Items where Division is "University of Nottingham UK Campus > Faculty of Science > School of Mathematical Sciences" and Year is [pin missing: value2]
Number of items at this level: 212. O'Dea, Reuben D. and Nelson, Martin, R. and El Haj, A. and Waters, Sarah L. and Byrne, Helen M. (2014) A multiscale analysis of nutrient transport and biological tissue growth in vitro. Mathematical Medicine and Biology . ISSN 1477-8599 Hirt, Bartholomäus V. and Wattis, Jonathan A.D. and Preston, Simon P. (2014) Modelling the regulation of telomere length: the effects of telomerase and G-quadruplex stabilising drugs. Journal of Mathematical Biology, 68 (6). pp. 1521-1552. ISSN 0303-6812 Meijer, Hil G.E. and Coombes, Stephen (2014) Travelling waves in a neural field model with refractoriness. Journal of Mathematical Biology, 68 (5). pp. 1249-1268. ISSN 0303-6812 Tsagris, Michail and Beneki, Christina and Hassani, Hossein (2014) On the folded normal distribution. Mathematics, 2 (1). pp. 12-28. ISSN 2227-7390 O'Neill, Philip D. and Kypraios, Theodore (2014) Bayesian model choice via mixture distributions with application to epidemics and population process models. Working Paper. University of Nottingham. (Unpublished) Rankin, James and Avitabile, Daniele and Baladron, Javier and Faye, Gregory and Lloyd, David J.B. (2014) Continuation of localised coherent structures in nonlocal neural field equations. SIAM Journal on Scientific Computing, 36 (1). B70-B93. ISSN 1064-8275 Nicks, Rachel and Parry, Gareth P. (2014) Geometrical issues in the continuum mechanics of solid crystals. Miskolc Mathematical Notes . ISSN 1787-2405 (In Press) Nicks, Rachel and Parry, Gareth P. (2014) Group elastic symmetries common to continuum and discrete defective crystals. Journal of Elasticity, 15 (2). pp. 131-156. ISSN 0374-3535 Draelants, Delphine and Avitabile, Daniele and Vanroose, Wim (2014) Localised auxin peaks in concentration-based transport models for plants. Proceedings of the Royal Society B: Biological Sciences . ISSN 0962-8452 (Submitted) Draelants, Delphine and Avitabile, Daniele and Vanroose, Wim (2014) Localised auxin peaks in concentration-based transport models for plants. Proceedings of the Royal Society B: Biological Sciences . ISSN 0962-8452 (Submitted) van Gennip, Yves and Guillen, Nestor and Osting, Braxton and Bertozzi, Andrea L. (2014) Mean curvature, threshold dynamics, and phase field theory on finite graphs. Milan Journal of Mathematics, 82 (1). pp. 3-65. ISSN 1424-9286 Avitabile, Daniele and Hoyle, Rebecca and Samaey, Giovanni (2014) Noise reduction in coarse bifurcation analysis of stochastic agent-based models: an example of consumer lock-in. SIAM Journal on Applied Dynamical System . ISSN 1536-0040 (Submitted) Avitabile, Daniele and Hoyle, Rebecca and Samaey, Giovanni (2014) Noise reduction in coarse bifurcation analysis of stochastic agent-based models: an example of consumer lock-in. SIAM Journal on Applied Dynamical System . ISSN 1536-0040 (Submitted) Avitabile, Daniele and Hoyle, Rebecca and Samaey, Giovanni (2014) Noise reduction in coarse bifurcation analysis of stochastic agent-based models: an example of consumer lock-in. SIAM Journal on Applied Dynamical System . ISSN 1536-0040 (In Press) Diamantis, Nikolaos (2014) Non-critical values and values of derivatives of L-functions. Working Paper. University of Nottingham. (Unpublished) Avitabile, Daniele and Schmidt, Helmut (2014) Snakes and ladders in an inhomogeneous neural field model. Physica D: Nonlinear Phenomena . ISSN 0167-2789 (Submitted) Avitabile, Daniele and Schmidt, Helmut (2014) Snakes and ladders in an inhomogeneous neural field model. Physica D: Nonlinear Phenomena . ISSN 0167-2789 (In Press) Penn, Alexandra S. and Knight, Christopher J.K. and Lloyd, David J.B. and Avitabile, Daniele and Kok, Kasper and Schiller, Frank and Woodward, Amy and Druckman, Angela and Basson, Lauren (2013) Participatory development and analysis of a fuzzy cognitive map of the establishment of a bio-based economy in the Humber Region. PLoS ONE, 8 (11). e78319. ISSN 1932-6203 Creagh, Stephen C. and Hamdin, Hanya Ben and Tanner, Gregor (2013) In–out decomposition of boundary integral equations. Journalof Physics A: Mathematical and Theoretical, 46 (43). 435203/1-435203/32. ISSN 1751-8113 Aaronson, Benjamin and Lo Franco, Rosario and Compagno, Giuseppe and Adesso, Gerardo (2013) Hierarchy and dynamics of trace distance correlations. New Journal of Physics, 15 . 093022/1-093022/18. ISSN 1367-2630 Kume, A. and Preston, S.P. and Wood, Andrew T.A. (2013) Saddlepoint approximations for the normalizing constant of Fisher–Bingham distributions on products of spheres and Stiefel manifolds. Biometrika, 100 (4). pp. 971-984. ISSN 0006-3444 Croisier, Huguette and Tan, Xiahui and Perez-Zoghbi, Jose F. and Sanderson, Michael J. and Sneyd, James and Brook, Bindi S. (2013) Activation of store-operated calcium entry in airway smooth muscle cells: insight from a mathematical model. PLoS ONE, 8 (7). e69598/1-e69598/11. ISSN 1932-6203 Martin-Martinez, Eduado and Dragan, Andrzej and Mann, Robert B. and Fuentes, Ivette (2013) Berry phase quantum thermometer. New Journal of Physics, 15 . 