Emeritus Professor Ian Hugh Sloan

Emeritus Professor Ian Hugh Sloan

Fields of research: Numerical Solution of Differential and Integral Equations, Numerical Analysis, Approximation Theory and Asymptotic Methods, Analysis of Algorithms and Complexity
Campus: Kensington
Tag: Expanding Knowledge

ABOUT ME

 

Biography

My research is broadly in computation mathematics, numerical analysis and approximation theory.

Education

  • BSc in Physics (Melbourne 1958)
  • BA (Hons) in Mathematics (Melbourne, 1960)
  • MSc in Mathematical Physics (Adelaide, 1961)
  • PhD in Theoretical Physics (London, 1964).

 

RESEARCH

 

Research Goals

  • Excellence in computational mathematics at an international level

Research in Detail

After an early research career in theoretical physics, I turned to computational...

ABOUT ME

 

Biography

My research is broadly in computation mathematics, numerical analysis and approximation theory.

Education

  • BSc in Physics (Melbourne 1958)
  • BA (Hons) in Mathematics (Melbourne, 1960)
  • MSc in Mathematical Physics (Adelaide, 1961)
  • PhD in Theoretical Physics (London, 1964).

 

RESEARCH

 

Research Goals

  • Excellence in computational mathematics at an international level

Research in Detail

After an early research career in theoretical physics, I turned to computational mathematics, which I think of as the rigorous application of mathematics to develop new and improved methods for the approximate solution of mathematically challenging problems in science, engineering, and other fields {mathematical finance being a key new area). I have worked with integral equations, partial differential equations, the complexity of continuous problems, numerical integration, and approximation and other areas. Of particular interest these days are problems involving a very large number of continuous variables (where we working to overcome the “curse of dimensionality), and problems of integration and approximation over spheres, often coming from geophysics. .

Research Grants

    • ARC Discovery Grant 2011 – 2013 (jointly with Frances Kuo) Very High Dimensional Computation – the New Frontier in Numerical Analysis
    • ARC Discovery Grant 2012 – 2014 (jointly with Josef Dick) Mathematics in the Round – the Challenge of Computational Analysis on Spheres

Current Student Projects (PhD and Honours)

Numerical analysis of high dimensional computation.

Approximation schemes on spheres

The effect of filtering on quality of approximation.

Supervision Opportunities/Areas

There are good opportunities for PhD supervision for students with a strong background in mathematics, especially analysis

Advice for prospective students

The Computational Mathematics Group at UNSW is a vibrant group, with excellent international connections. It is an attractive destination for enthusiastic students with strong mathematical talents.

 

TEACHING & OUTREACH

Professional affiliations and service positions

I was formerly President of the International Council for Industrial and Applied Mathematics

Elected Fellow of SIAM, 2009

Elected Fellow of the American Mathematical Society, 2012

 

AWARDS & ACHIEVEMENTS

 

Elected Fellow of the Australian Academy of Science, 1993

Scientia Professsor UNSW, 1999

Lyle Medal of the Australian Academy of Science 2001

Szekeres Medal of the Australian Mathematical Society 2002

Information Based Complexity Prize 2005

Appointed Officer of the Order of Australia, 2008

Elected Fellow of the Royal Society of new South Wales, 2014


My Expertise

Boundary integral equations, high dimensional integration and approximation, information-based complexity, multivariate approximation theory, numerical analysis of integral and partial differential equations

Location

School of Mathematics and Statistics
University of New South Wales
Sydney NSW 2052
The Red Centre
Room 2072

Contact

9385 7038
9385 7123