Sussex Research Online: No conditions. Results ordered -Date Deposited. http://sro.sussex.ac.uk/ http://sro.sussex.ac.uk/images/sitelogo.png Sussex Research Online: No conditions. Results ordered -Date Deposited. http://sro.sussex.ac.uk/ Mon, 20 Nov 2023 23:58:06 +0000 Mon, 20 Nov 2023 23:58:06 +0000 en Wed, 13 Jun 2018 11:31:23 +0100 Energy landscape of the finite-size mean-field 2-spin spherical model and topology trivialization http://sro.sussex.ac.uk/id/eprint/76464/ http://sro.sussex.ac.uk/id/eprint/76464/ Mehta, Dhagash, Hauenstein, Jonathan D, Niemerg, Matthew, Simm, Nicholas J and Stariolo, Daniel A (2015) Energy landscape of the finite-size mean-field 2-spin spherical model and topology trivialization. Physical Review E (PRE), 91. ISSN 1539-3755 Mon, 19 Feb 2018 13:10:02 +0000 Anomalous energy transport in FPU-β chain http://sro.sussex.ac.uk/id/eprint/73688/ http://sro.sussex.ac.uk/id/eprint/73688/ Mellet, Antoine and Merino-Aceituno, Sara (2015) Anomalous energy transport in FPU-β chain. Journal of Statistical Physics, 160 (3). pp. 583-621. ISSN 0022-4715 Mon, 30 Oct 2017 16:24:46 +0000 An adaptive finite element method for the infinity Laplacian http://sro.sussex.ac.uk/id/eprint/59656/ http://sro.sussex.ac.uk/id/eprint/59656/ Lakkis, Omar and Pryer, Tristan (2015) An adaptive finite element method for the infinity Laplacian. European Numerical Mathematics Conference 2013 EPF Lausanne, École Polytechnique Fédérale de Lausanne, 26-30 August 2013. Published in: Numerical Mathematics and Advanced Applications - ENUMATH 2013. (103) 283-291. Springer International Publishing ISSN 1439-7358 ISBN 9783319107042 Tue, 25 Jul 2017 11:21:19 +0100 Function spaces and partial differential equations: volume 2, contemporary analysis http://sro.sussex.ac.uk/id/eprint/69432/ http://sro.sussex.ac.uk/id/eprint/69432/ Taheri, Ali (2015) Function spaces and partial differential equations: volume 2, contemporary analysis. Oxford lecture series in mathematics and its applications, 2 . Oxford University Press, Oxford, UK. ISBN 9780198733157 Tue, 25 Jul 2017 11:16:12 +0100 Function spaces and partial differential equations: volume 1 - classical analysis http://sro.sussex.ac.uk/id/eprint/69431/ http://sro.sussex.ac.uk/id/eprint/69431/ Taheri, Ali (2015) Function spaces and partial differential equations: volume 1 - classical analysis. Oxford lecture series in mathematics and its applications, 1 . Oxford University Press, Oxford, UK. ISBN 9780198733133 Thu, 15 Jun 2017 14:26:47 +0100 Homogenization of lateral diffusion on a random surface http://sro.sussex.ac.uk/id/eprint/68606/ http://sro.sussex.ac.uk/id/eprint/68606/ Duncan, Andrew B (2015) Homogenization of lateral diffusion on a random surface. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 13 (4). pp. 1478-1506. ISSN 1540-3459 Thu, 15 Jun 2017 14:23:33 +0100 A multiscale analysis of diffusions on rapidly varying surfaces http://sro.sussex.ac.uk/id/eprint/68601/ http://sro.sussex.ac.uk/id/eprint/68601/ Duncan, A M, Elliott, C M, Pavliotis, G A and Stuart, A M (2015) A multiscale analysis of diffusions on rapidly varying surfaces. Journal of Nonlinear Science, 25 (2). pp. 389-449. ISSN 0938-8974 Thu, 15 Jun 2017 09:02:51 +0100 Noise-induced multistability in chemical systems: discrete versus continuum modeling http://sro.sussex.ac.uk/id/eprint/68602/ http://sro.sussex.ac.uk/id/eprint/68602/ Duncan, Andrew, Liao, Shuohao, Vejchodský, Tomáš, Erban, Radek and Grima, Ramon (2015) Noise-induced multistability in chemical systems: discrete versus continuum modeling. Physical Review E, 91 (4). 