(z)= f′(z) f(z) 1 z. In this paper we consider the problem of determining the main singularities of the ...

Article
Robust model reference adaptive control for multivariable plants
(1988)A complete procedure for generating and analysing robust model reference adaptive control schemes for multivariable plants is developed. The procedure consists of two parts: the first part involves the characterization of ...

Article
The treatment of corner and poletype singularities in numerical conformal mapping techniques
(1986)This paper is a report of recent developments concerning the nature and the treatment of singularities that affect certain numerical conformal mapping techniques. The paper also includes some new results on the nature of ...

Article
Two numerical methods for the conformal mapping of simplyconnected domains
(1981)Two numerical methods are considered for the conformai mapping of a bounded simplyconnected domain onto the unit disc. The two methods are respectively the Bergman kernel method, which has been described in [17], and the ...