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.

EXCITING NEWS: I'LL BE STARTING A POSTDOC IN EDINBURGH WITH KAIBO HU IN SEPTEMBER!

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

Date	Title	Co-authors
16.JUL.2024 (arXiv)	High-order conservative and accurately dissipative numerical integrators 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
Upcoming (Draft on request)	Uniformly accurate asymptotic-preserving integrators for charged particles
Upcoming (Draft on request)	An augmented Lagrangian preconditioner for natural convection at high Reynolds number	Alexei Gazca, Benjamin Castellaz, Patrick Farrell
Upcoming (Draft on request)	Conservative–dissipative integrators for reversible–irreversible systems

(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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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

• 21–22.MAY | EDINBURGH VISIT | Visiting Kaibo Hu at the University of Edinburgh
• 27.MAY | CHaRMNET SEMINAR | Giving a seminar at the Self-Consistency Group of the Center for Hierarchical and Robust Modeling of Non-Equilibrium Transport (CHaRMNET), where I will present upcoming work on asymptotic-preserving integrators for charged particles problems, thanks to the invite of Lee Ricketson
• 12.JUN | INTERNAL SEMINAR | Presenting my leaving Numerical Analysis Group internal seminar, culminating my time here in the Numerical Analysis Group at the University of Oxford
• 15–20.JUN | EMS SCHOOL | Attending the EMS School on Mathematical Modelling, Numerical Analysis and Scientific Computing in Kácov, Czechia
• 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 (Johannes Gutenberg-Universität Mainz)
  • Franziska Eickmann (TU Darmstadt)
  • Mingdong He (University of Oxford)
  • Kaibo Hu (University of Edinburgh)
  • Rami Masri (Brown University)
• 20–22.AUG | ECCOMAS | Speaking at a minisymposium on finite element complexes for structure-preservation at ECCOMAS Thematic Conference on Modern Finite Element Technologies, in Aachen, Germany, thanks to the invite of Adam Sky and Charlie Parker, where I will likely present upcoming work on enstrophy-stable integrators for the Navier–Stokes equations with Matin Shams
• 8.SEP | EDINBURGH | Starting a postdoc at the University of Edinburgh, under the ERC Starting Grant “GeoFEM” (investigating the discretisation of geometric objects with finite elements) with PI Kaibo Hu, wherein I intend I intend to apply the theory of conservative finite-element integrators I’ve developed during my PhD (DPhil) to derive structure-preserving methods in numerical relativity
• 15–19.SEP | ACOMEN | Speaking at a minisymposium on Maxwell, MHD, and derived models at ACOMEN, hosted at Ghent University, 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

(*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
🍴 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)