# Items where Subject is "35 Partial differential equations"

- MIMS Preprint Server Subjects (151)
- MSC 2010, the AMS's Mathematics Subject Classification (151)
**35 Partial differential equations**(151)

- MSC 2010, the AMS's Mathematics Subject Classification (151)

**151**.

## A

Abascal, Juan Felipe P. J. and Lionheart, William R.B.
(2004)
*Rank analysis of the anisotropic inverse conductivity problem.*
In: International Conference on Electrical Bioimpedance and Electrical Impedance Tomography, 20-24 June 2004, Gdansk, Poland..

Adler, Andy and Gaburro, Romina and Lionheart, William
(2015)
*Electrical Impedance tomography.*
In:
Handbook of Mathematical Methods in Imaging.
SpringerReference
.
Springer, pp. 701-762.
ISBN 978-0-387-92919-4

Adler, Andy and Lionheart, William R.B.
(2015)
*Conductivity perturbations in EIT.*
In: Proceedings of the 16th International Conference on Biomedical Applications of ELECTRICAL IMPEDANCE TOMOGRAPHY, June 3-5, 2015, CSEM SA Neuchâtel, Switzerland.

Adler, Andy and Lionheart, William R.B.
(2006)
*Uses and abuses of EIDORS: An extensible software base for EIT.*
Physiological Measurement, 27.
S25-S42.
ISSN 0967-3334

Ahmad Khairuddin, Taufiq Khairi bin
(2016)
*Characterization of Objects by Fitting the Polarization Tensor.*
Doctoral thesis, The University of Manchester.

Al-Foraih, Mishari and Johnson, Paul and Duck, Peter
(2014)
*Investment Lags:
A Numerical Approach.*
In: 3rd International Conference on Operations Research and Enterprise Systems, 6-8 March 2014, Angers, France.

Al-Foraih, Mishari and Johnson, Paul and Evatt, Geoff and Duck, Peter
(2012)
*Optimal Staffing Policy:
A Service System with Stochastic Travel Times.*
In: 2nd International Conference on Operation Research and Enterprise Systems, 16-18 February 2013, Barcelona, Spain.

Al-Humaidi, Saleh
(2010)
*FORWARD AND INVERSE PROBLEM FOR NEMATIC LIQUID CRYSTALS.*
Doctoral thesis, University of Manchester.

Al-Zamil, Qusay and Montaldi, James
(2010)
*Generalized Dirichlet to Neumann operator on invariant differential forms and equivariant cohomology.*
[MIMS Preprint]

Al-Zamil, Qusay and Montaldi, James
(2012)
*Generalized Dirichlet to Neumann operator on invariant differential forms and equivariant cohomology.*
Topology and Applications, 159.
pp. 823-832.
ISSN 0166-8641

Al-Zamil, Qusay and Montaldi, James
(2010)
*Witten-Hodge theory for manifolds with boundary.*
[MIMS Preprint]

Al-Zamil, Qusay and Montaldi, James
(2012)
*Witten-Hodge theory for manifolds with boundary and equivariant cohomology.*
Differential Geometry and its Applications, 30 (2).
pp. 179-194.
ISSN 0926-2245

Al-Zamil, Qusay Soad Abdul-Aziz
(2011)
*Algebraic Topology of PDEs.*
Doctoral thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

Alexandrov, S. and Harris, David
(2006)
*Comparison of solution behaviour for three models of pressure-dependent plasticity: A simple analytical example.*
International Journal of Mechanical Sciences, 48 (7).
pp. 750-762.
ISSN 0020-7403

Andreas, Papayiannis and Paul, Johnson and Dmitry, Yumashev and Peter, Duck
(2013)
*Continuous-Time Revenue Managment in Carparks - Part two: Refining the PDE.*
In: 2nd International Conference on Operations Research and Enterprise Systems, 16-18 February, Barcelona, Spain.

Arridge, S.R. and Lionheart, W.R.B
(1998)
*Nonuniqueness in diffusion-based optical tomography.*
Optics Letters, 23 (11).
pp. 882-884.
ISSN 0146-9592

Assier, Raphael and Peake, Nigel
(2012)
*On the diffraction of acoustic waves by a quarter-plane.*
Wave Motion, 49 (1).
pp. 64-82.

