
Professor of Numerical Analysis
Acting Head of the Numerical Analyis Group
Personal Website:
+44 1865 615318
Address
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Recent Books:
Analysis of Finite Difference Schemes For Linear Partial Differential Equations with Generalized Solutions
ISBN-13: 9781447154594
(31 October 2013)
Highlighted Publications:
Existence of global weak solutions to finitely extensible nonlinear bead-spring chain models for dilute polymers with variable density and viscosity
Journal of Differential Equations
issue 12
volume 253
page 3610-3677
(2012)
Full text available
EXISTENCE AND EQUILIBRATION OF GLOBAL WEAK SOLUTIONS TO KINETIC MODELS FOR DILUTE POLYMERS I: FINITELY EXTENSIBLE NONLINEAR BEAD-SPRING CHAINS
MATH MOD METH APPL S
issue 6
volume 21
page 1211-1289
(June 2011)
A priori error analysis of two force-based atomistic/continuum models of a periodic chain
Numerische Mathematik
issue 1
volume 119
page 83-121
(2011)
EXISTENCE AND CONVERGENCE RESULTS FOR THE GALERKIN APPROXIMATION OF AN ELECTRONIC DENSITY FUNCTIONAL
MATH MOD METH APPL S
issue 12
volume 20
page 2237-2265
(December 2010)
A posteriori error analysis of hp-version discontinuous Galerkin finite-element methods for second-order quasi-linear elliptic PDEs
IMA Journal of Numerical Analysis
issue 2
volume 28
page 245-273
(1 April 2008)
Analysis of a quasicontinuum method in one dimension
Mathematical Modelling and Numerical Analysis
issue 1
volume 42
page 57-91
(1 January 2008)
Recent Publications:
Thermodynamics of viscoelastic rate-type fluids with stress diffusion
Physics of Fluids
issue 2
volume 30
(2 February 2018)
Full text available
Existence of global weak solutions to the kinetic Hookean dumbbell model
for incompressible dilute polymeric fluids
Nonlinear Analysis Series B: Real World Applications
issue February 2018
volume Volume 36,
page 362-395
(10 August 2017)
Full text available
Existence of large-data finite-energy global weak solutions to a
compressible Oldroyd-B model
Communications in Mathematical Sciences
issue 5
volume 15
page 1265-1323
(26 June 2017)
Full text available
On the existence of integrable solutions to nonlinear elliptic systems
and variational problems with linear growth
Archive for Rational Mechanics and Analysis
issue 2
volume 225
page 717-769
(18 April 2017)
Full text available
Dissipative weak solutions to compressible Navier–Stokes–Fokker–Planck systems with variable viscosity coefficients
Journal of Mathematical Analysis and Applications
issue 1
volume 443
page 322-351
(1 November 2016)
Tensor-Sparsity of Solutions to High-Dimensional Elliptic Partial Differential Equations
FOUNDATIONS OF COMPUTATIONAL MATHEMATICS
issue 4
volume 16
page 813-874
(August 2016)
Full text available
Existence of global weak solutions to compressible isentropic finitely extensible nonlinear bead-spring chain models for dilute polymers: The two-dimensional case
JOURNAL OF DIFFERENTIAL EQUATIONS
issue 1
volume 261
page 592-626
(5 July 2016)
Full text available
Analysis of a viscosity model for concentrated polymers
Mathematical Models and Methods in Applied Sciences (M3AS)
issue 7
volume 26
page 1599-1648
(1 July 2016)
Full text available
ANISOTROPY IN WAVELET-BASED PHASE FIELD MODELS
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
issue 4
volume 21
page 1167-1187
(June 2016)
Full text available
Discontinuous Galerkin finite element methods for time-dependent Hamilton-Jacobi-Bellman equations with Cordes coefficients
NUMERISCHE MATHEMATIK
issue 1
volume 133
page 141-176
(May 2016)
Full text available
Research Interests:
Numerical analysis of nonlinear partial differential equations.
Prizes, Awards, and Scholarships:
Invited Speaker, International Congress of Mathematicians, 2006
Foreign Member of the Serbian National Academy of Sciences and Arts, 2009
Fellow of the European Academy of Sciences (EAS), 2010
Professor Hospitus Universitatis Carolinae Pragensis, 2012-
Distinguished Visiting Chair Professor, Shanghai Jiao Tong University, 2013-
Forder Lecturer, London Mathematical Society & New Zealand Mathematical Society, 2015
SIAM Fellow, 2016
IMA Service Award, 2011
Charlemagne Distinguished Lecture, 2011
Aziz Lecture, 2015
BIMOS Distinguished Lecture, 2016
John von Neumann Lecture, University of Münster, 2016
Oxford University Teaching Excellence Award, 2009
Mathematical Institute Teaching Award, 2013
Major / Recent Publications:
The complete list of publications is available from: