John W. Pearson
 John W. PearsonMSc, BA
eMail:
John [dot] Pearson [-at-] maths [dot] ox [dot] ac [dot] uk
Reception/Secretary: +44 1865 273525 Office: RI.0.57 Departmental Address:
Mathematical Institute |
Research Interests:
I am interested in the numerical linear algebra of saddle point systems. In particular, I work on the development of preconditioners for PDE-constrained optimization problems. Major/Recent Publications:
J. W. Pearson and A. J. Wathen, A New Approximation of the Schur Complement in Preconditioners for PDE-Constrained Optimization, Numerical Linear Algebra with Applications, 19(5), pp.816-829, 2012. J. W. Pearson, M. Stoll and A. J. Wathen, Regularization-Robust Preconditioners for Time-Dependent PDE-Constrained Optimization Problems, SIAM Journal on Matrix Analysis and Applications, 33(4), pp.1126-1152, 2012. J. W. Pearson, M. Stoll and A. J. Wathen, Preconditioners for State Constrained Optimal Control Problems with Moreau-Yosida Penalty Function, to appear in Numerical Linear Algebra with Applications. J. W. Pearson, M. Stoll and A. J. Wathen, Robust Iterative Solution of a Class of Time-Dependent Optimal Control Problems, to appear in PAMM. J. W. Pearson, A Radial Basis Function Method for Solving PDE-Constrained Optimization Problems, to appear in Numerical Algorithms. J. W. Pearson and A. J. Wathen, Fast Iterative Solvers for Convection-Diffusion Control Problems, submitted. J. W. Pearson, On the Role of Commutator Arguments in the Development of Parameter-Robust Preconditioners for Stokes Control Problems, submitted. J. W. Pearson and M. Stoll, Fast Iterative Solution of Reaction-Diffusion Control Problems Arising from Chemical Processes, submitted. Teaching:
Class Tutor: Numerical Analysis (Part A) - 2010, 2012 Numerical Solution of Differential Equations II (Part B) - 2012 Numerical Linear Algebra (MSc) - 2009, 2010, 2011 Finite Element Methods for Partial Differential Equations (Part C/MSc) - 2011
Teaching Assistant: Numerical Analysis (Part A) - 2010 Numerical Solution of Differential Equations II - 2010 Numerical Linear Algebra (Part C/MSc) - 2009, 2011 Finite Element Methods for Partial Differential Equations (Part C/MSc) - 2011 Approximation of Functions (Part C) - 2010 |
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