Assier, Raphael and Peake, Nigel
(2012)
*Precise description of the different far fields encountered in the problem of diffraction of acoustic waves by a quarter-plane.*
IMA Journal of Applied Mathematics, 77 (5).
pp. 605-625.

## B

Bespalov, Alex and Powell, Catherine E. and Silvester, David
(2014)
*Energy norm a posteriori error estimation for parametric operator equations.*
SIAM Journal on Scientific Computing, 36 (2).
A339-A363.
ISSN 1095-7197

Bespalov, Alex and Silvester, David
(2015)
*Efficient adaptive stochastic Galerkin methods for parametric operator equations.*
[MIMS Preprint]

Bespalov, Alexei and Powell, Catherine E. and Silvester, David
(2012)
*A priori error analysis of stochastic Galerkin mixed approximations of elliptic PDEs with random data.*
SIAM Journal on Numerical Analysis, 50 (4).
pp. 2039-2063.
ISSN 1095-7170

Betcke, Timo
(2006)
*A GSVD formulation of a domain decomposition method for planar eigenvalue problems.*
[MIMS Preprint]

Betcke, Timo
(2006)
*A GSVD formulation of a domain decomposition method for planar eigenvalue problems.*
IMA Journal of Numerical Analysis.
ISSN 1464-3642

Blair, James W. and Johnson, Paul V. and Duck, Peter W.
(2015)
*Analysis of optimal liquidation in limit order books.*
Preprint.
(Submitted)

Blair, James W. and Johnson, Paul V. and Duck, Peter W.
(2015)
*Analysis of optimal liquidation in limit order books for portfolios of correlated assets with stochastic volatility.*
Preprint.
(Unpublished)

Borsic, Andrea and Graham, Brad M. and Adler, Andy and Lionheart, William R.B.
(2007)
*Total Variation Regularization in Electrical Impedance Tomography.*
[MIMS Preprint]

Boyle, Alistair and Adler, Andy and Lionheart, William R.B.
(2012)
*Shape Deformation in Two-Dimensional Electrical Impedance Tomography.*
IEEE Transactions of Medical Imaging.
(Submitted)

Breckon, William R.
(1992)
*The problem of Anisotropy in Electrical Impedance Tomography.*
roceedings of 14th International Conference of the IEEE Engineering in Medicine and Biology Society, Paris, (1992)., 5.
pp. 1734-1735.

Breckon, William R.
(1992)
*The problem of Anisotropy in Electrical Impedance Tomography.*
Proceedings of 14th International Conference of the IEEE Engineering in Medicine and Biology Society, Paris .
pp. 1734-1735.

Breckon, William Robert
(1990)
*Image reconstruction in electrical impedance tomography.*
Doctoral thesis, Oxford Polytechnic.

Broomhead, David and Huke, Jeremy and Montaldi, James and Muldoon, Mark
(2012)
*Finite-dimensional behaviour and observability in a randomly forced PDE.*
Dynamical Systems, 27.
pp. 57-73.
ISSN 1468â��9375

Buchstaber, Victor and Leykin, Dmitry
(2006)
*The problem of differentiation of an Abelian function over its parameters.*
[MIMS Preprint]

Buchstaber, Victor and Leykin, Dmitry
(2006)
*The problem of differentiation of an Abelian function over its parameters.*
[MIMS Preprint]

## C

Chahlaoui, Younes
(2003)
*Low-rank approximation and model reduction.*
Doctoral thesis, University Catholic of Louvain, Louvain-La-Neuve, Belgium.

Crabb, Michael
(2014)
*EIT Reconstruction Algorithms for Respiratory Intensive Care.*
Doctoral thesis, The University of Manchester.

Crowder, Adam J and Powell, Catherine E
(2017)
*CBS Constants and Their Role in Error Estimation for Stochastic Galerkin Finite Element Methods.*
[MIMS Preprint]

## D

Dold, J W
(1985)
*Analysis of the early stage of thermal runaway.*
Quart. Jnl. Mech. Appl. Math., 38.
pp. 361-387.

Dold, J W
(1989)
*Analysis of thermal runaway in the ignition process.*
SIAM J. Appl. Math., 49 (2).
pp. 459-480.

