John R. Rice: Mathematical Software Pioneer

Mathematical Aspects of Scientific Software

The goal is to survey the impact of scientific software on mathematics. Three types of impacts are identified and several topics from each are discussed in some depth. First is the impact on the structure of mathematics through its Tole as the scientific tool for problem solving. Scientific software leads to new assessments of what algorithms are, how well they work, and what a solution really ...

Pioneer anomaly and the helicity-rotation coupling

The modification of the Doppler effect due to the coupling of the helicity of the radiation with the rotation of the source/receiver is considered in the case of the Pioneer 10/11 spacecraft. We explain why the Pioneer anomaly is not influenced by the helicity-rotation coupling. PACS: 03.30.+p ; 04.20.Cv

Some Topological Indices of Nanostar Dendrimers

Wiener index is a topological index based on distance between every pair of vertices in a graph G. It was introduced in 1947 by one of the pioneer of this area e.g, Harold Wiener. In the present paper, by using a new method introduced by klavžar we compute the Wiener and Szeged indices of some nanostar dendrimers.

The Architecture of PDE Solving Systems

We presenL an architecture for high level systems for solving partial differential equations. The solution process is examined in some detail and components offuture systems systematically identified. We discuss the principal non-numerical technical challenges: software integration and reuse, resource management, and expert system development. We also discuss some of the numerical/mathematical ...

Future Scientific Software Systems