053036/1-053036/11. ISSN 1367-2630 Piano, Samanta and Adesso, Gerardo (2013) Genuine tripartite entanglement and nonlocality in Bose-Einstein condensates by collective atomic recoil. Entropy, 15 (5). pp. 1875-1886. ISSN 1099-4300 O'Dea, Reuben D. and Crofts, Jonathan J. and Kaiser, Marcus (2013) Spreading dynamics on spatially constrained complex brain networks. Journal of the Royal Society Interface, 10 (81). ISSN 1742-5689 Zachariou, Margarita and Alexander, Stephen P.H. and Coombes, Stephen and Christodoulou, Chris (2013) A biophysical model of endocannabinoid-mediated short term depression in hippocampal inhibition. PLoS ONE, 8 (3). e58296/1-e58296/23. ISSN 1932-6203 Pickering, Andrew and Gordoa, Pilar R. and Wattis, Jonathan A.D. (2013) Behaviour of the extended Volterra lattice. Communications in Nonlinear Science and Numerical Simulation, 19 (3). pp. 589-600. ISSN 1007-5704 Taxidis, Jiannis and Mizuseki, Kenji and Mason, Robert and Owen, Markus R. (2013) Influence of slow oscillation on hippocampal activity and ripples through cortico-hippocampal synaptic interactions, analyzed by a cortical-CA3-CA1 network model. Frontiers in Computational Neuroscience, 7 (February). 19/1-19/19. ISSN 1662-5188 Lin, Kevin K. and Wedgwood, Kyle C.A. and Coombes, Stephen and Young, Lai-Sang (2013) Limitations of perturbative techniques in the analysis of rhythms and oscillations. Journal of Mathematical Biology, 66 (1-2). pp. 139-161. ISSN 0303-6812 Lam, C.K. and Tan, M.T. and Cox, Stephen M. and Yeo, K.S. (2013) Class D amplifier power stage with PWM feedback loop. IEEE Transactions on Power Electronics, 28 (8). pp. 3870-3881. ISSN 0885-8993 Cox, Stephen M. and Yu, J. and Goh, W.L. and Tan, M.T. (2013) Intrinsic distortion of a fully differential BD-modulated Class-D amplifier with analog feedback. IEEE Transactions on Circuits and Systems I: Regular Papers, 60 (1). pp. 63-73. ISSN 1549-8328 Diamantis, Nikolaos and O'Sullivan, Cormac (2013) Kernels for products of L-functions. Algebra and Number Theory, 7 (8). pp. 1883-1917. ISSN 1937-0652 Bringmann, Kathrin and Diamantis, Nikolaos and Raum, Martin (2013) Mock period functions, sesquiharmonic Maass forms, and non-critical values of L-functions. Advances in Mathematics, 233 (1). pp. 115-134. ISSN 0001-8708 Wedgwood, Kyle C.A. and Lin, Kevin K. and Thul, Ruediger and Coombes, Stephen (2013) Phase-amplitude descriptions of neural oscillator models. Journal of Mathematical Neuroscience, 3 (2). ISSN 2190-8567 Bowles, P. and Guţă, M. and Adesso, Gerardo (2012) Asymptotically optimal quantum channel reversal for qudit ensembles and multimode Gaussian states. New Journal of Physics, 14 . 113041/1-113041/17. ISSN 1367-2630 Avitabile, Daniele and Desroches, Mathieu and Rodrigues, Serafim (2012) On the numerical continuation of isolas of equilibria. International Journal of Bifurcation and Chaos, 22 (11). 1250277/1- 1250277/12. ISSN 0218-1274 (In Press) Asiri, Asim (2012) Further results on common zeros of the solutions of two differential equations. Journal of Inequalities and Applications, 2012 (222). ISSN 1025-5834 Borrelli, Massimo and Sabín, Carlos and Adesso, Gerardo and Plastina, Francesco and Maniscalco, Sabrina (2012) Dynamics of atom–atom correlations in the Fermi problem. New Journal of Physics, 14 . 103010/14PP)-103010/14. ISSN 1367-2630 Guţă, Madalin and Kypraios, Theodore and Dryden, Ian (2012) Rank-based model selection for multiple ions quantum tomography. New Journal of Physics, 14 (105002). ISSN 1367-2630 Hlinka, Jaroslav and Coombes, Stephen (2012) Using computational models to relate structural and functional brain connectivity. European Journal of Neuroscience, 36 (2). pp. 2137-2145. ISSN 0953-816X Cliffe, Andrew and Hall, Edward and Houston, Paul (2012) hp-Adaptive discontinuous Galerkin methods for bifurcation phenomena in open flows. Computers and Mathematics with Applications . ISSN 0898-1221 (Submitted) Hirt, Bartholomäus V. and Wattis, Jonathan A.D. and Preston, Simon P. and Laughton, Charles A. (2012) The effects of a telomere destabilising agent on cancer cell-cycle dynamics - integrated modelling and experiments. Journal of Theoretical Biology, 295 . pp. 9-22. ISSN 0022-5193 Hill, Antony A. and Malashetty, M.S. (2012) An operative method to obtain sharp nonlinear stability for systems with spatially dependent coefficients. