School of Mathematical Sciences
 

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Kris van der Zee

Associate Professor of Scientific Computation, Director of PGR Studies, Faculty of Science

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Biography

  • Full Professor of Numerical Analysis & Computational Applied Mathematics, School of Mathematical Sciences, University of Nottingham (since Aug 2023)
  • Director of PGR Studies, School of Mathematical Sciences, University of Nottingham (since Aug 2020)
  • Associate Professor of Scientific Computation, School of Mathematical Sciences, University of Nottingham (since Aug 2020)
  • Associate Editor, Engineering with Computers (since Sep 2021).
  • Associate Fellow of the Higher Education Academy (AFHEA) (since 2018).
  • Nottingham SIAM-IMA Student Chapter Faculty Advisor, inaugural (Nov 2017 - Aug 2020)
  • Royal Society Kan Tong Po International Exchange Fellow, City University of Hong Kong (Nov 2015 - Jan 2016)
  • School PGR Student Advisor, School of Mathematical Sciences, University of Nottingham (Aug 2015 - Aug 2020)
  • Nottingham Node Representative MAGIC (Mathematics Access Grid: Instruction and Collaboration) (Aug 2015 - Aug 2020)
  • Lecturer (Assistant Prof) of Scientific Computation, School of Mathematical Sciences, University of Nottingham (Oct 2013 - Aug 2020)

Other biography

Research Summary

  • Numerical analysis, scientific computation, and computational PDEs;
  • Optimal discretisation theory, minimal residual (MRes) and Petrov-Galerkin methods;
  • Foundations of error estimation and optimality of adaptive FEM;
  • Reduced-order, multi-scale, and adaptive modelling;
  • Neural networks and machine-learning for scientific computation;
  • Uncertainty quantification, validation and optimal Bayesian experimental design;
  • Evolving-interface phenomena, free- and moving-boundary problems;
  • Multiphase flows and materials, and phase-field/diffuse-interface models;
  • Applications to fluid dynamics, mechanobiology and engineering mechanics.

Member of School of Mathematical Sciences' Research Themes and Centres

Slides of some talks

Organiser

Postgraduate Projects

Postdoctoral opportunities (general UK fellowships)

Teaching Summary

2022-2023

  • MATH2019 - Introduction to Scientific Computation (autumn semester) (Link to Catalogue)
  • MAGIC098 - Adaptive Finite Element Methods (autumn semester) (Link to MAGIC website)
  • MATH3036 - Scientific Computation and Numerical Analysis (spring semester) (Link to Catalogue)

2021-2022

  • MATH2019 (G12ISC) - Introduction to Scientific Computation (autumn semester) (Link to Catalogue)

2020-2021

  • MATH2019 (G12ISC) - Introduction to Scientific Computation (autumn semester) (Link to Catalogue)
  • MATH4064 (G14CAM) - Computational Applied Mathematics (Link to Catalogue)

2019-2020

  • MATH2019 (G12ISC) - Introduction to Scientific Computation (autumn semester) (Link to Catalogue)
  • MATH4064 (G14CAM) - Computational Applied Mathematics (Link to Catalogue)

2018-2019

  • MATH2019 (G12ISC) - Introduction to Scientific Computation (autumn semester) (Link to Catalogue)

2017-2018

  • G12ISC - Introduction to Scientific Computation (spring semester) (Link to Catalogue)
  • G14CAM - Computational Applied Mathematics (Link to Catalogue)

2016-2017

2015-2016

  • G12INM / HG2INM - Introduction to Numerical Methods (spring semester) (Link to Catalogue)
  • G14CAM - Computational Applied Mathematics (Link to Catalogue)

2014-2015

  • G12INM / HG2INM - Introduction to Numerical Methods (spring semester) (Link to Catalogue and Moodle)
  • HG4MPD (UK) - Mathematical Techniques in PDEs for Engineers (Link to Catalogue and Moodle)

