School of Mathematics, Statistics & Actuarial Science

About

John studied Mathematics at the University of Oxford, and obtained a DPhil in Numerical Analysis in 2013. Having spent time as an EPSRC Doctoral Prize researcher at Oxford, and as a Whittaker Research Fellow at the University of Edinburgh, he joined the University of Kent as a Lecturer in Mathematics in April 2015.

John's research lies in the area of numerical analysis, in particular at the interface between numerical linear algebra and computational optimization. He has developed preconditioned iterative methods for a range of PDE-constrained optimization problems, with a particular focus on such models for scientific processes, including fluid flow, chemical and biological mechanisms, and imaging problems. John also has research interests in a number of other areas of scientific computing, such as the computation of special functions, radial basis function methods, and interior point solvers.

He was awarded a Leslie Fox Prize in Numerical Analysis in 2015, and the University of Kent Faculty of Sciences Prize for Early Career Research in 2016.

Details of John's EPSRC Fellowship: http://gow.epsrc.ac.uk/NGBOViewGrant.aspx?GrantRef=EP/M018857/1

Contact Information

Address

Room 262

Office hours: Please email me to make an appointment

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Publications

Google Scholar citations

Also view these in the Kent Academic Repository

Article
Pearson, J. and Gondzio, J. (2017). Fast interior point solution of quadratic programming problems arising from PDE-constrained optimization. Numerische Mathematik [Online]. Available at: http://dx.doi.org/10.1007/s00211-017-0892-8.
Pearson, J., Olver, S. and Porter, M. (2017). Numerical methods for the computation of the confluent and Gauss hypergeometric functions. Numerical Algorithms [Online] 74:821-866. Available at: http://dx.doi.org/10.1007/s11075-016-0173-0.
Farrell, P. and Pearson, J. (2017). A preconditioner for the Ohta-Kawasaki equation. SIAM Journal on Matrix Analysis and Applications [Online]. Available at: http://arxiv.org/abs/1603.04570.
Pearson, J., Pestana, J. and Silvester, D. (2016). Refined saddle-point preconditioners for discretized Stokes problems.
Pearson, J. (2016). Fast iterative solvers for large matrix systems arising from time-dependent Stokes control problems. Applied Numerical Mathematics [Online] 108:87-101. Available at: http://dx.doi.org/10.1016/j.apnum.2016.05.002.
Güttel, S. and Pearson, J. (2016). A rational deferred correction approach to PDE-constrained optimization.
Pearson, J. (2015). Preconditioned iterative methods for Navier-Stokes control problems. Journal of Computational Physics [Online] 292:194-207. Available at: http://dx.doi.org/10.1016/j.jcp.2015.03.029.
Dolgov, S. et al. (2015). Fast tensor product solvers for optimization problems with fractional differential equations as constraints. Applied Mathematics and Computation [Online] 273:604-623. Available at: https://doi.org/10.1016/j.amc.2015.09.042.
Pearson, J. (2015). On the development of parameter-robust preconditioners and commutator arguments for solving Stokes control problems. Electronic Transactions on Numerical Analysis [Online] 44:53-72. Available at: http://www.emis.ams.org/journals/ETNA/vol.44.2015/pp53-72.dir/pp53-72.pdf.
Stoll, M., Pearson, J. and Maini, P. (2015). Fast solvers for optimal control problems from pattern formation. Journal of Computational Physics [Online] 304:27-45. Available at: http://dx.doi.org/10.1016/j.jcp.2015.10.006.
Pearson, J., Stoll, M. and Wathen, A. (2014). Preconditioners for state constrained optimal control problems with Moreau-Yosida penalty function. Numerical Linear Algebra with Applications [Online] 21:81-97. Available at: http://dx.doi.org/10.1002/nla.1863.
Pearson, J. and Stoll, M. (2013). Fast iterative solution of reaction-diffusion control problems arising from chemical processes. SIAM Journal on Scientific Computing [Online] 35:B987-B1009. Available at: http://dx.doi.org/10.1137/120892003.
Pearson, J. (2013). A radial basis function method for solving PDE-constrained optimization problems. Numerical Algorithms [Online] 64:481-506. Available at: http://dx.doi.org/10.1007/s11075-012-9675-6.
Pearson, J. and Wathen, A. (2013). Fast iterative solvers for convection-diffusion control problems. Electronic Transactions on Numerical Analysis [Online] 40:294-310. Available at: http://www.emis.ams.org/journals/ETNA/vol.40.2013/pp294-310.dir/pp294-310.pdf.
Pearson, J. and Wathen, A. (2012). A new approximation of the Schur complement in preconditioners for PDE-constrained optimization. Numerical Linear Algebra with Applications [Online] 19:816-829. Available at: http://dx.doi.org/10.1002/nla.814.
Pearson, J., Stoll, M. and Wathen, A. (2012). Regularization-robust preconditioners for time-dependent PDE-constrained optimization problems. SIAM Journal on Matrix Analysis and Applications [Online] 33:1126-1152. Available at: http://dx.doi.org/10.1137/110847949.
Book section
Pearson, J. and Gondzio, J. (2017). On Block Triangular Preconditioners for the Interior Point Solution of PDE-Constrained Optimization Problems. in: Submitted book chapter. Springer.
Pearson, J. and Wathen, A. (2016). Matching Schur complement approximations for certain saddle-point systems. in: Book Chapter. In review.
Pearson, J. (2015). Block triangular preconditioning for time-dependent Stokes control. in: Proceedings in Applied Mathematics and Mechanics. Wiley, pp. 727-730. Available at: http://onlinelibrary.wiley.com/doi/10.1002/pamm.201510349/pdf.
Pearson, J., Stoll, M. and Wathen, A. (2012). Robust iterative solution of a class of time-dependent optimal control problems. in: Proceedings in Applied Mathematics and Mechanics. Wiley, pp. 3-6. Available at: http://dx.doi.org/10.1002/pamm.201210002.
Conference or workshop item
Pearson, J. and Gondzio, J. (2016). Fast interior point solvers for H1-regularized PDE-constrained optimization problems. in: Joint 87th Annual Meeting of the Gesellschaft für Angewandte Mathematik und Mechanik. Wiley, pp. 737-738. Available at: http://dx.doi.org/10.1002/pamm.201610357.
Thesis
Pearson, J. (2013). Fast iterative solvers for PDE-constrained optimization problems. Available at: http://ora.ox.ac.uk/objects/uuid:316e54dc-0623-4063-b9c3-1012c62ac83a.
Total publications in KAR: 22 [See all in KAR]
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Research Interests

Numerical analysis, in particular at the interface between numerical linear algebra and computational optimization, as well as areas of scientific computing such as computation of special functions, radial basis function methods, and interior point solvers.

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School of Mathematics, Statistics and Actuarial Science (SMSAS), Sibson Building, Parkwood Road, Canterbury, CT2 7FS

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Last Updated: 24/04/2017