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 468 (2138). pp. 323-336. ISSN 1471-2946 Cliffe, Andrew and Hall, Edward and Houston, Paul and Phipps, Eric T. and Salinger, Andrew G. (2012) Adaptivity and a posteriori error control for bifurcation problems III: incompressible fluid flow in open systems with O(2) symmetry. Journal of Scientific Computing, 52 (2). pp. 153-179. ISSN 0885-7474 (Submitted) Congreve, Scott and Houston, Paul and Süli, Endre and Wihler, Thomas P. (2012) Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems II: strongly monotone quasi-Newtonian flows. IMA Journal of Numerical Analysis . ISSN 0272-4979 (Submitted) Giani, Stefano and Grubišić, Luka and Ovall, Jeffrey (2012) Error control for hp-adaptive approximations of semi-definite eigenvalue problems. Linear Algebra and its Applications . ISSN 0024-3795 (Submitted) Bruggeman, Roelof and Diamantis, Nikolaos (2012) Higher-order Maass forms. Algebra and Number Theory, 6 (7). pp. 1409-1458. ISSN 1937-0652 Coombes, Stephen and Schmidt, Helmut and Bojak, Ingo (2012) Interface dynamics in planar neural field models. Journal of Mathematical Neuroscience . ISSN 2190-8567 (In Press) Nicks, Rachel and Parry, Gareth P. (2012) On symmetries of crystals with defects related to a class of solvable groups (S1). Mathematics and Mechanics of Solids, 17 (6). pp. 631-651. ISSN 1081-2865 Parry, Gareth P. and Nicks, Rachel (2012) On symmetries of crystals with defects related to a class of solvable groups (S2). Mathematical Methods in the Applied Sciences, 35 (15). pp. 1741-1755. ISSN 0170-4214 Williams, J. and Hibberd, S. and Power, H. and Riley, D. S. (2012) On the effects of mass and momentum transfer from droplets impacting on steady two-dimensional rimming flow in a horizontal cylinder. Physics of Fluids, 24 . 053103/1-053103/27. ISSN 1070-6631 Thul, Ruediger and Coombes, Stephen and Bootman, Martin D. (2012) Persistence of pro-arrhythmic spatio-temporal calcium patterns in atrial myocytes: a computational study of ping waves. Frontiers in Physiology, 3 . p. 279. ISSN 1664-042X Parry, Gareth P. and Sigrist, Rachel (2012) Reconciliation of local and global symmetries for a class of crystals with defects. Journal of Elasticity, 107 (1). pp. 81-104. ISSN 0374-3535 Thul, Ruediger and Coombes, Stephen and Roderick, H. Llewelyn and Bootman, Martin D. (2012) Subcellular calcium dynamics in a whole-cell model of an atrial myocyte. Proceedings of the National Academy of Sciences, 109 (6). pp. 2150-2155. ISSN 1091-6490 Yu, J. and Tan, M.T. and Cox, Stephen M. and Goh, W.L. (2012) Time-domain analysis of intermodulation distortion of closed-loop Class D amplifiers. IEEE Transactions on Power Electronics, 27 (5). pp. 2453-2461. ISSN 0885-8993 Antonietti, Paola F. and Giani, Stefano and Houston, Paul (2012) hp-Version composite discontinuous Galerkin methods for elliptic problems on complicated domains. SIAM Journal on Scientific Computing . ISSN 1064-8275 (Submitted) Feinstein, J. F. and Mortini, Raymond (2011) Partial regularity and t-analytic sets for Banach function algebras. Mathematische Zeitschrift, 271 (1-2). pp. 139-155. ISSN 0025-5874 Tsagris, Michail and Preston, Simon and Wood, Andrew T.A. (2011) A data-based power transformation for compositional data. In: CoDaWork'11: 4th international workshop on Compositional Data Analysis, 10-13 May 2011, Girona, Spain. Cox, Stephen M. and Tan, M.T. and Yu, J. (2011) A second-order class-D audio amplifier. SIAM Journal on Applied Mathematics, 71 (1). pp. 270-287. ISSN 0036-1399 Giani, Stefano (2011) An a posteriori error estimator for hp-adaptive discontinuous Galerkin methods for computing band gaps in photonic crystals. Journal of Computational and Applied Mathematics . ISSN 0377-0427 (Submitted) Giani, Stefano and Hall, Edward (2011) An a posteriori error estimator for hp-adaptive discontinuous Galerkin methods for elliptic eigenvalue problems. Mathematical Models and Methods in Applied Sciences (M3AS), 22 (10). p. 1299001. ISSN 0218-2025 (Submitted) Giani, Stefano and Houston, Paul (2011) Anisotropic hp-adaptive discontinuous Galerkin finite element methods for compressible fluid flows. International Journal of Numerical Analysis and Modeling . ISSN 1705-5105 (Submitted) Giani, Stefano and Grubišić, Luka and Ovall, Jeffrey (2011) Benchmark results for testing adaptive finite element eigenvalue procedures. Applied Numerical Mathematics . ISSN 0168-9274 (Submitted) Fink, Martin and Niederer, Steven A. and Cherry, Elizabeth M. and Fenton, Flavio H. and Koivumäki, Jussi T. and Seemann, Gunnar and Thul, Ruediger and Zhang, Henggui and Sachse, Frank B. and Beard, Dan and Crampin, Edmund J. and Smith, Nicolas P. (2011) Cardiac cell modelling: observations from the heart of the cardiac physiome project. Progress in Biophysics and Molecular Biology, 104 (1-3). pp. 2-21. ISSN 0079-6107 Houston, Paul and Wihler, Thomas P. (2011) Discontinuous Galerkin methods for problems with Dirac delta source. ESAIM: Mathematical Modelling and Numerical Analysis . ISSN 0764-583X (Submitted) Coombes, Stephen and Thul, Ruediger and Laudanski, Jonathan and Palmer, Alan and Sumner, Chris (2011) Neuronal spike-train responses in the presence of threshold noise. Frontiers in Life Science, 5 (3-4). pp. 91-105. ISSN 2155-3769 (In Press) Coombes, Stephen and Thul, Ruediger and Wedgwood, Kyle (2011) Nonsmooth dynamics in spiking neuron models. Physica D . ISSN 0167-2789 (In Press) Antonietti, Paola F. and Houston, Paul (2011) Preconditioning high-order discontinuous Galerkin discretizations of