Bath Institute for Complex Systems - Department of Mathematical Sciences at the University of Bath

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Full list of BICS Preprints

Number	Title	Authors	Pdf size
7/11	A fast method for binary programming using first order derivatives, with application to topology optimization with buckling constraints	P. A. Browne, C. J. Budd, N. I. M. Gould, H. A. Kim and J. A. Scott	1.14MB
6/11	Typical distances in ultrasmall random networks	Steffen Dereich, Christian Moench, and Peter Moerters	0.44MB
5/11	A scaling limit theorem for the parabolic Anderson model with exponential potential	Hubert Lacoin and Peter Moerters	0.46MB
2/11	Finite Element Error Analysis of Elliptic PDEs with Random Coefficients and its Application to Multilevel Monte Carlo Methods	Julia Charrier, Robert Scheichl and Aretha Teckentrup	1.08MB
1/11	Multilevel Monte Carlo Methods and Applications to Elliptic PDEs with Random Coefficients	K.A. Cliffe, M.B. Giles, R. Scheichl and A.L. Teckentrup	1.10MB
10/10	Analysis of planewave methods for photonic crystal fibres	Richard Norton and Robert Scheichl	574KB
9/10	Eigenvalues in Spectral Gaps of Differential Operators	Marco Marletta and Robert Scheichl	1.08MB
8/10	Iterative methods for neutron transport eigenvalue problems	Fynn Scheben and Ivan G. Graham	480KB
7/10	From a large-deviations principle to the Wasserstein gradient flow: a new micro-macro passage	Stefan Adams, Nicolas Dirr, Mark A. Peletier and Johannes Zimmer	997KB
6/10	Adaptive finite element methods for computing band gaps in photonic crystals	S. Giani and I. G. Graham	810KB
5/10	Bayesian latent variable modelling in studies of air pollution and health	Ruth Salway, Duncan Lee, Gavin Shaddick and Stephen Walker	964KB
4/10	Quasi-Monte Carlo methods for computing flow in random porous media	I. G. Graham, F. Y. Kuo, D. Nuyens, R. Scheichl, and I. H. Sloan	688KB
3/10	Numerical estimation of coercivity constants for boundary integral operators in acoustic scattering	T. Betcke and E. A. Spence	1.57MB
2/10	Stability and error estimates for Filon-Clenshaw-Curtis rules for highly-oscillatory integrals	V. Dom´ınguez, I.G. Graham and V.P. Smyshlyaev	604KB
1/10	Resolution of sharp fronts in the presence of model error in variational data assimilation	M. A. Freitag, N. K. Nichols, C. J. Budd	606KB
12/09	Wave solutions for a quasilinear model of Field Dislocation Mechanics	Amit Acharya, Karsten Matthies and Johannes Zimmer	1.31MB
11/09	Spectra of Modular Random Graphs	Güler Ergün and Reimer Kühn	588KB
10/09	Parallel GeometricMultigrid for Global Weather Prediction	S.D. Buckeridge and R. Scheichl	393KB
09/09	Existence of dynamic phase transitions in a one-dimensional lattice model with piecewise quadratic interaction potential	Hartmut Schwetlick and Johannes Zimmer	1.25MB
08/09	Existence of subsonic heteroclinic waves for the Frenkel-Kontorova model with piecewise quadraticon-site potential	Carl-Friedrich Kreiner and Johannes Zimmer	971KB
07/09	Analysis of FETI methods for multiscale PDEs – Part II: Interface variation	C. Pechstein and R. Scheichl	1.10MB
06/09	Convergence analysis of planewave expansion methods for Schr ¨odinger operators with discontinuous periodic potentials	R. Norton and R. Scheichl	581KB
05/09	On an extension of the space of bounded deformations	M. Kruzik and J. Zimmer	996KB
04/09	On the bottom of the spectrum in a double-contrast periodic model	Natalia O. Babych	379.54KB
03/09	A new multiscale Finite Element method for high-contrast elliptic interface problems	C.-C. Chu, I. G. Graham and T.-Y. Hou	1.7MB
02/09	Bayesian latent variable modelling in studies of air pollution and health	Duncan Lee, Gavin Shaddick, Ruth Salway and Stephen Walker	1.43MB
01/09	Scaling Up through Domain Decomposition	C. Pechstein and R. Scheichl	1.07MB
20/08	A model of shape memory alloys accounting for plasticity	Martin Kruık and Johannes Zimmer	940KB
19/08	A note on time-dependent DiPerna-Majda measures	Martin Kruzık and Johannes Zimmer	926KB
18/08	Calculation of long time classical trajectories: algorithmic treatment and applications for molecular systems	Hartmut Schwetlick and Johannes Zimmer	1.2MB