Dold, J W
(1989)
*Flame propagation in a nonuniform mixture: analysis of a slowly varying triple flame.*
Combustion and Flame, 76.
pp. 71-88.

Dold, J W
(1989)
*Observations on the nature of reaction runaway in reaction-diffusion systems.*
In:
Nonlinear Waves in Active Media.
Springer-Verlag, Berlin, Heidelberg, pp. 210-217.

Dold, J W and Hartley, L J and Green, D
(1991)
*Dynamics of laminar triple-flamelet structures in non-premixed turbulent combustion.*
In:
Dynamical Issues in Combustion Theory.
IMA Volumes in Mathematics and its Applications, 35
.
Springer-Verlag, Berlin, Heidelberg, pp. 83-105.
ISBN 0387975837

Dold, J.W.
(2007)
*Premixed flames modelled with thermally sensitive intermediate branching kinetics.*
Combustion Theory and Modelling.
ISSN 1741-3559

Dold, J.W. and Greenberg, J.B. and Weber, R.O. and Zinoviev, A. and Sivashinsky, G.
(2005)
*A porous medium model for vegetation in bushfires.*
In: Proceedings of the 5th Asia Pacific Conference on Combustion, 17-20 July 2005, Adelaide.
(Unpublished)

Dold, J.W. and Sivashinsky, G. and Weber, R.O.
(2005)
*Onset of flow-induced fingering in bushfires.*
In: Proceedings of the 5th Asia Pacific Conference on Combustion, 17-20 July 2005, Adelaide.
(Unpublished)

Dorn, O and Lionheart, WRB and Soleimani, M
(2006)
*Level set reconstruction of conductivity and permittivity from boundary electrical measurements using experimental data.*
Inverse Problems in Science and Engineering, 14 (2).
pp. 193-210.
ISSN 1741-5977

Druskin, Vladimir and Güttel, Stefan and Knizhnerman, Leonid
(2016)
*Compressing variable-coefficient exterior Helmholtz problems via RKFIT.*
[MIMS Preprint]

Druskin, Vladimir and Güttel, Stefan and Knizhnerman, Leonid
(2016)
*Compressing variable-coefficient exterior Helmholtz problems via RKFIT.*
[MIMS Preprint]

Druskin, Vladimir and Güttel, Stefan and Knizhnerman, Leonid
(2013)
*Near-optimal perfectly matched layers for indefinite Helmholtz problems.*
[MIMS Preprint]

Druskin, Vladimir and Güttel, Stefan and Knizhnerman, Leonid
(2016)
*Near-optimal perfectly matched layers for indefinite Helmholtz problems.*
SIAM Review, 58 (1).
pp. 90-116.
ISSN 1095-7200

Druskin, Vladimir and Güttel, Stefan and Knizhnerman, Leonid
(2013)
*Near-optimal perfectly matched layers for indefinite Helmholtz problems.*
[MIMS Preprint]

Druskin, Vladimir and Güttel, Stefan and Knizhnerman, Leonid
(2013)
*Near-optimal perfectly matched layers for indefinite Helmholtz problems.*
[MIMS Preprint]

du Toit, Jacques and Peskir, Goran
(2007)
*The Trap of Complacency in Predicting the Maximum.*
Ann. Probability, 35.
pp. 340-365.

## E

Ekström, Erik
(2004)
*Convexity of the optimal stopping boundary for the American put option.*
Journal of Mathematical Analysis and Applications, 299 (1).
pp. 147-156.
ISSN 0022-247X

Ekström, Erik and Janson, Svante and Tysk, Johan
(2005)
*Superreplication of options on several underlying assets.*
Journal of Applied Probability, 42 (1).
pp. 27-39.
ISSN 0021-9002

Ekström, Erik and Tysk, Johan
(2006)
*The American put is log-concave in the log-price.*
Journal of Mathematical Analysis and Applications, 314 (2).
pp. 710-723.
ISSN 0022-247X

Ekström, Erik and Tysk, Johan
(2006)
*Properties of Option Prices in
a Jump Diffusion Model.*
[MIMS Preprint]

Ekström, Erik and Tysk, Johan
(2006)
*A boundary point lemma for Black-Scholes type equations.*
Communications in Pure and Applied Analysis, 5 (3).
pp. 505-514.
ISSN 1386-923X

