University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > The search for complex singularities in exponential asymptotics

The search for complex singularities in exponential asymptotics

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

If you have a question about this talk, please contact info@newton.ac.uk.

CATW03 - Computational complex analysis

In the last two decades, the development of specialized techniques in mathematics known as exponential asymptotics has led to the successful resolution of long-standing problems in topics as varied as quantum mechanics, crystal growth, dislocations, pattern formation, turbulence, thin film flow, and hydrodynamics. These developments have emerged from the realization that in many such problems, exponentially small effects, linked to the presence of singularities in the analytic continuation of a perturbative solution, can significantly change the solutions of the underlying mathematical models.

However, the majority of problems studied have been one-dimensional in nature (essentially ordinary differential or difference equations). The extension of exponential asymptotics to multi-dimensional problems requires some fundamental advances in our ability to compute numerical analytic continuations of single- and multi-variate complex functions. In this talk, I shall present the basic theory of exponential asymptotics and discuss these open challenges in the context of problems in fluid mechanics.

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

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2020 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity