Dr Jennifer Pestana


Mathematics and Statistics


Personal statement

My primary research interests are numerical linear algebra and its application to problems in scientific computing. Most of my work has focused on understanding the convergence behaviour of Krylov subspace methods for solving linear systems, and on developing preconditioners for specific applications. I have also been involved in projects that apply ideas from tropical algebra to problems in numerical linear algebra, such as pre-scaling matrices before solving linear systems. Current projects include developing fast solvers for problems from fractional diffusion, and analysing problems in broadband signal processing. 

I have been a lecturer in the Department of Mathematics and Statistics since 2015. Prior to this I held postdoctoral positions at The University of Manchester and the University of Oxford. I obtained my DPhil from the University of Oxford in 2012.

I am a member of SIAM, and am an editor of the SIAM Fundamentals of Algorithms book series. I am also a member of the Edinburgh Mathematical Society, the London Mathematical Society and am a Fellow of the Institute for Mathematics and its Applications. 

My personal webpage can be found here.

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Professional Activities

BIRS Workshop: New Directions in Applied Linear Algebra
29th Biennial Conference on Numerical Analysis
25th Conference of the International Linear Algebra Society
Member of programme committee
School of Mathematics, University of Manchester, Manchester, UK.
Visiting researcher
Scientific Machine Learning Seminar
ICIAM Workshop on Industrial and Applied Mathematics

More professional activities


EPSRC-SFI Krylov subspace methods for non-symmetric PDE problems: a deeper understanding and faster convergence
Pestana, Jennifer (Principal Investigator)
01-Jan-2023 - 30-Jan-2026
Strathclyde International Strategic Partners (ISPs) Joint PhD Cluster
Pestana, Jennifer (Principal Investigator) Dolean Maini, Victorita (Co-investigator) Paterson, Ann (Post Grad Student)
PhD Studentship Cluster with TU Delft
01-Jan-2022 - 30-Jan-2025
EPSRC Vacation Internship: Digital Twinning through Physics Informed Machine Learning. A Vibrating Bearing Case Study
Pestana, Jennifer (Co-investigator) Brown, Blair David (Principal Investigator)
EPSRC Vacation Internship for Zara Blair
14-Jan-2022 - 22-Jan-2022
ICMS@Glasgow: Novel preconditioned iterative solvers for Stokes equations with divergence-free solutions
Pestana, Jennifer (Principal Investigator) Barrenechea, Gabriel (CoPI) Soodhalter, Kirk (CoPI)
17-Jan-2022 - 30-Jan-2022
Physics informed machine learning (ML) for the numerical solution of complex multi-physics problems
Dolean Maini, Victorita (Principal Investigator) Rahimi, Salaheddin (Research Co-investigator) Pestana, Jennifer (Co-investigator) Ritos, Konstantinos (Co-investigator) Kamenický, Robin (Co-investigator) Tant, Katherine Margaret Mary (Co-investigator)
01-Jan-2021 - 30-Jan-2022
Maths DTP 2021/22 University of Strathclyde | Podmore, Sam
Knight, Philip (Principal Investigator) Pestana, Jennifer (Co-investigator) Podmore, Sam (Research Co-investigator)
01-Jan-2021 - 01-Jan-2025

More projects

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Dr Jennifer Pestana
Mathematics and Statistics

Email: jennifer.pestana@strath.ac.uk
Tel: 548 4559