Hi! I’m Boris Andrews, and I’m a final-year PhD (DPhil) candidate in the numerical analysis research group at the University of Oxford, working on structure-preserving numerical methods for PDEs under a joint EPSRC/UKAEA studentship.

I'm also currently on the postdoc job market!

Research interests

• Structure-preserving numerical methods for PDEs & ODEs | Conservative & dissipative integrators / Preserving global & local energy estimates & conservation laws / Asymptotic-preserving integrators / Geometric machine learning
• Finite element theory | Finite element exterior calculus (FEEC) / Domain decomposition / Parallel in time (PinT)
• Plasma modelling | Magnetohydrodynamics (MHD) / Hybrid fluid-particle models
• Turbulent systems | Stabilisation / Preconditioning

Highlighted publications & preprints

Date	Title	Co-authors
16.JUL.2024 (arXiv)	High-order conservative and accurately dissipative numerical integrators via auxiliary variables	Patrick Farrell
Upcoming, Draft available on request	High-order structure-preserving discretisation for ideal MHD arising in the Parker problem	Mingdong He, Kaibo Hu, Patrick Farrell
Upcoming, Draft available on request	High-order conservative–dissipative integrators for reversible–irreversible systems
Upcoming, Draft available on request	An augmented Lagrangian preconditioner for natural convection at high Reynolds number	Alexei Gazca, Benjamin Castellaz, Patrick Farrell
Upcoming, Draft available on request	Globally and locally structure-preserving mixed finite-element methods for boundary-value problems

(Click titles for further details and talks)

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Short CV

• 2021–2025 | PhD (DPhil) in Mathematics (Numerical Analysis), University of Oxford
  • Thesis | Structure-preserving FEMs via auxiliary variables: conservative & accurately dissipative integrators/global & local structures for BVPs
  • Supervisors | Patrick Farrell, Wayne Arter

• AUG–OCT.2022 | Physics: theory and modelling internship (Tokamak Energy)

• 2017–2021 | Masters in Mathematics (MMath), University of Oxford
  • Grade | First (Distinction)
  • Thesis | Computation and approximation properties of near orthogonal matrices for tall random matrices
  • Supervisor | Yuji Nakatsukasa
• JUL–AUG.2019 | Computational fluid dynamics internship (Perm State University)

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Announcements & upcoming

2025

• FEB–MAR* | Visiting Brown University to present my work on conservative integrators with Patrick Farrell, with a focus on upcoming work into structure-preserving methods for GENERIC systems
• FEB* | Visiting Baylor University
• 28.FEB–01.MAR* | Attending the Firedrake User Meeting USA at Baylor University, where I will be presenting upcoming work on structure-preserving methods for boundary-value problems
• 03–07.MAR* | Attending SIAM CSE25 in Fort Worth, Texas, where Patrick Farrell will be presenting our work on conservative integrators
• MAR* | Visiting Rice University, where I will be presenting my work on conservative integrators with Patrick Farrell at the Numerical Mathematics and Scientific Computing seminar
• 15–20.JUN* | Attending the EMS School on Mathematical Modelling, Numerical Analysis and Scientific Computing in Kácov, Czechia, where I intend to present upcoming work on structure-preserving methods for boundary-value problems

(*scheduled/provisional)

Recent collaborators

Patrick Farrell,
University of Oxford

Kaibo Hu,
University of Edinburgh

Alexei Gazca,
University of Freiburg

Mingdong He,
University of Oxford

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Other interests

🌐 Languages/Linguistics | Dutch/Japanese
🎲 Board games | Heavy/Light/Cooperative/I don’t care so long as it’s with my friends
🎹 Piano | Music theory/Improvisation so long as nobody’s listening
🩸 Murder mysteries | Movies in particular
⚽ Table football | Competitive spirit/Non-competitive skill
🗺️ Maps/Flags | Just love them
🥋 Taekwondo | Not done it properly in a long time though
❓ Quizzes | Running/Doing/Losing
🍫 Chocolate | Eating/Eating/Eating

(In no particular order)