Numerical steepest descent for singular and oscillatory integrals

Add to your list(s) Download to your calendar using vCal

• Andrew Gibbs (University College London)
• Monday 09 December 2019, 14:30-15:00
• Seminar Room 1, Newton Institute.

If you have a question about this talk, please contact INI IT.

CATW03 - Computational complex analysis

Co-Authors: Daan Huybrechs, David Hewett

When modelling high frequency scattering, a common approach is to enrich the approximation space with oscillatory basis functions. This can lead to a significant reduction in the DOFs required to accurately represent the solution, which is advantageous in terms of memory requirements and it makes the discrete system significantly easier to solve. A potential drawback is that the each element in the discrete system is a highly oscillatory, and sometimes singular, integral. Therefore an efficient quadrature rule for such integrals is essential for an efficient scattering model. In this talk I will present a new class of quadrature rule we have designed for this purpose, combining Numerical Steepest Descent (which works well for oscillatory integrals) with Generalised Gaussian quadrature (which works well for singular integrals).

This talk is part of the Isaac Newton Institute Seminar Series series.

This talk is included in these lists:

• All CMS events
• Featured lists
• INI info aggregator
• Isaac Newton Institute Seminar Series
• School of Physical Sciences
• Seminar Room 1, Newton Institute
• bld31

Note that ex-directory lists are not shown.