Kars Knook
MSci Mathematics (Imperial College London)
Pronouns
He / Him
Status
Postgraduate Student
DPhil Student in the Numerical Analysis group under supervision of Prof. Patrick Farrell
Research groups
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Major / recent publications
Cotter, C.J., Knook, K., Hope-Collins J. (2025), Shifted HSS preconditioners for the indefinite Helmholtz equation, arXiv:2506.18694
Knook, K., Olver, S., Papadopoulos, I.P.A. (2024), Quasi-optimal complexity hp-FEM for Poisson on a rectangle, arXiv:2402.11299
Research interests
My research is on the numerical solution of differential equations with a particular interest for preconditioners, iterative methods and FEM. The topic of my PhD research is preconditioners for multicomponent flow problems.
Teaching
- B6.1 Numerical Solution of Partial Differential Equations - TA (MT 2023)
- Prelims Computational Mathematics - Demonstrator (MT/HT/TT 2024/2025)