In this paper we present several efficient methods for evaluating functions defined by power series expansions. Simple computer codes for two rapid algorithms are given in a companion paper. The… (More)

Let ƒ have <italic>n</italic> continuous derivatives on a closed interval [<italic>a, b</italic>] and let <italic>L</italic> be a linear functional. The attempt is made to approximate… (More)

This paper describes a package of computer programs for the unified treatment of initial-value problems for systems of ordinary differential equations. The programs implement a numerical method which… (More)

This paper describes two computer codes for calculating the sum of power series, belonging to a certain general class. The use of the codes for an illustrative test example is explained. In dieser… (More)

Seven day old wheat and maize seedlings were exposed to 1300 or 2000 microeinsteins per square meter per second photosynthetically active radiation in CO(2)-free air for 3 hours with either 1% O(2)… (More)

Many problems in the design and implementation of computational schemes may be studied using the theory and methods of mathematical programming. One seeks to minimize bounds for the errors in the… (More)

As shown inGustafson-Dahlquist [3] the computation of a large class of slowly convergent Fourier integrals can be cast into the problem of evaluating a certain Stieltjes integral over the interval… (More)