elliptic problems. In: 20th International Conference on Domain Decomposition Methods, 7-11 Feb 2011, UC San Diego, California, USA. (Submitted) Coombes, Stephen and Laing, Carlo (2011) Pulsating fronts in periodically modulated neural field models. Physical Review E . ISSN 1539-3755 (In Press) Wilkinson, Richard D. and Vrettas, Michael and Cornford, Dan and Oakley, Jeremy E. (2011) Quantifying simulator discrepancy in discrete-time dynamical simulators. Journal of Agricultural, Biological and Environmental Statistics . ISSN 1085-7117 (Submitted) Congreve, Scott and Houston, Paul and Wihler, Thomas P. (2011) Two-grid hp-version DGFEMs for strongly monotone second-order quasilinear elliptic PDEs. Proceedings in Applied Mathematics and Mechanics, 11 (1). pp. 3-6. ISSN 1617-7061 Cliffe, Andrew and Hall, Edward and Houston, Paul and Phipps, Eric T. and Salinger, Andrew G. (2010) Adaptivity and a posteriori error control for bifurcation problems I: the Bratu problem. Communications in Computational Physics, 8 (4). pp. 845-865. ISSN 1815-2406 (Submitted) Cliffe, Andrew and Hall, Edward and Houston, Paul and Phipps, Eric T. and Salinger, Andrew G. (2010) Adaptivity and a posteriori error control for bifurcation problems II: Incompressible fluid flow in open systems with Z_2 symmetry. Journal of Scientific Computing . ISSN 0885-7474 (Submitted) Milne, Andrew and Cliffe, Andrew and Holton, David and Houston, Paul and Jackson, C. Peter and Joyce, Steve (2010) A new method for conditioning stochastic groundwater flow models in fractured media. Advances in Water Resources . ISSN 0309-1708 (Submitted) Dales, H.G. and Feinstein, J.F. (2010) Normed algebras of differentiable functions on compact plane sets. Indian Journal of Pure and Applied Mathematics, 41 (1). pp. 153-187. ISSN 0019-5588 O'Dea, Reuben D. and Waters, Sarah L. and Byrne, Helen M. (2010) A multiphase model for tissue construct growth in a perfusion bioreactor. Mathematical Medicine and Biology, 27 (2). pp. 95-127. ISSN 1477-8599 Diamantis, Nikolaos and Deitmar, Anton (2010) A new multiple Dirichlet series induced by a higher-order form. Acta Arithmetica, 142 (4). pp. 303-309. ISSN 0065-1036 Ball, Frank G. and Sirl, David J. (2010) An SIR epidemic model on a population with random network and household structure and several types of individuals. Advances in Applied Probability . ISSN 0001-8678 (Submitted) Ball, Frank G. and Sirl, David J. and Trapman, Pieter (2010) Analysis of a stochastic SIR epidemic on a random network incorporating household structure. Mathematical Biosciences, 224 (2). pp. 53-73. ISSN 0025-5564 Laudanski, Jonathan and Sumner, Chris and Coombes, Stephen (2010) Calcium window currents, periodic forcing and chaos: understanding single neuron response with a discontinuous one-dimensional map. Physical Review E, 82 (1). e011924. ISSN 1539-3755 Giani, Stefano (2010) Convergent adaptive finite element methods for photonic crystal applications. Mathematical Models and Methods in Applied Sciences (M3AS) . ISSN 0218-2025 (Submitted) Hlinka, Jaroslav and Coombes, Stephen (2010) Depolarization induced suppression of excitation and the emergence of ultra-slow rhythms in neural networks. Physical Review Letters . ISSN 0031-9007 (In Press) Parry, Gareth P. (2010) Elastic symmetries of defective crystals. Joural of Elasticity, 101 (1). pp. 101-120. ISSN 0374-3535 Giani, Stefano and Houston, Paul (2010) High-order hp-adaptive discontinuous Galerkin finite element methods for compressible fluid flows. In: ADIGMA - a European initiative on the development of adaptive higher-order variational methods for aerospace applications. Notes on numerical fluid mechanics and multidisciplinary design (113). Springer, Berlin, pp. 399-411. ISBN 978-3-642-03706-1 Ball, Frank G. and Britton, Tom and Sirl, David J. (2010) Household epidemic models with varying infection response. Journal of Mathematical Biology . ISSN 0303-6812 (Submitted) Ball, Frank G. and Britton, Tom and Sirl, David J. (2010) Household epidemic models with varying infection response. Journal of Mathematical Biology . ISSN 0303-6812 (Submitted) Coombes, Stephen and Schmidt, Helmut (2010) Neural fields with sigmoidal firing rates: approximate solutions. Discrete and Continuous Dynamical Systems. Series S . ISSN 1937-1632 (Submitted) Stewart, Peter S. and Heil, Matthias and Waters, Sarah L. and Jensen, Oliver E. (2010) Sloshing and slamming oscillations in collapsible channel flow. Journal of Fluid Mechanics, 662 . pp. 288-319. ISSN 0022-1120 (Submitted) Thul, Ruediger and Coombes, Stephen (2010) Understanding cardiac alternans: a piecewise linear modeling framework. Chaos, 20 . 