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.

CHECK OUT MY LATEST PREPRINT!

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
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)

View all

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)

DOWNLOAD FULL PDF

View all

Upcoming

• 24.FEB–12.MAR | US VISIT | Visiting the US: RI (Providence) -> TX (Fort Worth -> Houston)
  • 24–28.FEB | BROWN VISIT | Visiting Brown University, thanks to the invite of Brendan Keith, to present at both his group meeting (27.FEB) and the Scientific Computing Seminar (28.FEB), where I will discuss my work on conservative integrators with Patrick Farrell
  • 03–07.MAR | SIAM CSE | Attending SIAM CSE in Fort Worth, TX, where I will be presenting my work on conservative integrators at the minisymposium on computational methods for non-Newtonian Flows (04.MAR), on the kind invite of Sara Pollock and Tabea Tscherpel
  • 10–11/12.MAR | RICE VISIT | Visiting Rice University, thanks to the invite of Jesse Chan, where I will be presenting a special lecture on my work on conservative integrators with Patrick Farrell (10/11.MAR)
• 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
• MAY–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, where I intend to present upcoming work on structure-preserving methods for boundary-value problems
• 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
• 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 likely 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

View all

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)