17/08	Image-model coupling: application to an ionospheric storm	N.D. Smith, D. Pokhotelov, C.N. Mitchell, C.J. Budd	2.56MB
16/08	Image-model coupling: a simple information theoretic perspective for image sequences	N.D.Smith, C.N.Mitchell, C.J.Budd,	448KB
15/08	Small planar traveling waves in two-dimensional networks of coupled oscillators	Christian Pfrang and Karsten Matthies	986KB
14/08	A convergent adaptive method for elliptic eigenvalue problems and numerical experiments	S. Giani and I.G. Graham	1.83MB
13/08	Random networks with sublinear preferential attachment: Degree evolutions	Steffen Dereich and Peter Mörters	349KB
12/08	Energy Minimizing Coarse Spaces for Two-level Schwarz Methods for Multiscale PDEs	J. Van lent, R. Scheichl and I.G. Graham	6MB
11/08	The robustness of the emergent scaling property of random RC network models of complex materials	N. J. McCullen, D. P. Almond, C. J. Budd and G. W. Hunt	5MB
10/08	Minimal supporting subtrees for the free energy of polymers on disordered trees	Peter Mörters* and Marcel Ortgiese*	1MB
9/08	Modelling transformation paths of multiphase materials: The triple point of zirconia	Patrick W. Dondl, Kai Hormann and Johannes Zimmer	1MB
8/08	Gradient flows in asymmetric metric spaces	Isaac Vikram Chenchiah, Marc Oliver Rieger and Johannes Zimmer	936KB
7/08	A Bayesian moving average model for correlated count data	Duncan Lee, Ruth Salway, Gavin Shaddick and Stephen Walker	449KB
6/08	Boundary integral methods in high frequency scattering	Simon N. Chandler-Wilde and Ivan G. Graham	509KB
5/08	Moving mesh generation using the Parabolic Monge-Ampère equation	C. J. Budd and J. F. Williams	690KB
4/08	Maximum likelihood estimation for cooperative sequential adsorption	Mathew D. Penrose and Vadim Shcherbakov	532KB
3/08	Travelling wave solutions for the discrete sine-Gordon equation with nonlinear pair interaction	Carl-Friedrich Kreiner and Johannes Zimmer	1,019KB
2/08	Vibrating system containing a part with a large kinetic energy	Natalia Babych	699KB
1/08	Heteroclinic travelling waves for the lattice sine-Gordon equation with linear pair interaction	Carl-Friedrich Kreiner and Johannes Zimmer	994KB
16/07	Low and high frequency approximations to eigenvibrations in a medium with double contrasts	Natalia Babych and Yuri Golovaty	429KB
15/07	Re-entrant corner flows of PTT fluids in the Cartesian stress basis	J. D. Evans and D. N. Sibley	2MB
14/07	Asymptotic analysis of vibrating system containing stiff-heavy and flexible-light parts	Natalia Babych and Yuri Golovaty	475KB
13/07	Asymptotics of resonances in a thermoelastic model with light local mass perturbations	Natalia Babych and Johannes Zimmer	926KB
12/07	A Two Cities Theorem for the Parabolic Anderson Model	Wolfgang König, Hubert Lacoin, Peter Mörters* and Nadia Sidorova*	1MB
11/07	Condition Number Estimates for Combined Potential Boundary Integral Operators in Acoustic Scattering	Simon N. Chandler-Wilde, Ivan G. Graham, Stephen Langdon, and Marko Lindner	557KB
10/07	Weak and almost sure limits for the parabolic Anderson model with heavy tailed potentials	Remco van der Hofstad, Peter Mörters* and Nadia Sidorova*	1MB
9/07	Estimating exposure response functions using ambient pollution concentrations	Gavin Shaddick, Duncan Lee, James V. Zidek and Ruth Salway	524KB
8/07	Homogenization of spectral problems in bounded domains with doubly high contrasts	Natalia O. Babych, Ilia V. Kamotski and Valery P. Smyshlyaev	564KB
7/07	A Framework for Predicting Personal Exposures to Environmental Hazard	James V. Zidek, Gavin Shaddick, Jean Meloche, Chris Chatfield and Rick White	532KB
6/07	A convergent adaptive method for elliptic eigenvalue problems	Stefano Giani and Ivan Graham	677KB
5/07	Evolutionary problems in non-reflexive spaces	Martin Kruzik and Johannes Zimmer	1005KB
4/07	Coefficient-explicit Condition Number Bounds for Overlapping Additive Schwarz	Ivan G. Graham and Robert Scheichl	902KB
3/07	An introduction to random matrix theory	Güler Ergün	710KB
