# 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/R014604/1.

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
MSI Axel Brandenburg The case for a distributed solar dynamo shaped by near-surface shear
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
CPD J Sun An eddy current and micromagnetism model with applications to disk write heads
CPD JY Yuan On linearized backward Euler method for the equations of motion arising in the Oldroyd fluids of order one.
CPD K Mikula Computational solution, applications and analysis of some geometrical nonlinear diffusion equations
NPA P Goatin The Riemann problem for a class of resonant hyperbolic systems of balance laws
NPA MD Thanh The Riemann problem for fluid flows in a nozzle with discontinuous cross-section
CPD K Eriksson; A Logg On explicit time-stepping for stiff odes
NPA H Li Existence and asymptotic behavior of multi-dimensional quantum hydrodynamic model for semiconductors
CPD M Costabel; S Nicaise Singularities of eddy current problems
CPD A Russo On the choice of a stabilizing subgrid for convection-diffusion problems
CPD D Boffi; L Gastaldi Stability and geometric conservation laws for ALE formulations
NPA GQ Chen Steady transonic shocks and free boundary problems in infinite cylinders for the Euler equations
CPD C Schwab Numerical solution of parabolic equations in high dimensions
NPA D Serre Hyperbolicity of the non-linear models of Maxwell's equations
NPA VA Titarev TVD fluxes for the high-order ADER schemes