EqWorld

The EqWorld website http://eqworld.ipmnet.ru is a much needed
internet-world of Mathematical equations maintained by an international collaboration. It's a one-stop source of extensive information on algebraic, ordinary differential, partial differential, integral, functional, and other mathematical equations.

All link pages are useful and opens up various aspects of the wonderful world of these equations. Page-links outline exact solutions and some methods for solving equations and include interesting articles. It also provides links to math software websites and lists useful handbooks, textbooks, etc.

The website contains over 1500 web pages. All resources presented on EqWorld are free to its users.

MTL: Matrix Template Library

The Matrix Template Library (MTL) is a collection of generic components for high performance scientific computing, which provides comprehensive linear algebra functionality for a wide variety of matrix formats. MTL is not a "class library." The fundamental paradigm behind a class library is object-orientation. The fundamental paradigm behind MTL is genericity.

MTL uses a five-fold approach, consisting of generic functions, containers, iterators, adaptors, and function objects, all developed specifically for high performance numerical linear algebra. Within this framework, MTL provides generic algorithms corresponding to the mathematical operations that define linear algebra. Similarly, the containers, adaptors, and iterators are used to represent and to manipulate concrete linear algebra objects such as matrices and vectors.

Its targeted platform is ANSI C++ platform such as Unix/Linux. MTL has been tested on the following platforms: IRIX64 6.4, SunOS 5.6, Linux 2.0.35, Windows NT. The ANSI C++ compiler is needed to run it.

The current version is 2.1.2-22 and it's available free for non-commercial use from http://osl.iu.edu/research/mtl/

Ramanujan Prize 2006

Indian Mathematician R Sujatha of Tata Institute of Fundamental Research (TIFR), Mumbai has been awarded the Srinivasa Ramanujan Prize for Mathematics for 2006. Presented for the second time, the prize carries a $10,000 cash award honouring the outstanding research of mathematical scientists in developing countries.

By giving her the honor, the Ramanujan jury recognises Sujatha's work on the arithmetic of algebraic varieties and her substantial contributions to the Iwasawa theory. She formulated a non-commutative version of the theory's main conjecture in cooperation with several colleagues. This innovation drives much of the current work in this particular mathematical subject.

R Sujatha, aged 44, received all her university education in India and has been with the TIFR since 1985, where she is currently an associate professor in the School of Mathematics. She received her PhD at the University of Mumbai in 1991.

The Abdus Salam International Centre for Theoretical Physics (ICTP) founded the Ramanujan Prize in 2005 to annually support a scientist younger than 45 years in any mathematical branch from a developing country. In addition to the cash award, the prize winner will be invited to an ICTP meeting to deliver a lecture. The award ceremony will take place on December 18 in Trieste, Italy.

The Ramanujan Prize is supported by the Norwegian Academy of Science and Letters through the Abel Fund, with the cooperation of the International Mathematical Union.

Comsol's Acoustics Module

Scientists and engineers interested in creating and measuring sound or acoustic waves will find new simulation capabilities in 'Acoustics Module' introduced by Swedish company Comsol (read about its partial differential equation solver, Femlab in our past posting). It is ideal for examining linear mechanical wave phenomena in structures and fluids. It is designed specifically for those who work with devices that generate, measure, and use acoustic waves. Users can model wave propagation in solids and stationary fluids, and can study aeroacoustics in moving fields.

Application areas include the audio industry, such as for loudspeaker design, whether as standalone speakers or those embedded into electronic appliances such as cell phones; for underwater object detection and characterisation; and far-field processing to predict radiation patterns and signal strength.

The module provides a variety of application modes, which offer tailored user interfaces loaded with predefined settings important for acoustics applications. Users create or import a geometry, fine-tune the physics settings, and solve the problem.

The modeling of acoustics-structure interaction is easily done within the Acoustics Module, particularly for applications such as the design of SONAR devices transducers for use in medical and non-destructive testing applications and noise and vibration. It also contains a specific interface for modeling aeroacoustics, especially for the control of aircraft engine noise, while making use of its general multiphysics ability provides further accuracy to classical acoustics.

For details, visit: http://www.comsol.com/products/acoustics/