Preprint Series

2012

MPS-2012-01 "Integration of a 3D Variational data assimilation scheme with a coastal area morphodynamic model of Morecambe Bay" by G.D. Thornhill, D.C. Mason, S.L. Dance, A.S. Lawless, N.K. Nichols and H.R. Forbes

MPS-2012-02 "The Unsteady Flow of a Weakly Compressible Fluid in a thin Porous Layer III: Three-dimensional Computations" by S. Langdon, D.J. Needham, B.A. Samson and J.P. Gilchrist

MPS-2012-03 "High frequency scattering by screens: frequency-explicit coercivity estimates" by S.N. Chandler-Wilde and D.P. Hewett

MPS-2012-04 "A high frequency boundary element method for scattering by a class of non-convex obstacles" by S.N. Chandler-Wilde, D.P. Hewett, S. Langdon and A. Twigger

MPS-2012-05 "On Error Dynamics and Instability in Data Assimilation" by Roland W.E. Potthast, Alexander J.F. Moodey, Amos S. Lawless and Peter Jan van Leeuwen

MPS-2012-06 "On Instabilities in Data Assimilation Algorithms" by Boris A. Marx and Roland W.E. Potthast

MPS-2012-07 "Flow and Shape Reconstruction from Remote Measurements" by Qazi Muhammad Zaigham Zia and Roland W.E. Potthast

MPS-2012-08 "On Discrimination Algorithms for Ill-Posed Problems with an Application to Magnetic Tomography" by Natalie Lowery, Roland Potthast, Maria Vahdati and William Holderbaum

MPS-2012-09 "The Stokes Conjecture for Waves with Vorticity" by Eugen Varvaruca and Georg S. Weiss

MPS-2012-10 "High frequency sound propagation in a network of interconnecting streets" by D.P.Hewett

2011

MPS-2011-01 "Use of the Ratio Plot in Capture-Recapture Estimation" by Dankmar Böhning, M. Fazil Baksh, Rattana Lerdsuwansri and James Gallagher

MPS-2011-02 "The Unsteady Flow of a Weakly Compressible Fluid in a Thin Porous Layer. II: Three-Dimensional Theory" by D.J. Needham, S. Langdon, B.A .Samson and J.P. Gilchrist

MPS-2011-03 "A moving mesh approach for modelling avascular tumour growth" by T.E. Lee, M.J. Baines, S. Langdon and M.J. Tindall

MPS-2011-04 "How Many Cases Are Missed When Screening Human Populations for Disease?" by Dankmar Böhning and Heinz Holling

MPS-2011-05 "Capture-Recapture Estimation Based Upon the Zero-Truncated Exponentially Mixed Poisson" by Sa-aat Niwitpong, Dankmar Böhning, Peter G.M. van der Heijden and Heinz Holling

MPS-2011-06 "Two Maps and Worldwide Ipod Interest" by Reason L. Machete

MPS-2011-07 "Bistability Through Triadic Closure" by Peter Grindrod, Desmond J. Higham and Mark C. Parsons

MPS-2011-08 "On the Spectra and Pseudospectra of a Class of Non-Self-Adjoint Random Matrices and Operators" by Simon N. Chandler-Wilde, Ratchanikorn Chonchaiya and Marko Lindner

MPS-2011-09 "Successful Networks in Security and Defence" by Peter Grindrod and David Sloggett

MPS-2011-10 "Equivalence of Weak Formulations of the Steady Water Waves Equations" by Eugen Varvaruca and Arghir Zarnescu

MPS-2011-11 "Spectrum of a Feinberg-Zee Random Hopping Matrix" by S N Chandler-Wilde and E B Davies

MPS-2011-12 "Superfast non-linear diffusion model of capillary transport in particulate porous media" by A.V. Lukyanov, M.M. Sushchikh, M.J. Baines and T.G. Theofanous

MPS-2011-13 "Resolution of sharp fronts in the presence of model error in variational data assimilation" by M.A. Freitag, N.K. Nichols and C.J. Budd

MPS-2011-14 "Competing Edge Networks" by Mark Parsons and Peter Grindrod

MPS-2011-15 "Contrasting Probabilistic Scoring Rules" by Reason L. Machete

MPS-2011-16 "Data assimilation for state and parameter estimation: application to morphodynamic modelling" by P.J. Smith, G.D. Thornhill, S.L. Dance, A.S. Lawless, D.C. Mason and N.K. Nichols

MPS-2011-17 "Limits to Predicting Predictability: A case study" by Reason L. Machete

MPS-2011-18 "A High Frequency hp Boundary Element Method for Scattering by Convex Polygons" by D.P. Hewett, S. Langdon and J.M. Melenk

2010

MPS_2010_01 "A high frequency boundary element method for scattering by convex polygons with impedance boundary conditions" by S.N. Chandler-Wilde, S. Langdon and M. Mokgolele

MPS_2010_02 "Social Networks: Evolving Graphs with Memory Dependent Edges" by Peter Grindrod and Mark Parsons

MPS_2010_03 "Boundary value problems for the elliptic sine-Gordon equation in a semi-strip" by A.S. Fokas and B. Pelloni

