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Robust numerical methods for problems with layers

The department of Mathematics and Statistics at the University of Limerick invites you to a seminar by Prof. Eugene O'Riordan (Dublin City University)

Title: Robust numerical methods for problems with layers

Abstract: Singularly perturbed differential equations are often characterized by the presence of a small parameter multiplying the highest order derivative term(s) in the differential equation. The solutions typically exhibit steep gradients in narrow regions (often called layers)  of the domain. Given the presence of layers, global (as opposed to simply nodal) accuracy is required.  In estimating the accuracy of any proposed approximate solutions, it is important to discuss the choice of norm used to measure such accuracy. Standard numerical methods typically fail to accurately capture these layers. If one can establish some basic asymptotic information, robust numerical methods can be designed to generate pointwise accurate numerical approximations to the continuous solution throughout the entire domain and to the appropriately scaled derivatives of the solution. This talk will  outline the rationale for the definition of parameter-uniform numerical methods and it will also highlight some of the central tools used in the numerical analysis associated with these singularly perturbed problems. 

This seminar will take place on Friday, February 10, at 4pm, in A2-002.

If you have any questions regarding this seminar, please direct them to Iain Moyles (061 233726, iain.moyles@ul.ie).

A full list of upcoming seminars can be found at http://www.ulsites.ul.ie/macsi/node/48011

Supported by Science Foundation Ireland funding, MACSI - the Mathematics Applications Consortium for Science and Industry (www.macsi.ul.ie), centred at the University of Limerick, is dedicated to the mathematical modelling and solution of problems which arise in science, engineering and industry in Ireland.

 

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