Elman, Howard C. and Ramage, Alison and Silvester, David J.
(2007)
*Algorithm 866: IFISS, a Matlab toolbox for modelling incompressible flow.*
ACM Transactions on Mathematical Software (TOMS), 33 (2: 14).
ISSN 0098-3500

Evatt, G. W. and Johnson, P. V. and Duck, P. W. and Howell, S. D. and Moriarty, J.
(2011)
*The Expected Lifetime of an Extraction
Project.*
Proceedings of the Royal Society A, 467 (2125).
pp. 244-263.
ISSN 1471-2946

Evatt, G.W. and Moriarty, J. and Johnson, P.V and Duck, P.W.
(2011)
*Regulating Industries under Exogenous Uncertainty.*
Working Paper.
(Submitted)

Evatt, G.W. and Moriarty, J. and Johnson, P.V and Duck, P.W.
(2011)
*Regulating Industries under Exogenous Uncertainty.*
[MIMS Preprint]

Evatt, G.W. and johnson, P.V. and Duck, P.W. and Howell, S.D.
(2010)
*Mine Valuation in the Presence of a Stochastic
Ore-Grade Uncertainty.*
Proceedings of the World Congress on Engineering, III.
pp. 1-6.

## G

Gaburro, Romina and Lionheart, William
(2010)
*Determining the absorption in anisotropic media.*
[MIMS Preprint]

Gaburro, Romina and Lionheart, William R.B.
(2008)
*Recovering Riemannian metrics in
monotone families from boundary
data.*
[MIMS Preprint]

Gray, J.M.N.T.
(2001)
*Granular flow in partially filled slowly rotating drums.*
Journal of Fluid Mechanics, 441.
pp. 1-29.
ISSN 0022-1120

Gray, J.M.N.T. and Chugunov, V.A.
(2006)
*Particle-size segregation and diffusive remixing in shallow granular avalanches.*
Journal of Fluid Mechanics, 569.
pp. 365-398.
ISSN 0022-1120

Gray, J.M.N.T. and Tai, Y.-C and Noelle, S
(2003)
*Shock waves, dead-zones and particle-free regions in rapid granular free surface flows.*
Journal of Fluid Mechanics, 491.
pp. 161-181.
ISSN 0022-1120

Gray, J.M.N.T. and Thornton, A.R.
(2005)
*A theory for particle size segregation in shallow granular free-surface flows.*
Proceedings of the Royal Society A, 461.
pp. 1447-1473.
ISSN 1364-5021

Gray, JMNT and Shearer, M and Thornton, AR
(2006)
*Time-dependent solutions for particle size segregation in shallow granular avalanches.*
Proceedings of the Royal Society A, 462.
pp. 947-972.
ISSN 1364-5021

Gray, JMNT and Thornton, AR
(2005)
*A theory for particle size segregation in shallow granular free-surface flows.*
Proceedings of the Royal Society A, 461.
pp. 1447-1473.
ISSN 1364-5021

Green, Ross and Abrahams, I. David and Fusai, Gianluca
(2007)
*Pricing financial claims contingent upon an underlying asset monitored at discrete times.*
Journal of Engineering Mathematics, 59 (4).
pp. 373-384.
ISSN 1573-2703
(In Press)

Greenberg, J.B. and Zinoviev, A. and Dold, J.W.
(2007)
*Analysis of a laminar premixed spray flame with modified Zeldovitch-Linan kinetics.*
In: Proceedings of 47th Annual Israel Aerospace Sciences Conference, 2007, Israel.
(Unpublished)

Gresho, Philip and Griffiths, David and Silvester, David
(2008)
*Adaptive time-stepping for incompressible flow. Part I: scalar advection-diffusion.*
SIAM Journal on Scientific Computing, 30 (4).
pp. 2018-2054.
ISSN 1064-8275

Griffiths, David and Silvester, David
(2011)
*Unstable modes of the Q1-P0 element.*
[MIMS Preprint]

Griffiths, David F. and Dold, John W. and Silvester, David J.
(2015)
*Essential partial differential equations.*
Springer Undergraduate Mathematics Series
.
Springer, Switzerland.

