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

Come September, my position here’ll be transitioning to a postdoc with Kaibo Hu under the ERC Starting Grant for Geometric Finite Element Methods (GeoFEM).

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RESEARCH INTERESTS

• STRUCTURE-PRESERVING NUMERICAL METHODS FOR PDEs & ODEs | Conservative & dissipative integrators / Global & local energy estimates / Asymptotic-preserving integrators / Geometric ML
• FINITE ELEMENT THEORY | FEEC / Domain decomposition / PinT
• PLASMA MODELLING | MHD / Hybrid fluid-particle models
• TURBULENT SYSTEMS | Stabilisation / Preconditioning

HIGHLIGHTED PUBLICATIONS & PREPRINTS

Preprints (In review)

Date	Title	Co-authors
29.APR.2025 (arXiv)	Enforcing conservation laws and dissipation inequalities numerically via auxiliary variables	Patrick Farrell
20.JAN.2025 (arXiv)	Topology-preserving discretization for the magneto-frictional equations arising in the Parker conjecture	Mingdong He, Patrick Farrell, Kaibo Hu

Other works

Date	Title	Co-authors
16.JUL.2024 (arXiv)	High-order conservative and accurately dissipative numerical integrators via auxiliary variables	Patrick Farrell

(Click titles for further details and talks)

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SHORT CV

• 2021–2025 (predicted) | PhD (DPhil), Numerical Analysis, University of Oxford
  • THESIS | Structure preservation in FEMs & numerical integration via auxiliary variables
  • SUPERVISORS | Patrick Farrell, Wayne Arter
• 2017–2021 | Integrated Masters (MMath), Mathematics, University of Oxford
  • GRADE | First (Distinction)
  • THESIS | Computation and approximation of near orthogonal matrices for tall random matrices
  • SUPERVISOR | Yuji Nakatsukasa

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OPEN PROBLEMS

I’m working on a list of open problems arising from my research that I’d be very keen to see turned into closed problems! You can find it here.

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UPCOMING

• 15–20.JUN | EMS SCHOOL | Attending the EMS School on Mathematical Modelling, Numerical Analysis and Scientific Computing in Kácov, Czechia (Sadly no longer able to attend)
• 24–27.JUN | BIENNIAL NA CONFERENCE | Together with Charlie Parker, hosting (and presenting at) a minisymposium on structure-preserving FEMs at the Biennial Numerical Analysis Conference at the University of Strathclyde, where I will present my work on conservative integrators with Patrick Farrell — other speakers include:
  • Aaron Brunk
  • Franziska Eickmann (Sadly no longer available)
  • Mingdong He
  • Kaibo Hu
  • Rami Masri (Sadly no longer available)
• 20–22.AUG | MFET | Speaking at a minisymposium on finite element complexes for structure-preservation at ECCOMAS Thematic Conference on Modern Finite Element Technologies (MFET) in Aachen, Germany, thanks to the invite of Adam Sky and Charlie Parker, where I will present (for the first time!) upcoming work on enstrophy-stable integrators for the Navier–Stokes equations with Matin Shams
• 08.SEP | POSTDOC | Transitioning from PhD candidate to a Postdoctoral Research Associate position under the ERC Starting Grant for Geometric Finite Element Methods (GeoFEM) with PI Kaibo Hu, wherein I intend to use my theory of conservative finite-element integrators to derive structure-preserving methods in numerical relativity
• 15–19.SEP | ACOMEN | Attending ACOMEN, jointly hosted by Ghent University and the University of Liège, where I will be speaking at two minisymposia:
  • On Maxwell, MHD, and derived models, thanks to the invite of Jérôme Droniou on behalf of the NEMESIS PIs, where I will present my work on structure-preserving integrators for the Parker problem with Mingdong He, Patrick Farrell & Kaibo Hu
  • On numerical methods for flow and related problems, thanks to the invite of Nils Margenberg, where I will present upcoming work on enstrophy-stable integrators for the Navier–Stokes equations with Matin Shams
• OCT–NOV | INTERNAL SEMINAR | Presenting the Numerical Analysis Group internal seminar, where I will likely present upcoming work on enstrophy-stable integrators for the Navier–Stokes equations with Matin Shams

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
🍴 FOOD / COOKING | Anything East / Southeast Asian
🩸 MURDER MYSTERIES | Movies in particular
⚽ TABLE FOOTBALL | Competitive spirit / Non-competitive skill
🗺️ MAPS / FLAGS | Just love them
🐒 MONKEYS | 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)