045102. ISSN 1054-1500 Coombes, Stephen (2009) Large-scale neural dynamics: simple and complex. NeuroImage . ISSN 1053-8119 (In Press) Houston, Paul and Wihler, Thomas P. (2009) Second-order elliptic PDE with discontinuous boundary data. IMA Journal of Numerical Analysis . ISSN 0272-4979 (Submitted) Antonietti, Paola F. and Houston, Paul (2009) A class of domain decomposition preconditioners for hp-discontinuous Galerkin finite element methods. Journal of Scientific Computing . ISSN 0885-7474 (Submitted) Antonietti, Paola F. and Houston, Paul (2009) An hr-adaptive discontinuous Galerkin method for advection-diffusion problems. Communications to SIMAI Congress, 3 . ISSN 1827-9015 (Submitted) Deitmar, Anton and Diamantis, Nikolaos (2009) Automorphic forms of higher order. Journal of the London Mathematical Society, 80 (1). pp. 18-34. ISSN 0024-6107 Zhu, Liang and Giani, Stefano and Houston, Paul and Schoetzau, Dominik (2009) Energy norm a-posteriori error estimation for hp-adaptive discontinuous Galerkin methods for elliptic problems in three dimensions. Mathematical Models and Methods in Applied Sciences (M3AS) . ISSN 0218-2025 (Submitted) Hartmann, Ralf and Houston, Paul (2009) Error estimation and adaptive mesh refinement for aerodynamic flows. In: Proceedings of the 36THCFD/Adigma course on HP-adaptive and HP-multigrid methods. von Karman Institute for Fluid Dynamics, Rhode Saint Genèse, Belgium. ISBN 978-2-930389-98-2 (In Press) Chini, Gregory P. and Cox, Stephen M. (2009) Large Rayleigh number thermal convection: heat flux predictions and strongly nonlinear solutions. Physics of Fluids, 21 . 083603-1. ISSN 1070-6631 Svensson, Carl-Magnus and Coombes, Stephen (2009) Mode locking in a spatially extended neuron model: active soma and compartmental tree. International Journal of Bifurcation and Chaos . ISSN 0218-1274 (In Press) Cox, Stephen M. and Clare, Jon C. (2009) Nonlinear development of matrix-converter instabilities. Journal of Engineering Mathematics . ISSN 0022-0833 Georgoulis, Emmanuil H. and Hall, Edward and Melenk, Jens Markus (2009) On the suboptimality of the p-version interior penalty discontinuous Galerkin method. Journal of Scientific Computing . ISSN 0885-7474 (In Press) Parry, Gareth P. (2009) Rotational symmetries of crystals with defects. Journal of Elasticity, 94 (2). pp. 147-166. ISSN 0374-3535 Thul, Ruediger and Coombes, Stephen and Smith, G.D. (2009) Sensitisation waves in a bidomain fire-diffuse-fire model of intracellular Ca²⁺ dynamics. Physica D, 238 . pp. 2142-2152. ISSN 0167-2789 Ball, Frank G. and Sirl, David J. and Trapman, Pieter (2009) Threshold behaviour and final outcome of an epidemic on a random network with household structure. Advances in Applied Probability, 41 (3). pp. 765-796. Thul, Ruediger and Thurley, K. and Falcke, Martin (2009) Towards a predictive model of Ca²⁺ puffs. Chaos, 19 . 037108. ISSN 1054-1500 Cox, Stephen M. and Creagh, Stephen C. (2009) Voltage and current spectra for matrix power converters. Siam Journal on Applied Mathematics, 69 (5). pp. 1415-1437. ISSN 1415-1437 O'Dea, Reuben D. and Waters, Sarah L. and Byrne, Helen M. (2008) A two-fluid model for tissue growth within a dynamic flow environment. European Journal of Applied Mathematics, 19 . pp. 607-634. ISSN 0956-7925 Coombes, Stephen (2008) Neuronal networks with gap junctions: A study of piece-wise linear planar neuron models. SIAM Journal on Applied Dynamical Systems . (In Press) Houston, Paul and Schoetzau, Dominik and Wei, Xiaoxi (2008) A Mixed Discontinuous Galerkin Method for Incompressible Magnetohydrodynamics. Journal of Scientific Computing . (Submitted) Cliffe, Andrew and Hall, Edward and Houston, Paul (2008) Adaptive discontinuous Galerkin methods for eigenvalue problems arising in incompressible fluid flows. SIAM Journal on Scientific Computing . ISSN 1064-8275 (Submitted) Georgoulis, Emmanuil H. and Houston, Paul and Virtanen, Juha (2008) An A Posteriori Error Indicator for Discontinuous Galerkin Approximations of Fourth Order Elliptic Problems. IMA Journal of Numerical Analysis . (Submitted) Czogiel, Irina and Dryden, Ian L. and Brignell, Christopher J. (2008) Bayesian alignment of continuous molecular shapes using random fields. .. . (Submitted) Coombes, Stephen and Laing, Carlo (2008) Delays in activity based neural networks. Philosophical Transactions of the Royal Society A . ISSN 1364-503X (In Press) Schamberg, Sabine and Houston, Paul and Monk, Nick A.M. and Owen, Markus R. (2008) Modelling and analysis of planar cell polarity. Bulletin of Mathematical Biology . ISSN 0092-8240 (Submitted) Owen, Markus and Laing, Carlo and Coombes, Stephen (2007) Bumps and rings in a two-dimensional neural field: splitting and rotational instabilities. New Journal of Physics, 9 (378). (Submitted) Coombes, Stephen and Venkov, Nikola and Shiau, LieJune and Bojak, Ingo and Liley, David and Laing, Carlo (2007) Modeling electrocortical activity through improved local approximations of integral neural field equations. Physical Review E, 76 . 