An interval arithmetic method is described for finding the global maxima or minima of multivariable functions. The original domain of variables is divided successively, and the lower and the upperâ€¦ (More)

This paper deals with curve fitting by a piecewise cubic polynomial which is continuous with its first derivative. A knot is inserted successively until a certain criterion is satisfied. Then aâ€¦ (More)

A method is described for fitting a piecewise cubic polynomial to a sequence of data by a onepass method. The polynomial pieces are calculated as the data is scanned only once from left to right. Theâ€¦ (More)

The nonlinear interpolation of functions of very many variables is discussed. Deterministic termwise assessment of a prohibitively large number of terms naturally leads to a choice of random samplingâ€¦ (More)

Interval Analysis methods have been applied for obtaining the global optimum of the multimodal multivariable functions. We discuss here the multicriterion optimization problem, where severalâ€¦ (More)

The numerical interpolation of multivariable functions has been solved before by the Monte Carlo method, where data points are assumed to be given on discrete lattice points. When data points areâ€¦ (More)

Numerical evaluation of integrals in two or more dimensions has been developed mainly for simple regions such as cube, sphere, simplex, etc. This paper deals with numerical integration in a closedâ€¦ (More)