042111. ISSN 1539-3755 Tue, 24 Jan 2017 15:35:03 +0000 Differential inclusions and young measures involving prescribed Jacobians http://sro.sussex.ac.uk/id/eprint/66429/ http://sro.sussex.ac.uk/id/eprint/66429/ Koumatos, Konstantinos, Rindler, Filip and Wiedemann, Emil (2015) Differential inclusions and young measures involving prescribed Jacobians. SIAM Journal on Mathematical Analysis, 47 (2). pp. 1169-1195. ISSN 0036-1410 Tue, 24 Jan 2017 14:55:46 +0000 The morphology of lath martensite: a new perspective http://sro.sussex.ac.uk/id/eprint/66416/ http://sro.sussex.ac.uk/id/eprint/66416/ Koumatos, Konstantinos and Muehlemann, Anton (2015) The morphology of lath martensite: a new perspective. MATEC Web of Conferences, 33. 07003. ISSN 2261-236X Mon, 16 Jan 2017 13:17:41 +0000 Large deviations for cluster size distributions in a continuous classical many-body system http://sro.sussex.ac.uk/id/eprint/66142/ http://sro.sussex.ac.uk/id/eprint/66142/ Jansen, Sabine, König, Wolfgang and Metzger, Bernd (2015) Large deviations for cluster size distributions in a continuous classical many-body system. Annals of Applied Probability, 25 (2). pp. 930-973. ISSN 1050-5164 Fri, 13 Jan 2017 15:07:50 +0000 Cluster and virial expansions for the multi-species tonks gas http://sro.sussex.ac.uk/id/eprint/66145/ http://sro.sussex.ac.uk/id/eprint/66145/ Jansen, S (2015) Cluster and virial expansions for the multi-species tonks gas. Journal of Statistical Physics, 161 (5). pp. 1299-1323. ISSN 0022-4715 Thu, 12 Jan 2017 11:39:39 +0000 Existence and uniqueness for a coupled parabolic-elliptic model with applications to magnetic relaxation http://sro.sussex.ac.uk/id/eprint/59611/ http://sro.sussex.ac.uk/id/eprint/59611/ McCormick, David S, Robinson, James C and Rodrigo, Jose L (2015) Existence and uniqueness for a coupled parabolic-elliptic model with applications to magnetic relaxation. Archive for Rational Mechanics and Analysis, 214 (2). pp. 503-523. ISSN 0003-9527 Thu, 12 Jan 2017 11:27:16 +0000 Higher order commutator estimates and local existence for the non-resistive MHD equations and related models http://sro.sussex.ac.uk/id/eprint/59610/ http://sro.sussex.ac.uk/id/eprint/59610/ Fefferman, Charles L, McCormick, David S, Robinson, James C and Rodrigo, Jose L (2015) Higher order commutator estimates and local existence for the non-resistive MHD equations and related models. Journal of Functional Analysis, 267 (4). pp. 1035-1056. ISSN 0022-1236 Mon, 24 Oct 2016 10:12:45 +0100 Coupling geometric PDEs with physics, cell morphology, motility and pattern formation http://sro.sussex.ac.uk/id/eprint/64924/ http://sro.sussex.ac.uk/id/eprint/64924/ Madzvamuse, Anotida, Leube, Rudolf E, Othmer, Hans and Merkel, Rudolf (2015) Coupling geometric PDEs with physics, cell morphology, motility and pattern formation. In: Coupling geometric PDEs with physics, cell morphology, motility and pattern formation, 13th July 2015 to 18th December 2015. Thu, 01 Sep 2016 09:17:32 +0100 Exact equations for SIR epidemics on tree graphs http://sro.sussex.ac.uk/id/eprint/63085/ http://sro.sussex.ac.uk/id/eprint/63085/ Sharkey, K J, Kiss, I Z, Wilkinson, R R and Simon, P L (2015) Exact equations for SIR epidemics