Items where Subject is "35 Partial differential equations"

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Number of items at this level: 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 1468�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 object�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 Painlevé 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

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