Wolfram Research

About: Wolfram Research is a company organization based out in Champaign, Illinois, United States. It is known for research contribution in the topics: Polynomial & Symbolic computation. The organization has 85 authors who have published 219 publications receiving 7836 citations. The organization is also known as: Wolfram Research, Inc. & wolfram.com.

Mathematica: a system for doing mathematics by computer (2nd ed.)

Abstract: This book will be released simultaneously with Release 2.0 of Mathematica and will cover all the new features of Release 2.0. This new edition maintains the format of the original book and is the single most important user guide and reference for Mathematica--all users of Mathematica will need this edition. Includes 16 pages of full-color graphics.

CRC Concise Encyclopedia of Mathematics

Abstract: Terms related to mathematics, physics, biochemistry, chemistry, biophysics and engineering organized alphabetically, including definition, formula, illustration, and bibliographic information.

Superstars and giant gravitons

Abstract: We examine a family of BPS solutions of ten-dimensional type-IIB supergravity. These solutions asymptotically approach AdS5 × S5 and carry internal `angular' momentum on the five-sphere. While a naked singularity appears at the center of the anti-de Sitter space, we show that it has a natural physical interpretation in terms of a collection of giant gravitons. We calculate the distribution of giant gravitons from the dipole field induced in the Ramond-Ramond five-form, and show that these sources account for the entire internal momentum carried by the BPS solutions.

A numerical evaluation of sparse direct solvers for the solution of large sparse symmetric linear systems of equations

Abstract: In recent years a number of solvers for the direct solution of large sparse symmetric linear systems of equations have been developed. These include solvers that are designed for the solution of positive definite systems as well as those that are principally intended for solving indefinite problems. In this study, we use performance profiles as a tool for evaluating and comparing the performance of serial sparse direct solvers on an extensive set of symmetric test problems taken from a range of practical applications.