on tree graphs. Bulletin of Mathematical Biology, 77 (4). pp. 614-645. ISSN 0092-8240 Thu, 16 Jun 2016 09:37:01 +0100 A computational framework for particle and whole cell tracking applied to a real biological dataset http://sro.sussex.ac.uk/id/eprint/61519/ http://sro.sussex.ac.uk/id/eprint/61519/ Yang, Feng Wei (2015) A computational framework for particle and whole cell tracking applied to a real biological dataset. In: Coupling Geometric PDEs with Physics for Cell Morphology, Motility and Pattern Formation, 2 Dec 2015, Isaac Newton Institute, University of Cambridge. Thu, 16 Jun 2016 09:35:01 +0100 Parallel multigrid methods for parabolic partial differential equations and applications http://sro.sussex.ac.uk/id/eprint/61518/ http://sro.sussex.ac.uk/id/eprint/61518/ Yang, Feng Wei (2015) Parallel multigrid methods for parabolic partial differential equations and applications. In: Seminar talk at Isaac Newton Institute, University of Cambridge, 1 Oct 2015, Cambridge, UK. Thu, 16 Jun 2016 07:08:54 +0100 Whole cell tracking and movement reconstruction through an optimal control problem http://sro.sussex.ac.uk/id/eprint/61515/ http://sro.sussex.ac.uk/id/eprint/61515/ Yang, Feng Wei, Madzvamuse, Anotida and Venkataraman, Chandrasekhar (2015) Whole cell tracking and movement reconstruction through an optimal control problem. In: Seminar at iBiDi, Munich, Germany, 8 June, 2015, Munich, Germany. Wed, 08 Jun 2016 15:27:30 +0100 Parallel implementation of an adaptive, multigrid solver for the implicit solution of nonlinear parabolic systems, with application to a multi-phase-field model for tumour growth http://sro.sussex.ac.uk/id/eprint/61399/ http://sro.sussex.ac.uk/id/eprint/61399/ Yang, F W, Goodyer, C E, Hubbard, M E and Jimack, P K (2015) Parallel implementation of an adaptive, multigrid solver for the implicit solution of nonlinear parabolic systems, with application to a multi-phase-field model for tumour growth. In: Fourth International Conference on Parallel, Distributed, Grid and Cloud Computing for Engineering (PARENG 2015), 24-27 March 2015, Dubrovnik, Croatia. Wed, 08 Jun 2016 14:00:50 +0100 Three dimensional thermal-solute phase field simulation of binary alloy solidification http://sro.sussex.ac.uk/id/eprint/61397/ http://sro.sussex.ac.uk/id/eprint/61397/ Bollada, P C, Goodyer, C E, Jimack, P K, Mullis, A M and Yang, F W (2015) Three dimensional thermal-solute phase field simulation of binary alloy solidification. Journal of Computational Physics, 287. pp. 130-150. ISSN 0021-9991 Mon, 15 Feb 2016 10:00:05 +0000 Computing observables in curved multifield models of inflation — a guide (with code) to the transport method http://sro.sussex.ac.uk/id/eprint/59642/ http://sro.sussex.ac.uk/id/eprint/59642/ Dias, Mafalda, Frazer, Jonathan and Seery, David (2015) Computing observables in curved multifield models of inflation — a guide (with code) to the transport method. Journal of Cosmology and Astroparticle Physics, 2015 (12). a030. ISSN 1475-7516 Tue, 26 Jan 2016 13:51:55 +0000 Semi-discrete, semi-linear SPDEs http://sro.sussex.ac.uk/id/eprint/59426/ http://sro.sussex.ac.uk/id/eprint/59426/ Georgiou, Nicos, Joseph, Mathew, Khoshnevisan, Davar and Shiu, Shang-Yuan (2015) Semi-discrete, semi-linear SPDEs. Annals of Applied Probability, 25 (5). pp. 2959-3006. ISSN 1050-5164 Tue, 26 Jan 2016 13:50:59 +0000 Ratios of partition functions for