051901-051908. (Submitted) Antonietti, Paola F. and Ayuso, Blanca (2007) Two-Level Schwarz Preconditioners for Super Penalty Discontinuous Galerkin Methods. Communications in Computational Physics . (Submitted) Thul, Ruediger and Smith, Gregory and Coombes, Stephen (2007) A bidomain threshold model of propagating calcium waves. Journal of Mathematical Biology . Venkov, Nikola Atanasov and Coombes, Stephen and Matthews, Paul C (2007) Dynamic instabilities in scalar neural field equations with space-dependent delays. Coombes, Stephen and Timofeeva, Yulia and Svennson, Carl-Magnus and Lord, Gabriel and Josic, Kresimir and Cox, Steven J. and Colbert, Costa (2007) Branching dendrites with resonant membrane: a "sum-over-trips" approach. Biological Cybernetics, 97 (2). pp. 137-149. ISSN 0340-1200 Coombes, Stephen and Owen, Markus (2007) Exotic dynamics in a firing rate model of neural tissue with threshold accommodation. Vikhansky, A. and Cox, Stephen M. (2007) Conditional moment closure for chemical reactions in laminar chaotic flows. AIChE Journal, 53 (1). pp. 19-27. Butt, Imran A and Wattis, Jonathan AD (2007) Asymptotic analysis of combined breather-kink modes in a Fermi-Pasta-Ulam chain. Physica D, 231 . pp. 165-179. Thul, Ruediger and Falcke, Martin (2007) Building oscillations bottom up: elemental time scales of intracellular calcium dynamics. In: Analysis and control of complex nonlinear processes in physics, chemistry and biology. World Scientific lecture notes in complex systems (5). World Scientific, River Edge, NJ, pp. 293-324. ISBN 9789812705839 Thul, Ruediger and Bellamy, Tom and Roderick, Llewelyn and Bootman, Martin and Coombes, Stephen (2007) Calcium Oscillations. In: Cellular Oscillatory Mechanisms. Springer. (In Press) Butt, Imran A and Wattis, Jonathan AD (2007) Discrete breathers in a two-dimensional hexagonal Fermi-Pasta-Ulam lattice. J Phys A Theor Gen, 40 . pp. 1239-1264. van Leeuwen, Ingeborg M. M. and Byrne, Helen M and Jensen, Oliver E. and King, John R. (2007) Elucidating the interactions between the adhesive and transcriptioanl functions of beta-catenin in normal and cancerous cells. Journal of Theoretical Biology . (In Press) King, Andrew A. and Cummings, Linda J. and Naire, Shailesh and Jensen, Oliver E. (2007) Liquid film dynamics in horizontal and tilted tubes: dry spots and sliding drops. Physics of Fluids . (In Press) Cox, Stephen M. and Finn, Matthew D. (2007) Two-dimensional Stokes flow driven by elliptical paddles. Physics of Fluids, 19 (11). 113102-1-113102-12. ISSN 1070-6631 Cox, Stephen M. (2006) Persistent localized states for a chaotically mixed bistable reaction. Physical Review E, 74 (5). 056206-1. Zachariou, Margarita and Dissanayake, Dilshani and Owen, Markus and Mason, Rob and Coombes, Stephen (2006) The Role of Cannabinoids in the Neurobiology of Sensory Gating: A firing rate model study. Coombes, Stephen and Doiron, Brent and Josic, Kresimir and Shea-Brown, Eric (2006) Toward blueprints for network architecture, biophysical dynamics, and signal transduction. Chow, Carson and Coombes, Stephen (2006) Existence and wandering of bumps in a spiking neural network model. Timofeeva, Yulia and Lord, Gabriel and Coombes, Stephen (2006) Spatio-temporal filtering properties of a dendritic cable with active spines: a modeling study in the spike-diffuse-spike framework. (Unpublished) Houston, Paul and Suli, Endre and Wihler, Thomas P. (2006) A Posteriori Error Analysis of hp-Version Discontinuous Galerkin Finite Element Methods for Second-Order Quasilinear Elliptic Problems. Cox, Stephen M. and Gottwald, G. A. (2006) A bistable reaction-diffusion system in a stretching flow. Physica D, 216 (2). pp. 307-318. Houston, Paul and Georgoulis, Emmanuil H. and Hall, Edward (2006) Adaptivity and A Posteriori Error Estimation For DG Methods on Anisotropic Meshes. In: International Conference on Boundary and Interior Layers (BAIL) - Computational and Asymptotic Methods. Wattis, Jonathan AD (2006) An introduction to mathematical models of coagulation-fragmentation processes: a discrete deterministic mean-field approach. Physica D, 222 . pp. 1-20. ISSN 0167-2789 Cox, Stephen M. and Candy, B. H. (2006) Class-D audio amplifiers with negative feedback. SIAM Journal on Applied Mathematics, 66 (2). pp. 468-488. Coveney, Peter V. and Wattis, Jonathan A.D. (2006) Coarse-graining and renormalisation group methods for the elucidation of the kinetics of complex nucleation and growth processes. Molecular Physics, 104 . pp. 177-185. ISSN 0026-8976 Maltsev, Eugene and Wattis, Jonathan AD and Byrne, Helen M (2006) DNA charge neutralisation by linear polymers I: irreversible binding. Physical Review E, 74 . 011904. ISSN 1539-3755 Maltsev, Eugene and Wattis, Jonathan AD and Byrne, Helen M (2006) DNA charge neutralisation by linear polymers II: reversible binding. Physical Review E, 74 . 041918. ISSN 1539-3755 Georgoulis, Emmanuil H. and Hall, Edward and Houston, Paul (2006) Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems on Anisotropically Refined Meshes. Georgoulis, Emmanuil H. and Hall, Edward and Houston, Paul (2006) Discontinuous Galerkin Methods on hp-Anisotropic Meshes I: A Priori Error Analysis. Butt, Imran A and Wattis, Jonathan AD (2006) Discrete breathers in a two-dimensional Fermi-Pasta-Ulam lattice. Journal of Physics. A, Mathematical and General, 39 . pp. 4955-4984. ISSN 0305-4470 Wattis, Jonathan AD (2006) Exact solutions for cluster-growth kinetics with evolving size and shape profiles. Journal of Physics. A, Mathematical and General, 39 . pp. 7283-7298. ISSN 0305-4470 Thul, Ruediger and Falcke, Martin (2006) Frequency of elemental events of intracellular Ca²⁺ dynamics. Physical Review E, 73 . 