Projects per year
Personal profile
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.
Expertise related to UN Sustainable Development Goals
In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. This person’s work contributes towards the following SDG(s):
External positions
Editor of SIAM Fundamentals of Algorithms Book Series
Jan 2018 → Dec 2019
Secretary of SIAM Activity Group on Linear Algebra
Jan 2016 → Dec 2018
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Collaborations and top research areas from the last five years
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EPSRC-SFI Krylov subspace methods for non-symmetric PDE problems: a deeper understanding and faster convergence
Pestana, J. (Principal Investigator)
EPSRC (Engineering and Physical Sciences Research Council)
1/08/23 → 31/07/26
Project: Research
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Strathclyde International Strategic Partners (ISPs) Joint PhD Cluster: The numerical analysis of efficient linear solvers for industrial problems
Pestana, J. (Principal Investigator), Dolean Maini, V. (Co-investigator), Paterson, A. (Post Grad Student) & Rahimi, S. (Co-investigator)
1/10/22 → 30/09/25
Project: Internally funded project
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Impact of space-time covariance matrix estimation on bin-wise eigenvalue and eigenspace perturbations
Delaosa, C., Pestana, J., Proudler, I. & Weiss, S., 10 Feb 2025, (Accepted/In press) In: Signal Processing. 13 p.Research output: Contribution to journal › Article › peer-review
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Fast solution of incompressible flow problems with two-level pressure approximation
Pestana, J. & Silvester, D. J., 1 Aug 2024, In: Numerische Mathematik. 156, 4, p. 1579-1602 24 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile7 Downloads (Pure)
Datasets
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Data for: "Preconditioners for symmetrized Toeplitz and multilevel Toeplitz matrices"
Pestana, J. (Creator), Zenodo, 3 Aug 2018
Dataset
Prizes
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Best Student Paper Award
Delaosa, C. (Recipient), Coutts, F. K. (Recipient), Pestana, J. (Recipient) & Weiss, S. (Recipient), 2018
Prize: Prize (including medals and awards)
File
Activities
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Invited Seminar at the University of Manchester
Pestana, J. (Speaker)
15 Nov 2024Activity: Talk or presentation types › Invited talk
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BIRS Workshop: New Directions in Applied Linear Algebra
Pestana, J. (Organiser)
27 Aug 2023 → 1 Sept 2023Activity: Participating in or organising an event types › Organiser of major conference