MPS_2010_04 "Resolution of sharp fronts in the presence of model error in variational data assimilation" by M.A. Freitag, N.K. Nichols and C.J. Budd

MPS_2010_05 "Numerical estimation of coercivity constants for boundary integral operators in acoustic scattering" by T. Betcke and E.A. Spence

MPS_2010_06 "Model order reduction for discrete unstable control systems using a balanced truncation approach" by C. Boess, N.K. Nichols and A. Bunse-Gerstner

MPS_2010_07 "A note on the analysis error associated with 3D-FGAT" by A.S. Lawless

MPS_2010_08 "Eigenvalue problem meets Sierpinski triangle: computing the spectrum of a non-self-adjoint random operator" by Simon N. Chandler-Wilde, Ratchanikorn Chonchaiya and Marko Lindner

MPS_2010_09 "Models for Evolving Networks: with Applications in Telecommunication and Online Activities" by Peter Grindrod and Desmond J. Higham

MPS_2010_10 "Breakdown of hydrostatic balance at convective scales in the forecast errors in the Met Office Unified Model" by Sanita Vetra-Carvalho, Mark Dixon, Stefano Migliorini, Nancy K. Nichols and Susan P. Ballard

MPS_2010_11 "Correlations of control variables in variational data assimilation" by D. Katz, N.K. Nichols, A.S. Lawless, M.J.P. Cullen and R.N. Bannister

MPS_2010_12 "Mathematical Modelling for the Digital Society" by Peter Grindrod

MPS_2010_13 "Four-dimensional variational data assimilation for high resolution nested models" by G.M. Baxter, S.L. Dance, A.S. Lawless and N.K. Nichols

MPS_2010_14 "Regularization Techniques for Ill-posed Inverse Problems in Data Assimilation" by M.A. Freitag, N.K. Nichols and C.J. Budd

MPS_2010_15 "State estimation using model order reduction for unstable systems" by C. Boess, A.S. Lawless, N.K. Nichols and A. Bunse-Gerstner

MPS_2010_16 "Conditioning and Preconditioning of the Variational Data Assimilation Problem" by S.A. Haben, A.S. Lawless and N.K. Nichols

MPS_2010_17 "A hybrid data assimilation scheme for model parameter estimation: application to morphodynamic modelling" by Polly J. Smith, Sarah L. Dance, Nancy K. Nichols

MPS_2010_18 "State Estimation using the Particle Filter with Mode Tracking" by J.A. Pocock, S.L. Dance and A.S. Lawless

MPS_2010_19 "Ensemble data assimilation in the presence of cloud" by S. Vetra-Carvalho, S. Migliorini, N.K. Nichols

MPS_2010_20 "Flow-Dependent Balance Conditions for Incremental Data Assimilation: Elliptic Operators" by S.J. Fletcher, N.K. Nichols and I. Roulstone

MPS_2010_21 "Condition number estimates for combined potential integral operators in acoustics and their boundary element discretisation" by T. Betcke, S.N. Chandler-Wilde, I.G. Graham, S. Langdon and M. Lindner

MPS_2010_22 "Conditioning of incremental variational data assimilation, with application to the Met Office system" by S.A. Haben, A.S. Lawless and N.K. Nichols

MPS_2010_23 "A Statistical Mechanical Approach for the Computation of the Climatic Response to General Forcings" by Valerio Lucarini and Stefania Sarno

MPS_2010_24 "From Grievance to Martyrdom: A Mathematical Perspective on the Journey of Radicalisation" by Peter Grindrod and David Sloggett

MPS_2010_25 "Population Size Estimation Based upon Ratios of Recapture Probabilities" by Irene Rocchetti, John Bunge and Dankmar Böhning

MPS_2010_26 "An Extension of Chao's Estimator of Population Size Based on the First Three Capture Frequency Counts" by K. Lanumteang and D. Böhning

MPS_2010_27 "A moving mesh approach to ice sheet modelling" by D. Partridge and M.J. Baines

MPS_2010_28 "Initial Distribution Spread: A density forecasting approach" by R.L. Machete and I.M. Moroz

MPS_2010_29 "Wave trapping in a two-dimensional sound-soft acoustic waveguide of slowly-varying width" by Nicholas R.T. Biggs

MPS_2010_30 "Capture-Recapture Estimation by Means of Empirical Bayesian Smoothing with an Application to the Geographical Distribution of Hidden Scrapie in Great Britain" by Dankmar Böhning, Ronny Kuhnert and Victor Del Rio Vilas

MPS_2010_31 "Velocity-based moving mesh methods for nonlinear partial differential equations" by M.J. Baines, M.E. Hubbard and P.K. Jimack

MPS_2010_32 "Communicability Across Evolving Networks" by Peter Grindrod, Desmond J. Higham, Mark C. Parsons and Ernesto Estrada

MPS_2010_33 "NLEVP: A Collection of Nonlinear Eigenvalue Problems" by Timo Betcke, Nicholas J. Higham, Volker Mehrmann, Christian Schröder and Françoise Tisseur

MPS_2010_34 "Early Warning with Calibrated and Sharper Probabilistic Forecasts by Machete, R.L.

