# Preprints

The Newton Institute has its own Preprint Series where the scientific papers of the Institute are freely available.

If you are a Cambridge author and you are submitting your work in the next REF then you will need to follow the guidelines on the University of Cambridge Open Access webpages to ensure that your work meets Open Access requirements. In addition, if you are supported by EPSRC or another UK Research Council, all publications published on/after 1st May 2015 need a statement describing how to access the underlying research data. For more information on this please see the University of Cambridge Research Data Management website www.data.cam.ac.uk

Newton Institute visitors are encouraged to submit relevant papers to the INI Preprint series. All papers should have been either completed at the Institute or based on work that took place partially or wholly at the Institute. You can submit material to the preprint series after your visit has ended as long as it is based on work during your visit. Please send a PDF copy to preprints@newton.ac.uk, which will be added to the lists below.

Bound hard copies of all preprints in the series are displayed in the Institute. We would also be pleased to hear from former visitors who have since completed papers based on research carried out here.

Please acknowledge the support of the Institute in your paper using the following text:

The author(s) would like to thank the Isaac Newton Institute for Mathematical Sciences, Cambridge, for support and hospitality during the programme [insert programme name] where work on this paper was undertaken. This work was supported by EPSRC grant no EP/K032208/1.

Papers published in the Series are listed by date of submission and may be downloaded as PDFs. Individual hard copies can also be obtained on request from the Institute.

Programme Authors Title Attachments
IGS SM Zarbaliev Approximation of convex curves by random lattice polygons
IGS G Slade Expansion in $n^{-1}$ for percolation critical values on the $n$-cube and $\mathbb{Z}^n$: the first three terms
IGS G Slade Asymptotic expansions in $n^{-1}$ for percolation critical values on the $n$-cube and $\mathbb{Z}^n$
GPF G Ehrhardt; A Stephenson Gases, liquids and crystals in granular segregation
IGS C Maes On the origin and the use of fluctuation relations for the entropy
IGS AY Veretennikov On ergodic measures for McKean-Vlasov stochastic equations 2
IGS G Ben Arous Limit theorems for random exponentials
GPF JMNT Gray Exact solutions of the Savage-Hutter equations for one-dimensional granular flows
GPF D Pritchard Cross-shore suspended sediment transport under tidal currents
GPF S Pudasaini Rapid motion of free-surface avalanches over natural terrains and their simulations through curved and twisted channels
GPF T Mullin; G Ehrhardt Segregation phases in a vibrated binary granular layer
IGS AY Veretennikov On ergodic measures for McKean-Vlasov stochastic equations
IGS AY Veretennikov Mixing and convergence rates for a family of Markov processes approximating SDEs
GPF D Pritchard The effects of hydraulic resistance on dam-break and other shallow inertial flows
IGS W König; P Mörters Brownian intersection local times: exponential moments and law of large masses
CPD D Praetorius Effective stimulation of a macroscopic model for stationary micromagnetics
NPA VA Titarev ADER schemes for scalar hyperbolic conservation laws in three space dimensions
CPD W Dörfler; M Ainsworth Reliable a posteriori error control for non-conforming finite element approximation of Stokes flow
CPD G Dziuk; CM Elliott Fully discrete semi-implicit second order splitting for anisotropic surface diffusion of graphs
CPD G Ji Sharp $\it L^1$ a posteriori error analysis for nonlinear convection diffusion problems
NPA VA Titarev Finite-volume weno schemes for three-dimensional conservation laws
CPD GR Richter A discontinuous Galerkin method for linear symmetric hyperbolic systems in inhomogeneous media
NPA GQ Chen Free boundary problems and transonic shocks for the Euler equations in unbounded domains
CPD L Prigozhin AC losses in type-II superconductors induced by non-uniform fluctuations of external magnetic field
NPA VA Titarev Eno and Weno schemes based on upwind centred TVD fluxes
CPD JM Melenk ${\it HP}$-interpolation of non-smooth functions
CPD S Langdon A wavenumber independent boundary element method for an acoustic scattering problem
CPD R Rodríguez Finite element methods in local active control of sound
CPD BD Bonner The computation of conical diffraction coefficients in high-frequency acoustic wave scattering
NPA GQ Chen Centred schemes for nonlinear hyperbolic equations
CPD CM Elliott; B Gawron; S Maier-Paape Discrete dynamics for convex and non-convex smoothing functionals in PDE based image restoration
CPD M Ainsworth Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods
CPD CM Elliott; D Kay; V Styles Finite element analysis of a current density - electric field formulation of Bean's model for superconductivity
CPD RH Nochetto A posteriori error analysis for the mean curvature flow of graphs
CMP S Winkler Negative correlation of edge events on uniform spanning forests
CPD JY Yuan Semidiscrete finite element Galerkin approximations to the equations of motion arising in the Oldroyd model
CPD B Guo Best approximation for the p-version of the finite element method in three dimensions in the framework of the Jacobi-weighted Besov spaces
CPD CM Elliott Uniqueness and error analysis for Hamilton-Jacobi equations with discontinuities
NPA VA Titarev Towards fully conservative numerical methods for the nonlinear model Boltzmann equation
CPD B Guo The optimal convergence of the ${\it h-p}$ version of the boundary element method with quasiuniform meshes for elliptic problems on polygonal domains