061923. ISSN 1539-3755 Vikhansky, A. and Cox, Stephen M. (2006) Reduced models of chemical reaction in chaotic flows. Physics of Fluids, 18 (3). 037102-1-037102-6. ISSN 1070-6631 Cermelli, Paolo and Parry, Gareth P. (2006) The structure of uniform discrete defective crystals. Continuum Mechanics and Thermodynamics, 18 (1-2). pp. 47-61. ISSN 0935-1175 Laing, Carlo and Coombes, Stephen (2005) The importance of different timings of excitatory and inhibitory pathways in neural field models. Timofeeva, Yulia and Lord, Gabriel and Coombes, Stephen (2005) Dendritic cable with active spines: a modeling study in the spike-diffuse-spike framework. Hartmann, Ralf and Houston, Paul (2005) Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations I: Method Formulation. Hartmann, Ralf and Houston, Paul (2005) Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations II: Goal--Oriented A Posteriori Error Estimation. Coombes, Stephen and Owen, Markus (2005) Bumps, breathers, and waves in a neural network with spike frequency adaptation. Coombes, Stephen (2005) Waves, bumps, and patterns in neural field theories. Houston, Paul and Perugia, Ilaria and Schoetzau, Dominik (2005) A posteriori error estimation for discontinuous Galerkin discretizations of H(curl)-elliptic partial differential equations. Wattis, Jonathan A.D. and Coveney, Peter V. (2005) Chiral polymerisation and the RNA world. International Journal of Astrobiology, 4 . pp. 63-73. ISSN 1473-5504 Wattis, Jonathan A.D. and Coveney, Peter V. (2005) Chiral polymerisation and the RNA world. International Journal of Astrobiology, 4 (1). pp. 63-73. Buffa, Annalisa and Houston, Paul and Perugia, Ilaria (2005) Discontinuous Galerkin Computation of the Maxwell Eigenvalues on Simplicial Meshes. Brownlee, R. and Houston, Paul and Levesley, J. and Rosswog, S. (2005) Enhancing SPH using moving least-squares and radial basis functions. Thul, Ruediger and Falcke, Martin (2005) Reactive clusters on a membrane. Physical Biology, 2 . pp. 51-59. ISSN 1478-3967 Wattis, Jonathan A.D. and Coveney, Peter V. (2005) Symmetry-breaking in chiral polymerisation. Origins of Life and the Evolution of the Biosphere, 35 (3). pp. 243-273. ISSN 0169-6149 Cox, Stephen M. (2004) Chaotic mixing of a competitive-consecutive reaction. Physica D, 199 (3-4). pp. 369-386. ISSN 0167-2789 Timofeeva, Yulia and Coombes, Stephen (2004) Directed percolation in a two dimensional stochastic fire-diffuse-fire model. Coombes, Stephen and Owen, Markus (2004) Evans functions for integral neural field equations with Heaviside firing rate function. Chik, D T W and Coombes, Stephen and Wang, Z D (2004) Clustering through post inhibitory rebound in synaptically coupled neurons. Laing, Carlo and Coombes, Stephen (2004) Mode locking in a periodically forced "ghostbursting" neuron model. Coombes, Stephen and Hinch, Robert and Timofeeva, Yulia (2004) Receptors, sparks and waves in a fire-diffuse-fire framework for calcium release. Wattis, Jonathan AD (2004) Nonlinear breathing modes at a defect. Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences, 362 . pp. 1461-1477. ISSN 1364-503X Thul, Ruediger and Falcke, Martin (2004) Release currents of IP₃ receptor channel clusters and concentration profiles. Biophysical Journal, 86 (5). pp. 2660-2673. ISSN 0006-3495 Wattis, Jonathan AD (2004) Similarity solutions of a Becker-Döring system with time-dependent monomer input. Journal of Physics. A, Mathematical and General, 37 . pp. 7823-7841. ISSN 0305-4470 Thul, Ruediger and Falcke, Martin (2004) Stability of membrane bound reactions. Physical Review Letters, 93 (18). p. 188103. ISSN 0031-9007 Wattis, Jonathan A.D. and Bolton, Colin D. and Coveney, Peter V. (2004) The Becker-Döring equations with exponentially size-dependent rate coefficients. Journal of Physics. A, Mathematical and General, 37 . pp. 2895-2912. ISSN 0305-4470 Bolton, Colin D and Wattis, Jonathan AD (2004) The Becker-Döring equations with monomer input, competition and inhibition. Journal of Physics. A, Mathematical and General, 37, . pp. 1971-1986. ISSN 0305-4470 Barrett, John W. (2002) Geometrical measurements in three-dimensional quantum gravity. Cremona, John E and Rusin, David (2001) Efficient Solution of Rational Conics. Mathematics of Computation . (In Press) Barrett, John W. and Baez, John C. (2001) Integrability for Relativistic Spin Networks. Classical and Quantum Gravity, 18 (4683-4700). Cremona, John E and Stoll, Michael (2001) On the reduction theory of binary forms. Barrett, John W. and Crane, Louis (2000) A Lorentzian Signature Model for Quantum General Relativity. Class.Quant.Grav., 17 . pp. 3101-3118. Matthews, P. and Cox, Stephen M. (2000) Pattern formation with a conservation