2/07	Separation of a large eigenvalue from the bulk of the spectrum	Güler Ergün	840KB
1/07	Smooth Boundary Based Optimisation Using Fixed Grid	Caroline S. Edwards, H. Alicia Kim and Christopher J. Budd	370KB
16/06	Optimal Panel-Clustering in the Presence of Anisotropic Mesh Refinement	Ivan G. Graham, Lars Grasedyck, Wolfgang Hackbusch and Stefan A. Sauter	560KB
15/06	On Models of Dispersion at Macroscopic Scales	Peter Grindrod	870KB
14/06	Robust Domain Decomposition Algorithms for Multiscale PDEs	I.G.Graham and R. Scheichl	505KB
13/06	A mechanical realisation of a symplectic numerical method with large step-size	Chris Budd, Steven Green and Giles Hunt	955KB
12/06	Systems Biology: unravelling complex networks	Peter Grindrod, Des Higham, Keith Vass and Alastair Spence	232KB
11/06	Domain Decomposition for Multiscale PDEs	I.G. Graham, P. Lechner and R. Scheichl	585KB
10/06	Exponential estimates in averaging and homogenisation	Karsten Matthies	940KB
9/06	Additive Schwarz and Aggregation-Based Coarsening for Elliptic Problems with Highly Variable Coefficients	R. Scheichl and E. Vainikko	722KB
8/06	An Investigation of the Validity of Topology Optimisation Methods	C. S. Edwards, H. Kim and C. J. Budd	682KB
7/06	Regularity properties, representation of solutions and spectral asymptotics of systems with multiplicities	Ilia Kamotski and Michael Ruzhansky	527KB
6/06	On Budaev and Bogy’s approach to diffraction by the 2D traction free elastic wedge	V. Kamotski, L. Ju. Fradkin, B. A. Samokish, V. A. Borovikov and V. M. Babich	685KB
5/06	On Landau theory and symmetric energy landscapes for phase transitions	Kai Hormann and Johannes Zimmer	1MB
4/06	Jog my shape memory—dynamics as a challenge in mathematical materials science	Johannes Zimmer	969KB
3/06	Localised modes due to defects in high contrast periodic media via homogenization	Ilia V. Kamotski and Valery P. Smyshlyaev	482KB
2/06	Exponential homogenization of linear second order elliptic problems with periodic coefficients	Vladimir Kamotski, Karsten Matthies and Valery Smyshlyaev	402KB
1/06	A hybrid numerical-asymptotic boundary integral method for high-frequency acoustic scattering	V. Dominguez, I. G. Graham and V. P. Smyshlyaev	670KB
16/05	An Asymmetric Arzelà-Ascoli Theorem	Julia Collins and Johannes Zimmer	908KB
15/05	Parabolic Monge-Ampère methods for blow-up problems in several space dimensions	C.J.Budd and J.F.Williams	1MB
14/05	Decay at infinity for parabolic equations	Oliver C. Schnürer and Hartmut Schwetlick	801KB
13/05	Uniqueness of travelling fronts for bistable nonlinear transport equations	Hartmut Schwetlick	829KB
12/05	Solitary waves for nonconves FPU lattices	Hartmut Schwetlick and Johannes Zimmer	878KB
11/05	Young measure flow as a model for damage	Marc Oliver Rieger and Johannes Zimmer	431KB
10/05	A Bayesian estimation of unfolded pitchfork bifurcation structure based upon experimental data	Sam Clarke and Peter Grindrod	436KB
9/05	The universality classes in the parabolic Anderson model	Remco van der Hofstad, Wolfgang König, Peter Mörters	1136KB (ps file)
8/05	Non-local homogenised limits for composite media with highly anisotropic periodic fibres	Kirill D. Cherednichenko, Valery P. Smyshlyaev and Vassili V. Zhikov	454KB
7/05	Anisotropic mesh refinement, the conditioning of Galerkin boundary element matrices and simple preconditioners	I.G. Graham and W. McLean	480 KB
6/05	Relaxation of three solenoidal wells and characterization of three phase H-measures	Mariapia Palombaro and Valery P. Smyshlyaev	463 KB
5/05	Diffraction by an elastic wedge with stress-free boundary: existence and uniqueness	Vladimir Kamotski and Gilles Lebeau	464 KB
4/05	Topology and geometry of nontrivial rank-one convex hulls for two-by-two matrices	Carl-Friedrich Kreiner and Johannes Zimmer	1217 KB
3/05	Evidence of emerging scaling in mechanical systems	Kevin D. Murphy, Giles W. Hunt and Darryl P. Almond	993 KB
2/05	On 2D Rayleigh-Taylor instabilities	Vladimir Kamotski and Gilles Lebeau	435 KB
1/05	The computation of conical diffraction coefficients in high-frequency acoustic wave scattering	B.D. Bonner, I.G. Graham and V.P. Smyshlyaev	608 KB