## H

Harris, D.
(2001)
*Characteristic relations for a model for the flow of granular materials.*
Mathematical, Physical and Engineering Sciences, 457 (2006).
pp. 347-370.
ISSN 1471-2946

Harris, D.
(2001)
*Ill and well-posed models of granular flow.*
Acta Mechanica, 146 (3-4).
pp. 199-225.
ISSN 1619-6937

Harris, D. and Grekova, E.F.
(2005)
*A hyperbolic well-posed model for the flow of granular materials.*
Journal of Engineering Mathematics, 52 (1).
pp. 107-135.
ISSN 0022-0833

Harter, R. and Abrahams, I. David and Simon, M. J.
(2007)
*The effect of surface tension on trapped modes in water-wave problems.*
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 463 (2088).
pp. 3131-3149.
ISSN 1471-2946
(In Press)

Hogg, AJ and Gray, JMNT and Cui, X
(2005)
*Granular Vacua.*
In:
Powders and Grains 2005.
A.A. Balkema, Rotterdam, pp. 929-933.
ISBN 041538348X

Hudson, Justin
(2006)
*A Review on the Numerical Solution of the 1D Euler Equations.*
[MIMS Preprint]

Hudson, Justin and Harris, David
(2006)
*Model A-EE : An Eulerian Two-Phase Gas-Solid Model.*
[MIMS Preprint]

Hudson, Justin and Harris, David
(2006)
*Numerical Modelling of Eulerian Two-Phase Gas-Solid Flow.*
[MIMS Preprint]

Hudson, Justin and Harris, David
(2006)
*Numerical Solution of the Equations Governing 2D Eulerian Gas-Solid Two-Phase Flow.*
[MIMS Preprint]

Hudson, Justin and Harris, David
(2006)
*A high resolution scheme for Eulerian gas-solid two-phase isentropic flow.*
Journal of Computational Physics, 216 (2).
pp. 494-525.
ISSN 1090-2716

## J

Jerbi, Karim and Lionheart, William and Vauhkonen, Paivi and Vauhkonen, Marko
(2013)
*Sensitivity matrix and reconstruction algorithm for EIT assuming axial uniformity.*
[MIMS Preprint]

Johnson, P.V. and Evatt, G.W. and Duck, P.W. and Howell, S
(2011)
*The Determination of a Dynamic Cut-Off
Grade for the Mining Industry.*
In:
Electrical Engineering and Applied Computing.
Lecture Notes in Electrical Engineering, 90
.
Springer, pp. 391-403.
ISBN 978-94-007-1192-1

Johnson, Paul
(2008)
*IMPROVED NUMERICAL TECHNIQUES FOR OCCUPATION-TIME DERIVATIVES AND OTHER COMPLEX FINANCIAL INSTRUMENTS.*
Doctoral thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

Joshi, Mark S and Lionheart, William RB
(2005)
*An inverse boundary value problem for harmonic differential forms.*
Asymptotic Analysis, 41 (2).
pp. 93-106.
ISSN 0921-7134

Joshi, Mark S and Lionheart, William RB
(2005)
*An inverse boundary value problem for harmonic differential forms.*
Asymptotic Analysis, 41 (2).
pp. 93-106.
ISSN 0921-7134

## K

Kelly, C.J. and Smallbone, K. and Roose, T. and Brady, J.M.
(2007)
*A model to investigate the feasibility of FDG as a surrogate marker of hypoxia.*
In: ISBI 2007. 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, 12-15 April 2007, Washington DC.

Khan, Arbaz and Upadhyay, Chandra Shekhar and Gerritsma, Marc
(2017)
*Spectral element method for parabolic interface problems: Regularity
estimates, stability theorem and error estimate.*
[MIMS Preprint]

Kloeden, P.E. and Shardlow, T.
(2010)
*THE MILSTEIN SCHEME FOR STOCHASTIC DELAY
DIFFERENTIAL EQUATIONS WITHOUT ANTICIPATIVE
CALCULUS.*
[MIMS Preprint]

## L

Lawrie, Jane B. and Abrahams, I. David
(2007)
*A brief historical perspective of the Wiener-Hopf technique.*
Journal of Engineering Mathematics, 59 (4).
pp. 351-358.
ISSN 1573-2703
(In Press)