2013-2014

2012-2013

2011-2012

2010, 2011

Supervision

  • Ignacio Brevis (Postdoc), Topic: Scientific Machine Learning for membrane manufacturing, 2022-2025
  • Tanakorn Udomworarat, Topic: Scientific Machine Learning for wave modelling, PhD project 2022-2026
  • Sattam Alrashidy, Topic: Optimisation, control and estimation for nonlinear PDEs with applications in Fluid Mechanics, PhD project 2021-2024
  • Hamd Alsobhi, Topic: Optimisation algorithms for Minimal-Residual FEM, PhD project 2020-2023
  • Xuesi (Rose) Yang, Zhengyuan (Cassie) Zhang, Yu (Summer) Qi, Zeqi (Elain) Wang, Geometric Modelling of Human Bodies, UG Summer 2020
  • Anne Boschman, Topic: Bulk-surface phase-field modelling, PhD project 2019-2023
  • Isil Akpinar (Postdoc), Topic: Machine Learning for Membrane Manufacturing, 2019-2021
  • Connor Rourke (2nd supervisor), Topic: Adaptive FEM, PhD project 2019-2023
  • Yiyun Fan (2nd supervisor), Topic: Two-fluid flow asymptotics, PhD project 2019-2022
  • Toby Willis (with Matteo Icardi), Diffuse-domain approximations for porous media flow, UG Summer 2019, Nottingham
  • Matthew Tyler (with Donald Brown), Advanced discontinuous discretisation techniques for multiscale PDEs, Summer 2018 (LMS Undergraduate Bursary), Nottingham
  • Sarah Roggendorf, Topic: Adaptive FEM for nonlinear PDEs, PhD project 2016-2019, University of Nottingham
  • Yuchen Yang (2nd supervisor), Topic: Bayesian inference for PDEs, PhD project 2015-2018, University of Nottingham (VC Scholarship for Research Excellence)
  • Chris Miles, Topic: Solar-cell computational phase-field modelling, PhD project 2015-2019, University of Nottingham
  • Holly Smith (2nd supervisor), Topic: Tumour pattern formation, PhD project 2015-2018, University of Nottingham
  • Lee Curtin (2nd supervisor), Topic: Mathematical modelling of brain tumour growth and therapy, 30 April 2019, University of Nottingham
  • Xunxun Wu, Space-time adaptive methods for phase-field models, 28 June 2017, Eindhoven University of Technology
  • Gorkem Simsek, Numerical methods for diffuse interface models of binary flows, 21 June 2017, Eindhoven University of Technology
  • Benjamin Dominguez, Modelling error estimation for granular solids, MSc thesis 2015, University of Nottingham
  • James Malone, Truncation-induced error estimation for the Black-Scholes model, MSc thesis 2015, University of Nottingham
  • Ian Roper, Partitioned-domain concurrent multiscale modelling, Master's thesis 2015, University of Nottingham
  • Panagiotis Zacharis, Bayesian calibration and model selection for elastic continua, MSc thesis 2014, University of Nottingham
  • Jack Litherland, Topic: Particle-continuum multiscale modeling, 2014 BSc Summer Studentship (Dean's Fund), University of Nottingham
  • Rody van Tuijl, Energy stable discretisation of surfactant transport on fluid surfaces, MSc thesis 2013, Eindhoven University of Technology
  • Göktürk Kuru, Goal-adaptive isogeometric analysis with hierarchical splines, MSc thesis 2013, Eindhoven University of Technology
  • Peter Fick, Goal-oriented a-posteriori error estimation and adaptivity for fluid-structure interaction, MSc thesis 2008, Delft University of Technology
  • Ted Heemskerk, Discontinuous Galerkin methods with solenoidal elements for the Stokes problem, MSc thesis 2006, Delft University of Technology

Preprints

Selected Publications

Spring 2018 Computational PDEs Seminars

  • Wed 14 March 2018, 12noon, Hemsley B07 - Judit Munoz Matute - Time-domain Goal-Oriented Adaptivity employing Explicit Galerkin Time Integrators

Spring 2016 Computational PDEs Seminar Series

  • Fri 19 Feb 2016, 11:30am, Hemsley B01 - Sarah Roggendorf - Model order reduction for linearized systems arising from the simulation of gas transportation networks
  • Fri 26 Feb 2016, 11:30am, Portland Building D137 - Kris van der Zee - Babuska's Theorem
  • Fri 4 Mar 2016, 11:30am, Portland Building D137 - Lee Curtin - Tumour modelling

  • Fri 11 Mar 2016, 11:30am, Portland Building D137 - Yuchen Yang - The Bayesian Approach to Inverse Problems

  • Fri 18 Mar 2016, 11:00am, Hemsley B07 - Chris Miles - Solid State Devices, Holly Smith - Turing's instability

Winter 2015/2016 Mathematics & Computation Themed Seminar Series: Computational Moving Boundary Problems - Donald Brown, Minho Park, Matthew Hubbard, Kris van der Zee

  • Tue 19 Jan 2016, 10am-12:30pm, Physics C05
  • Wed 20 Jan 2016, 10am-12:30pm, Physics C05
  • Thu 21 Jan 2016, 10am-12:30pm, Physics C05

Summer 2015 Mathematics & Computation Themed Seminar Series: Computational Inverse Problems - Marco Iglesias

  • Wed 3 Jun 2015, 1 - 3pm, Room C27, Physics
  • Tue 9 Jun 2015, 3 - 5pm, Room C27, Physics

Spring 2015 Mathematics & Computation Seminar Series: Thursdays, 1pm - 2pm, Room B21, Physics Bldg, University Park

  • Thu 29 Jan 2015 - Joe Collis - Spectral methods for uncertainty quantification [Changed to: 2pm - 3pm, Math A17]
  • Thu 12 Feb 2015 - Rüdiger Thul - Modelling intracellular calcium
  • Thu 19 Feb 2015 - Michael Tretyakov - A brief introduction to stochastics and numerics
  • Thu 26 Feb 2015 - Yves van Gennip - PDE techniques for graph problems
  • Thu 12 Mar 2015 - Minho Park - Circulant Embedding Method: Efficient Random Field Generator

Autumn 2014 Mathematics & Computation Seminar Series: Thursdays, 1pm - 2pm, Room B21, Physics Bldg, University Park

  • Thu 9 Oct 2014 - Kris van der Zee - Stable schemes for evolving interface models
  • Thu 23 Oct 2014 - Marco Iglesias - Computational aspects of PDE-constrained inverse problems
  • Thu 6 Nov 2014 - Matthew Hubbard - Numerical methods for multidimensional hyperbolic conservation laws
  • Thu 20 Nov 2014 - Paul Houston - Introduction to (DG) Finite Element Methods Part I: The Good, the Bad, the Ugly, and the MAGIC
  • Thu 4 Dec 2014 - Nathan Sime - Introduction to (DG) Finite Element Methods Part 2: Automated code generation and its application

Mathematics & Computation Seminar Series:

  • the speakers are internal, i.e., from various research groups in the School of Mathematical Sciences,
  • the talks are informal and accessible,
  • the topics/themes are broadly related to mathematics and computation,
  • a themed series of seminars is held once in a while.

School of Mathematical Sciences

The University of Nottingham
University Park
Nottingham, NG7 2RD

For all enquiries please visit:
www.nottingham.ac.uk/enquire