Popular Maths Preprints

Number	Title	Authors	Pdf size
P1/06	DNA Meets the SVD	Peter Grindrod, Desmond J. Higham,Gabriela Kalna, Alastair Spence, Zhivko Stoyanov and J. Keith Vass	526KB

Reports

Number	Title	Authors	Pdf size
R1/06	UK Bioinfomatics for functional genomics: watching the detectives	Peter Grindrod	183 KB

Published papers

Number	Title	Authors	Date	Journal
11/09	Spectra of Modular Random Graphs	Güler Ergün and Reimer Kühn	2009	J. Phys. A: Math. Theor. 42 (2009) 395001.
-	A Bayesian hierarchical model for photometric red shifts	Merrilee Hurn, Peter J. Green and Fahimah Al-Awadhi	May 2008	Journal of the Royal Statistical Society: Series C (Applied Statistics). Vol 57 Issue 4
15/07	Re-entrant corner flows of PTT fluids in the Cartesian stress basis	J. D. Evans and D. N. Sibley	2007	Journal of Non-Newtonian Fluid Mechanics ("Articles in Press" section)
14/07	Asymptotic analysis of vibrating system containing stiff-heavy and flexible-light parts	Natalia Babych and Yuri Golovaty	2008	Nonlinear Boundary Value Problems , Volume 18 (2008): 194–207.
11/07	Condition Number Estimates for Combined Potential Boundary Integral Operators in Acoustic Scattering	Simon N. Chandler-Wilde, Ivan G. Graham, Stephen Langdonand Marko Lindner	Oct 2007	Journal of Integral Equations and Applications
9/07	Estimating exposure response functions using ambient pollution concentrations	Gavin Shaddick, Duncan Lee, James V. Zidek and Ruth Salway	2008	Annals of Applied Statistics2008, Vol. 2, No. 4, 1249–1270 DOI: 10.1214/08-AOAS177
8/07	Homogenization of spectral problems in bounded domains with doubly high contrasts	Natalia O. Babych, Ilia V. Kamotski and Valery P. Smyshlyaev	Nov 2007	Networks and Heterogeneous Media 3, N: 3 (2008): 413–436.
7/07	A Framework for Predicting Personal Exposures to Environmental Hazard	James V. Zidek, Gavin Shaddick, Jean Meloche, Chris Chatfield and Rick White	September 2007	Environmental and Ecological Statistics, Volume 14, Number 4 / December, 2007 DOI 10.1007/s10651-007-0028-x Pages411-431
6/07	A convergent adaptive method for elliptic eigenvalues problems	Stefano Giani and Ivan Graham	July 2007	SIAM J Numerical Analysis
4/07	Coefficient-explicit Condition Number Bounds for Overlapping Additive Schwarz	Ivan G. Graham and Robert Scheichl	2008	Domain decomposition methods in science and engineering XVII, Vol. 60, pp 365-372, ISBN 978-3-540-75198-4
3/07	An introduction to random matrix theory	Güler Ergün		Encyclopedia of Complexity and Systems Science, section: Probability and Statistics in Complex Systems ? Entry 00289 444/444, Springer (2009)" ISBN: 978-0-387-75888-6
14/06	Robust Domain Decomposition Algorithms for Multiscale PDEs	I.G.Graham and R. Scheichl	2007	Numerical Methods for Partial Differential Equations, DOI 10.1002/num20254
11/06	Domain Decomposition for Multiscale PDEs	I.G. Graham, P. Lechner and R. Scheichl	2007	Numer. Math. DOI 10.1007/s00211-007-0074-1
10/06	Exponential estimates in averaging and homogenisation	Karsten Matthies	2006	A. Mielke, editor, Analysis, Modeling, and Simulation of Multiscale Problems. Springer, 1-19.
9/06	Additive Schwarz and Aggregation-Based Coarsening for Elliptic Problems with Highly Variable Coefficients	R. Scheichl and E. Vainikko	Sept 2007	Computing Volume 80, Issue 4, Pages: 319 - 343 ISSN:0010-485X