Ledger, Paul D and Lionheart, William RB
(2013)
*Characterising the shape and material properties of hidden targets from magnetic induction data.*
[MIMS Preprint]

Ledger, Paul D and Lionheart, William RB
(2013)
*Characterising the shape and material properties of hidden targets from magnetic induction data.*
[MIMS Preprint]

Ledger, Paul D and Lionheart, William RB
(2013)
*The perturbation of electromagnetic fields at distances that are large compared to the objectâ��s size.*
[MIMS Preprint]

Lionheart, William and Polydorides, Nicholas and Borsic, Andrea
(2004)
*Part 1: the reconstruction problem.*
In:
Electrical Impedance Tomography: Methods, History and Applications.
Series in Medical Physics and Biomedical Engineering
.
Institute of Physics, Bristol, pp. 3-64.
ISBN 0750309520

Lionheart, William R
(2008)
*Inverse problems in industry.*
Mathematics Today, 44 (1).
pp. 24-26.
ISSN 1361-2042

Lionheart, William R
(1999)
*Uniqueness, Shape, and Dimension in EIT.*
Annals of the New York Academy of Sciences, 873.
pp. 466-471.

Lionheart, William R. B. and Paridis, Kyriakos
(2010)
*Finite Elements and Anisotropic EIT reconstruction.*
In: 14th International Conference on Electrical Bioimpedance and the 11th Conference on Biomedical Applications of EIT, 4-8 Apr 2010, Gainesville, FL, USA.
(Unpublished)

Lionheart, William R.B.
(1998)
*Boundary Shape and Electrical Impedance Tomography.*
Inverse Problems, 14 (1).
pp. 139-147.
ISSN 0266-5611

Lionheart, William R.B.
(2004)
*Geometric methods for anisotopic inverse boundary value problems.*
In:
New Analytic and Geometric Methods in Inverse Problems Lectures given at the EMS Summer School and Conference held in Edinburgh, Scotland 2000.
Springer, Berlin, pp. 337-351.
ISBN 3540406824

Lionheart, William R.B.
(2001)
*Reconstruction Algorithms for Permittivity and Conductivity Imaging.*
Proceedings of the 2nd World Congress on Industrial Process Tomography, Hannover, Germany , Wednesday 29th to Friday 31st August 2001.
pp. 4-11.

Lionheart, William R.B. and Adler, Andy
(2021)
*The SVD of the linearized EIT problem on a disk.*
In: 21 st International Conference on Biomedical Applications of ELECTRICAL IMPEDANCE TOMOGRAPHY, 14–16 June 2021, National University of Ireland, Galway.

Lord, Gabriel and Shardlow, Tony
(2006)
*Post processing for stochastic parabolic partial differential
equations.*
[MIMS Preprint]

## M

Mazzocco, Marta
(2004)
*Irregular isomonodromic for Garnier systems and Okamoto's canonical transformations.*
Journal of the London Mathematical Society, 70 (2).
pp. 405-419.
ISSN 0024-6107

Mazzocco, Marta
(2001)
*Picard and Chazy solutions to the Painlevé VI equation.*
Mathematische Annalen, 321 (1).
pp. 131-169.
ISSN 1432-1807

## N

Newsum, Craig J. and Powell, Catherine E.
(2016)
*Efficient reduced basis methods for saddle point problems with applications in groundwater flow.*
[MIMS Preprint]

## O

Odesskii, Alexander and Sokolov, Vladimir
(2007)
*On (2+1)-dimensional hydrodynamic type systems possessing pseudopotential with movable singularities.*
[MIMS Preprint]

Oksendal, Bernt and Proske, Frank and Zhang, Tusheng
(2006)
*Backward Stochastic Partial Differential
Equations with Jumps and Application to
Optimal Control of Random Jump Fields.*
[MIMS Preprint]

## P

Papanikos, Georgios and Powell, Catherine E.
(2022)
*ML-SGFEM User Guide.*
[MIMS Preprint]

Paridis, Kyriakos and Lionheart, William R. B.
(2010)
*Shape corrections for 3D EIT.*
In: 14th International Conference on Electrical Bioimpedance and the 11th Conference on Biomedical Applications of EIT, 4-8 Apr 2010, Gainesville, FL, USA.
(Unpublished)

