High-Precision Computation: Mathematical Physics and Dynamics

Host Institution:

University of Newcastle

Title of Seminar:

High-Precision Computation: Mathematical Physics and Dynamics

Speaker's Name:

Professor Jonathan Borwein

Speaker's Institution:

CARMA, University of Newcastle

Time and Date:

2 June 2010 at 2:00 pm AEST

Seminar Abstract:

 

At the present time, IEEE 64-bit floating-point arithmetic is sufficiently accurate for most scientific applications. However, for a rapidly growing body of important scientific computing applications, a higher level of numeric precision  is required.  Such calculations are facilitated by high-precision software packages that include high-level language translation modules to minimize the conversion effort.

This talk and associated paper presents a survey of  recent applications of these techniques and provides some  analysis of their numerical requirements.  These applications include supernova simulations,  climate modeling, planetary orbit calculations, Coulomb n-body atomic systems, studies of the fine structure constant, scattering amplitudes of quarks, gluons and bosons, nonlinear oscillator theory, experimental mathematics, evaluation of orthogonal polynomials, numerical integration of ODEs, computation of periodic orbits, studies of the splitting of separatrices, detection of strange nonchaotic attractors, Ising theory, quantum field theory, and discrete dynamical systems. We conclude that high-precision arithmetic facilities are now an indispensable component of a modern large-scale scientific computing environment.

This is joint work with D. Bailey (Lawrence Berkeley) and R. Barrio (Zaragoza) who have a published paper.

 

Seminar Convenor:

 

AGR IT support:

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