7/06	Regularity properties, representation of solutions and spectral asymptotics of systems with multiplicities	Ilia Kamotski and Michael Ruzhansky	January 2007	Communications in Partial Differential Equations, Volume 32, Issue 1 , pages 1 - 35
6/06	On Budaev and Bogy’s approach to diffraction by the 2D traction free elastic wedge	V. Kamotski, L. Ju. Fradkin, B. A. Samokish, V. A. Borovikov and V. M. Babich	April 2006	Online only on arXiv:math-ph/0604011v1
5/06	On Landau theory and symmetric energy landscapes for phase transitions	Kai Hormann and Johannes Zimmer	June 2007	Journal of the Mechanics and Physics of Solids, Volume 55, No. 7, p. 1385-1409
4/06	Jog my shape memory—dynamics as a challenge in mathematical materials science	Johannes Zimmer	Feb. 2006	Philosophical Transactions of the Royal Society, Volume 364, p. 3285-3300
3/06	Localised modes due to defects in high contrast periodic media via homogenization	Ilia V. Kamotski and Valery P. Smyshlyaev	Nov 2007	Online only. See arXiv:0711.2405v1
2/06	Exponential homogenization of linear second order elliptic problems with periodic coefficients	Vladimir Kamotski, Karsten Matthies and Valery Smyshlyaev	2007	SIAM J. Math. Anal. 38 1565-1587.
1/06	A hybrid numerical-asymptotic boundary integral method for high-frequency acoustic scattering	V. Dominguez, I. G. Graham and V. P. Smyshlyaev	2007	Numer. Math. 106, 471-510. DOI: 10.1007/s00211-007-0071-4.
16/05	An Asymmetric Arzelà-Ascoli Theorem	Julia Collins and Johannes Zimmer	2007	Topology and its Applications, Volume 154, No. 11, p. 2312-2322
12/05	Solitary waves for nonconves FPU lattices	Hartmut Schwetlick and Johannes Zimmer	2007	Journal of Nonlinear Science 17, No. 1, p. 1-12
11/05	Young measure flow as a model for damage	Marc Oliver Rieger and Johannes Zimmer		Zeitschrift für Angewandte Mathematik und Physik (ZAMP)
10/05	A Bayesian estimation of unfolded pitchfork bifurcation structure based upon experimental data	Sam Clarke and Peter Grindrod	May 2007	IMA Journal of Applied Maths, Vol. 72, Nber 4, pp. 395-404
9/05	The universality classes in the parabolic Anderson model	Remco van der Hofstad, Wolfgang König, Peter Mörters	2006	Communications in Mathematical Physics 267, 307-353
8/05	Non-local homogenised limits for composite media with highly anisotropic periodic fibres	Kirill D. Cherednichenko, Valery P. Smyshlyaev and Vassili V. Zhikov	Feb 2006	Proceedings Section A: Mathematics - Royal Society of Edinburgh, Volume 136, Number 1, pp. 87-114 (28)
7/05	Anisotropic mesh refinement, the conditioning of Galerkin boundary element matrices and simple preconditioners	I.G. Graham and W. McLean	2006	SIAM J. Numer. Anal. 44, 1487-1513.
5/05	Diffraction by an elastic wedge with stress-free boundary: existence and uniqueness	Vladimir Kamotski and Gilles Lebeau	Jan 2006	Royal Society of London Proceedings Series A, vol. 462, Issue 2065, p.289-317
4/05	Topology and geometry of nontrivial rank-one convex hulls for two-by-two matrices	Carl-Friedrich Kreiner and Johannes Zimmer	2006	ESAIM Control, Optimisation and Calculus of Variations 12, No. 2, 253-270
3/05	Evidence of emerging scaling in mechanical systems	Kevin D. Murphy, Giles W. Hunt and Darryl P. Almond	22/21 July–1 August 2006	Philosophical Magazine, volume 86, number 21-22, pages 3325--3338, ISSN 1478-6435
2/05	On 2D Rayleigh-Taylor instabilities	Vladimir Kamotski and Gilles Lebeau	2004	Journées équations aux dérivées partielles, Art. No. 7, 10 p.

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