Seminario IMC: Regularised numerical steepest descent methods for highly oscillatory integrals
6 de Abril, 2026
El Instituto de Ingeniería Matemática y Computacional (IMC) invita al seminario que se dictará el miércoles 8 de abril.
Miércoles 8 de abril de 2026, 13:40 hrs. (Presencial en auditorio Edificio San Agustín. Link Zoom disponible escribiendo a imc@uc.cl)
ABSTRACT
The evaluation of highly oscillatory integrals is an important topic in many areas of computational wave propagation. The Numerical Steepest Descent (NSD) method is a powerful approach to computing such integrals, which combines complex contour deformation with quadrature rules. However, for fixed frequencies NSD may lose accuracy when stationary points are close with each other, or with endpoints of the integration contour. This issue can be dealt with standard quadrature inside neighbourhoods of stationary points, in which the number of oscillations is bounded and small, combined with NSD techniques away from stationary points. In this talk, I will present a simple “black-box” interface that automates contour deformation and integration, and describe a novel framework to rigorously analyse the numerical convergence of this class of methods.
BIO
I completed my degree of Mathematical Civil Engineering and MSc in Applied Mathematics at PUC (2023). Since 2023, I am pursuing a PhD in Mathematics at University College London. My research concerns are the design and analysis of numerical methods related to wave propagation. This involves rigorous analysis, mathematical modelling and algorithmic implementations.