law. Nonlinearity, 13 . pp. 1293-1320. Barrett, John W. (2000) State sum models for quantum gravity. Barrett, John W. (2000) Unlinked Embedded Graphs. Feinstein, J. F. and Kamowitz, Herbert (1999) Endomorphisms of Banach algebras of infinitely differentiable functions. Feinstein, J. F. and Kaniuth, E. (1999) Spectral synthesis and topologies on ideal spaces for Banach *-algebras. Feinstein, J. F. and Somerset, D. W. B. (1999) Spectral synthesis for Banach Algebras II. Baez, John C. and Barrett, John W. (1999) The Quantum Tetrahedron in 3 and 4 Dimensions. Adv.Theor.Math.Phys., 3 . pp. 815-850. Barrett, John W. and Williams, Ruth M. (1999) The asymptotics of an amplitude for the 4-simplex. Adv.Theor.Math.Phys., 3 . pp. 209-215. Feinstein, J. F. (1999) Trivial Jensen measures without regularity. Matthews, Paul (1998) Hexagonal patterns in finite domains. Physica D, 116 . pp. 81-94. Barrett, John W. (1998) The classical evaluation of relativistic spin networks. Adv.Theor.Math.Phys., 2 . pp. 593-600. Brailsford, D. F. and Hall, G. G. and Hemming, N. and Martin, D. (1975) Floating s- and p-type Gaussian Orbitals. Chemical Physics Letters, 35 (4). pp. 437-440. Brailsford, David F. (1975) Approximate ab initio calculations and the method of molecular fragments. In: Quantum Chemistry - The State of the Art, 8-10 April 1974, St Catherine's College Oxford. Brailsford, David F. and Hylton, Jane (1973) Fast assembly of fock matrices utilising symmetry properties of the basis set. Chemical Physics Letters, 18 (4). pp. 595-597. Packer, John C. and Brailsford, David F. (1973) The OPIT system part I. Computer Physics Communications, 5 . pp. 123-135. Brailsford, David F. and Ford, Brian (1971) 3-body energy terms in a quartet state of H3. Chemical Physics Letters, 12 (1). pp. 60-61. Brailsford, David F. and Hall, George G. (1971) Symmetry properties of one- and two- electron molecular integrals. International Journal of Quantum Chemistry, V . pp. 657-668. Brailsford, David F. and Ford, Brian (1970) Calculated ionization potentials of the linear alkanes. Molecular Physics, 18 (5). pp. 621-630. Brailsford, David F. and Robertson, Andrew J. B. (1968) Calculation of electric field strengths at a sharp edge. International Journal of Mass Spectrometry and Ion Physics, 1 . pp. 75-85. Antonietti, Paola F. and Houston, Paul A Pre-processing Moving Mesh Method for Discontinuous Galerkin Approximations of Advection-Diffusion-Reaction Problems. International Journal of Numerical Analysis and Modeling . (Submitted) Binder, B. J. and Cox, Stephen M. A mixer design for the pigtail braid. Fluid Dynamics Research . ISSN 0169-5983 (In Press) Hartmann, Ralf and Houston, Paul An Optimal Order Interior Penalty Discontinuous Galerkin Discretization of the Compressible Navier-Stokes Equations. Journal of Computational Physics . ISSN 0021-9991 (Submitted) Fesenko, Ivan Analysis on arithmetic schemes. II. Analysis on arithmetic schemes. II . (Submitted) Iosub, Radu and Avitabile, Daniele and Grant, Lisa and Tsaneva-Atanasova, Krasimira and Kennedy, Helen J. Calcium induced calcium release during action potential firing in developing inner hair cells. Biophysical Journal . ISSN 0006-3495 (In Press) Timofeeva, Yulia and Cox, Steven J. and Coombes, Stephen and Josic, Kresimir Democratization in a passive dendritic tree: an analytical investigation. Journal of Computational Neuroscience . ISSN 0929-5313 (In Press) Georgoulis, Emmanuil H. and Houston, Paul Discontinuous Galerkin Methods for the Biharmonic Problem. IMA Journal of Numerical Analysis . (Submitted) Georgoulis, Emmanuil H. and Hall, Edward and Houston, Paul Discontinuous Galerkin Methods on hp-Anisotropic Meshes II: A Posteriori Error Analysis and Adaptivity. Applied Numerical Mathematics . (Submitted) Coombes, Stephen and Zachariou, Margarita Gap junctions and emergent rhythms. In: Coherent Behavior in Neuronal Networks. Springer. (Submitted) Laing, Carlo and Coombes, Stephen Instabilities in threshold-diffusion equations with delay. Physica D . ISSN 0167-2789 (In Press) Fischer, Sabine and Houston, Paul and Monk, Nick A.M. and Owen, Markus R. Is a persistent global bias necessary for the establishment of planar cell polarity? PLoS Computational Biology . ISSN 1553-734X (Submitted) Bünemann, Jörg and Gebhard, Florian and Thul, Ruediger Landau-Gutzwiller quasi-particles. Physical Review B, 67 . 075103. ISSN 1098-0121 Zachariou, Margarita and Dissanayake, Dilshani W N and Coombes, Stephen and Owen, Markus R and Mason, Robert Sensory gating and its modulation by cannabinoids: electrophysiological, computational and mathematical analysis. Cognitive Neurodynamics . ISSN 1871-4080 (In Press) Congreve, Scott and Houston, Paul and Wihler, Thomas P. Two-grid hp-version discontinuous Galerkin finite element methods for second-order quasilinear elliptic PDEs. Journal of Scientific Computing . ISSN 0885-7474 (Submitted) Thul, Ruediger and Falcke, Martin Waiting time distributions for clusters of complex molecules. Europhysics Letters . |