Parnell, William J and Abrahams, I David
(2005)
*Dynamic homogenization in periodic fibre reinforced media. Quasi-static limit for SH waves.*
Wave Motion, 43 (6).
pp. 474-498.
ISSN 0165-2125
(In Press)

Parnell, William J.
(2015)
*The Hill and Eshelby tensors for ellipsoidal inhomogeneities in
the Newtonian potential problem and linear elastostatics.*
[MIMS Preprint]

Peskir, Goran
(2005)
*On the American option problem.*
Mathematical Finance, 15 (1).
pp. 169-181.
ISSN 0960-1627

Peskir, Goran
(2003)
*On the diffusion coefficient: The Einstein relation and beyond.*
Stochastic Models, 19 (3).
pp. 383-405.
ISSN 1532-4214

Peskir, Goran
(2005)
*The Russian option: Finite horizon.*
Finance and Stochastics, 9 (2).
pp. 251-267.
ISSN 1432-1122

Peskir, Goran
(2005)
*A change-of-variable formula with local time on curves.*
Journal of Theoretical Probability, 18 (3).
pp. 499-535.
ISSN 1572-9230

Powell, C.E. and Shardlow, T and Lord, G.J.
(2014)
*Preface to "An Introduction to Computational Stochastic PDEs".*
In:
An Introduction to Computational Stochastic PDEs.
Cambridge Texts in Applied Mathematics
.
Cambridge University Press, USA.
ISBN 9780521728522

Powell, Catherine E
(2006)
*Robust Preconditioning for Second-Order Elliptic PDEs with Random Field Coefficients.*
[MIMS Preprint]

Powell, Catherine E. and Gordon, Andrew D.
(2013)
*A Preconditioner for Fictitious Domain Formulations of Elliptic PDEs on Uncertain Parameterized Domains.*
[MIMS Preprint]

Powell, Catherine E. and Silvester, David and Simoncini, Valeria
(2015)
*An Efficient Reduced Basis Solver for Stochastic Galerkin Matrix Equations.*
[MIMS Preprint]

Powell, Catherine E. and Silvester, David J.
(2012)
*Preconditioning steady-state Navier-Stokes equations with random data.*
SIAM Journal on Scientific Computing (submitted).
(Submitted)

Powell, Catherine E. and Ullmann, Elisabeth
(2009)
*Preconditioning stochastic Galerkin saddle point systems.*
[MIMS Preprint]

Prinja, Gaurav K.
(2010)
*Adaptive Solvers for Elliptic and Parabolic Partial Differential Equations.*
Doctoral thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

## Q

Qusay Soad Abdul-Aziz, Al-Zamil
(2013)
*Hankel Determinant Structure of the Rational Solutions for Fifth PainlevÃ© Equation.*
APPLIED MATHEMATICAL SCIENCES, Vol. 7 (No. 9).
pp. 445-452.
ISSN 1312-885X (print) ISSN 1314-7552 (online)

## R

Riley, C. J. and Muldoon, M. R. and Huke, J. P. and Broomhead, D. S.
(2007)
*Does Reaction-diffusion Dynamics on a Fractal Space Imply Power Law Behaviour?*
[MIMS Preprint]

Riley, Caroline J.
(2006)
*Reaction and Diffusion on the Sierpinski Gasket.*
Doctoral thesis, The University of Manchester.

Rockner, Michael and Zhang, Tusheng
(2006)
*Stochastic Evolution Equations Driven by
Compensated Poisson Measures: Existence,
Uniqueness and Large Deviation Estimates.*
[MIMS Preprint]

## S

Shardlow, Tony
(2004)
*Nucleation of waves in excitable media by noise.*
Multiscale Modeling and Simulation, 3 (1).
pp. 151-167.
ISSN 1540-3459

Silvester, David and Bespalov, Alexei and Powell, Catherine E.
(2011)
*A framework for the development of implicit solvers for incompressible flow problems.*
[MIMS Preprint]

Silvester, David and Liao, Qifeng
(2013)
*Robust Stabilized Stokes Approximation Methods for Highly Stretched Grids.*
IMA Journal of Numerical Analysis, 33.
pp. 413-431.
ISSN 0272-4979

