Journal publications

1. Caussade T, Hewett DP.  Convergence analysis of  Numerical Steepest Descent contour  deformation methods. (in preparation)

2. Caussade T, Paduro E, Courdurier M, Cerpa E, Grill WM, Medina LE. (2023) Towards a more accurate quasi-static approximation of the potential for neurostimulation with kilohertz-frequency sources. J. Neural Eng. 20 066035. preprint paper  git repo 

3. Strauszer-Caussade T, Faria LM, Fernandez-Lado A, Pérez-Arancibia C. (2023) Windowed Green function method for wave scattering by periodic arrays of 2D obstacles. Stud Appl Math; 150: 277–315.  preprint paper  

Mathematical software

• Julia package for oscillatory integration: NumericalSteepestDescent.jl 

Conference proceedings

• "Convergence analysis of numerical steepest descent contour deformation methods". 17th WAVES Conference, 2026. Montreal, Canada.

• "Windowed Green function method for wave scattering by periodic arrays of 2D obstacles". 16th WAVES Conference, 2024. Berlin, Germany. BoA

• "Windowed Green function method for acoustic and electromagnetic wave scattering by periodic media". KIT Conference on Mathematics of Wave Phenomena. Germany 2022. Joint work with Carlos Pérez-Arancibia and Luiz M Faria. BoA

Posters

• "On the numerical steepest descent method for oscillatory integrals with non-entire phase functions". Waves and Imaging Adelaide-Nottingham Colloquium. Nottingham, United Kingdom. Sept. 2025.

• "On the numerical steepest descent method for oscillatory integrals with non-entire phase functions". Singular and Oscillatory integration: applications and advances. London, United Kingdom. Jun. 2024.

• "Error quantification of the quasi-static approximation for the electric neurostimulation modelling". Inverse Problems Methods, Applications and Synergies (IPMAS). Santiago, Chile. Jan. 2023.

• "Quasiperiodic electromagnetic fields". Journées Scientifiques INRIA. Chile 2022 (online)

Talks

• "Convergence analysis of numerical steepest descent contour deformation methods". 17th WAVES Conference, 2026. Montreal, Canada.

• "Regularised numerical steepest descent methods for highly oscillatory integrals". NUMA seminar, KU Leuven, Belgium. May 2026

• "Regularised numerical steepest descent methods for highly oscillatory integrals". SeMACs seminar, PUC, Santiago, Chile. April 2026.

• "Regularised numerical steepest descent methods for highly oscillatory integrals". MWM seminar, UoM, Manchester, UK. March 2026.

• "Numerical steepest descent method for oscillatory integrals with singular phase functions". ICOSAHOM. Montreal, Canada. July 2025.

• "Windowed Green function for wave scattering by periodic arrays of obstacles". Workshop of Waves in Complex Media, Paris. Mar. 2025.

• "An efficient numerical-asymptotic method for high-frequency wave scattering problems". ECR seminar 2025, UCL Mathematics.

• "Implementation of the numerical steepest descent for oscillatory integrals with singular phase function". Workshop on HNABEM, Brunel University London. London, UK. Jan. 2025

• "High-frequency scattering and oscillatory integrals". Postgraduate Seminar, UCL Mathematics. London, UK. Nov. 2024

• Imperial-UCL Numerics seminar. London, UK. Jan. 2024. 

• "Show and Tell". PUC, organized by the SIAM student chapter. Santiago, Chile. Dec. 2022.

• "Quasiperiodic electromagnetic fields and applications". PUC research's week. Chile 2022.

• "Windowed Green function method for scattering by periodic media". National Meeting of Mathematical Engineering (ENIM). Santiago, Chile Jul. 2022.

Theses

• Strauszer-Caussade T, Boundary Integral equations methods for electromagnetic scattering by periodic arrays. Master of Science in Engineering thesis. Pontificia Universidad Católica de Chile, January 2023.