2009

MPS_2009_01 "The Unsteady Flow of a Weakly Compressible Fluid in a Thin Porous Layer. II: Three-Dimensional Theory" by D.J. Needham, S. Langdon, B.A. Samson and J.P. Gilchrist

MPS_2009_02 "Variational data assimilation for parameter estimation: application to a simple morphodynamic model" by P.J. Smith, S.L. Dance, M.J. Baines, N.K. Nichols and T.R. Scott

MPS_2009_03 "Condition number estimates for combined potential integral operators in acoustics and their boundary element discretisation" by S. N. Chandler-Wilde, I. G. Graham, S. Langdon and M. Lindner

MPS_2009_04 "Mathematical concepts of data assimilation" by N.K. Nichols

MPS_2009_05 "Perturbation, Computation and Refinement of Invariant Pairs for Matrix Polynomials" by T. Betcke and D. Kressner 

MPS_2009_06 "Symmetry-break, mixing, instability, and low frequency variability in a minimal Lorenz-like system" by V. Lucarini and K. Fraedrich

MPS_2009_07 "Symmetry-break in Voronoi Tessellations" by V. Lucarini

MPS_2009_08 "An exponentially convergent nonpolynomial finite element method for time-harmonic scattering from polygons" by A. H. Barnett and T. Betcke

MPS_2009_09 "Liquid flow over a substrate structured by seeded nanoparticles" by A.V. Lukyanov

MPS_2009_10 "Experimental Model of the Interfacial Instability in Aluminium Reduction Cells" by A. Pedchenko, S. Molokov, J. Priede, A. Lukyanov and P.J. Thomas

MPS_2009_11 "Classification of instability modes in a model of aluminium reduction cells with a uniform magnetic field" by Sergei Molokov, Gennady El and Alexander Lukyanov

MPS_2009_12 "Evolving Graphs: Dynamical Models, Inverse Problems and Propagation" by Peter Grindrod and Desmond J. Higham

MPS_2009_13 "On the spectra of certain Integro-Differential-Delay problems with applications in neurodynamics" by Peter Grindrod and Dimitris Pinotsis 

MPS_2009_14 "A Nyström Method for a Boundary Value Problem arising in Unsteady Water Wave" by Mark D. Preston, Peter G. Chamberlain and Simon N. Chandler-Wilde

MPS_2009_15 "The flow induced dynamic surface tension effects at nanoscale" by A.V. Lukyanov

MPS_2009_16 "The elliptic sine-Gordon equation in a half plane" by B. Pelloni and D.A. Pinotsis

MPS_2009_17 "Variational Approach in Weighted Sobolev Spaces to Scattering by Unbounded Rough Surfaces" by Simon Chandler-Wilde and Johannes Elschner

2008

MPS_2008_01 " The No Response Test for the Reconstruction of Polyhedral Objects in Electromagnetics" by Roland Potthast and Mourad Sini

MPS_2008_02 " Existence of Solutions to the Neural Field Equation" by Roland Potthast and Peter beim Graben

MPS_2008_03 " Periodic solutions for nonlinear dilation equations" by Peter Grindrod

MPS_2008_04: " The PML for Rough Surface Scattering" by Simon N. Chandler-Wilde and P. Monk

MPS_2008_05: " Repulsion Exerted on a Spherical Particle by a Polymer Brush" by Jaeup U. Kim and Mark W. Matsen

MPS_2008_06: " High frequency scattering by convex curvilinear polygons" by S. Langdon, M. Mokgolele and S. N. Chandler-Wilde

MPS_2008_07: " Individual Based Model With Competition in Spatial Ecology" by Dmitri Finkelshtein, Yuri Kondratiev and Oleksandr Kutoviy

MPS_2008_08: " On convergence of dynamics of hopping particles to a birth-and-death process in continuum" by Dmitri Finkelshtein, Yuri Kondratiev and Eugene Lytvynov

MPS_2008_09: " Boundary integral methods in high frequency scattering" by Simon N. Chandler-Wilde and Ivan G. Graham

MPS_2008_10: " Algorithms for magnetic tomography - on the role of a priori knowledge and constraints" by Karl-Heinz Hauer, Roland Potthast and Martin Wannert,

MPS_2008_11: " Particle Distributions in a Block Copolymer Nanocomposite" by M. W. Matsen and R. B. Thompson

MPS_2008_12: " Limit Operators, Collective Compactness, and the Spectral Theory of Infinite Matrices" by Simon N. Chandler-Wilde and Marko Lindner

MPS_2008_13: " Phase Transitions and Quantum Stabilization in Quantum Anharmonic Crystals" by Alina Kargol, Yuri Kondratiev and Yuri Kozitsky

MPS_2008_14: " Language Processing with Dynamic Fields" by Peter beim Graben, Dimitris Pinotsis, Douglas Saddy and Roland Potthast

MPS_2008_15: " Condition Number Estimates for Combined Potential Boundary Integral Operators in Acoustic Scattering" by Simon Chandler-Wilde, Ivan G. Graham, Stephen Langdon and Marko Lindner