Silvester, David and Pranjal
(2015)
*An optimal iterative solver for linear systems arising from SFEM
approximation of diffusion equations with random coefficients.*
[MIMS Preprint]

Smallbone, K. and Gatenby, R.A. and Maini, P.K.
(2008)
*Mathematical modelling of tumour acidity.*
Journal of Theoretical Biology, 255 (1).
pp. 106-112.
ISSN 0022-5193

Smethurst, Christopher A. and Silvester, David J. and Mihajlovic, Milan D.
(2012)
*Unstructured finite element method for the solution of the
Boussinesq problem in 3D.*
[MIMS Preprint]

Stephenson, David R and Davidson, John L and Lionheart, William R.B. and Grieve, Bruce D and York, Trevor A
(2005)
*Comparison of 3D Image Reconstruction Techniques using Real Electrical Impedance Measurement Data.*
Proceedings of the 4th World Congress on Industrial Process Tomography.
pp. 643-650.

## T

Tai, Y.-C. and Noelle, S. and Gray, J.M.N.T.
(2002)
*Shock capturing and front tracking methods for granular avalanches.*
Journal of Computational Physics, 175.
pp. 269-301.
ISSN 0021-9991

Thornton, A R and Gray, J M N T
(2008)
*Breaking size-segregation waves and particle recirculation in granular avalanches.*
Journal of Fluid Mechanics, 596 (596).
pp. 261-284.
ISSN 1469-7645

Thornton, AR and Gray, JMNT and Hogg, AJ
(2006)
*A three-phase mixture theory for particle size segregation in shallow granular free-surface flows.*
Journal of Fluid Mechanics, 550.
pp. 1-25.
ISSN 0926-5112

Tindall, Marcus J. and Dyson, Louise and Smallbone, Kieran and Maini, Philip K.
(2009)
*Modelling acidosis and the cell cycle in multicellular tumour spheroids.*
[MIMS Preprint]

Tindall, Marcus J. and Dyson, Louise and Smallbone, Kieran and Maini, Philip K.
(2011)
*Modelling acidosis and the cell cycle in multicellular tumour spheroids.*
Journal of Theoretical Biology.
(In Press)

Tindall, Marcus J. and Dyson, Louise and Smallbone, Kieran and Maini, Philip K.
(2012)
*Modelling acidosis and the cell cycle in multicellular tumour spheroids.*
Journal of Theoretical Biology, 298.
pp. 107-115.

Trefethen, Lloyd N. and Betcke, Timo
(2005)
*Computed eigenmodes of planar regions.*
AMS Contemporary Mathematics.
(In Press)

Tregidgo, Henry F.J.
(2017)
*Inverse Problems and Control for Lung Dynamics.*
Doctoral thesis, University of Manchester.

## U

Ullmann, Elisabeth and Powell, Catherine
(2014)
*Solving log-transformed random diffusion problems by stochastic Galerkin mixed finite element methods.*
[MIMS Preprint]

## V

Van Berkel, C. and Lionheart, W. R. B.
(2007)
*Reconstruction of a grounded object in an electrostatic halfspace with an indicator function.*
Inverse Problems in Science and Engineering, 15 (6).
pp. 585-600.
ISSN 1741-5985

van Berkel, Cees and Lionheart, William R. B.
(2005)
*An Iterative Method for Electrostatic Object Reconstruction in a Half Space.*
[MIMS Preprint]

van Berkel, Cornelis
(2008)
*Reconstruction of Grounded Objects from Cauchy Data on a Plane.*
Doctoral thesis, The University of Manchester.

## W

Watson, Francis Maurice
(2016)
*BETTER IMAGING FOR LANDMINE DETECTION: AN EXPLORATION OF 3D FULL-WAVE INVERSION FOR GROUND-PENETRATING RADAR.*
Doctoral thesis, The University of Manchester.

Woo, Hyenkyun and Kim, Sungwhan and Seo, Jin Keun and Lionheart, William and Woo, Eung Je
(2006)
*A direct tracking method for a grounded conductor inside a pipeline from capacitance measurements.*
Inverse Problems in Science and Engineering, 22 (2).
pp. 481-494.
ISSN 1741-5985