the log-gamma polymer http://sro.sussex.ac.uk/id/eprint/59424/ http://sro.sussex.ac.uk/id/eprint/59424/ Georgiou, Nicos, Rassoul-Agha, Firas, Seppalainen, Timo and Yilmaz, Atilla (2015) Ratios of partition functions for the log-gamma polymer. Annals of Probability, 43 (5). pp. 2282-2331. ISSN 0091-1798 Tue, 12 Jan 2016 14:08:07 +0000 Review on computational methods for Lyapunov functions http://sro.sussex.ac.uk/id/eprint/57409/ http://sro.sussex.ac.uk/id/eprint/57409/ Giesl, Peter and Hafstein, Sigurdur (2015) Review on computational methods for Lyapunov functions. Discrete and Continuous Dynamical Systems - Series B, 20 (8). pp. 2291-2331. ISSN 1531-3492 Thu, 07 Jan 2016 10:46:25 +0000 Solvable non-Markovian dynamic network http://sro.sussex.ac.uk/id/eprint/58997/ http://sro.sussex.ac.uk/id/eprint/58997/ Georgiou, Nicos, Kiss, Istvan Z and Scalas, Enrico (2015) Solvable non-Markovian dynamic network. Physical Review E, 92 (4). 042801. ISSN 1539-3755 Wed, 16 Dec 2015 10:55:07 +0000 Open problems in finite projective spaces http://sro.sussex.ac.uk/id/eprint/58851/ http://sro.sussex.ac.uk/id/eprint/58851/ Hirschfeld, J W P and Thas, J A (2015) Open problems in finite projective spaces. Finite Fields and Their Applications, 32. pp. 44-81. ISSN 1071-5797 Tue, 15 Dec 2015 13:51:18 +0000 Analysis of an epidemic model with awareness decay on regular random networks http://sro.sussex.ac.uk/id/eprint/58486/ http://sro.sussex.ac.uk/id/eprint/58486/ Juher, David, Kiss, Istvan Z and Saldaña, Joan (2015) Analysis of an epidemic model with awareness decay on regular random networks. Journal of Theoretical Biology, 365. pp. 457-468. ISSN 0022-5193 Tue, 15 Dec 2015 11:43:00 +0000 Exact deterministic representation of Markovian SIR epidemics on networks with and without loops http://sro.sussex.ac.uk/id/eprint/58841/ http://sro.sussex.ac.uk/id/eprint/58841/ Kiss, Istvan Z, Morris, Charles G, Sélley, Fanni, Simon, Péter L and Wilkinson, Robert R (2015) Exact deterministic representation of Markovian SIR epidemics on networks with and without loops. Journal of Mathematical Biology, 70 (3). pp. 437-464. ISSN 0303-6812 Fri, 11 Dec 2015 09:41:56 +0000 Dynamics of neural systems with discrete and distributed time delays http://sro.sussex.ac.uk/id/eprint/58803/ http://sro.sussex.ac.uk/id/eprint/58803/ Rahman, B, Blyuss, K B and Kyrychko, Y N (2015) Dynamics of neural systems with discrete and distributed time delays. SIAM Journal on Applied Dynamical Systems, 14 (4). pp. 2069-2095. ISSN 1536-0040 Sun, 06 Dec 2015 12:45:14 +0000 Computational methods for investigating cell motility with applications to neutrophil cell migration http://sro.sussex.ac.uk/id/eprint/56990/ http://sro.sussex.ac.uk/id/eprint/56990/ Blazakis, Konstantinos N (2015) Computational methods for investigating cell motility with applications to neutrophil cell migration. Doctoral thesis (PhD), University of Sussex. Tue, 24 Nov 2015 13:16:10 +0000 Modelling and simulation of cell migration in heterogeneous media http://sro.sussex.ac.uk/id/eprint/45599/ http://sro.sussex.ac.uk/id/eprint/45599/ Elliott, Charles Martin, Stinner, Bjorn, Styles, Vanessa, Venkataraman, Chandrasekhar and Unset (2015) Modelling and simulation of cell migration in heterogeneous media. 4th International Conference Computational & Mathematical Biomedical Engineering, Paris, France, 29 June - 01 July, 2015. Published in: Nithiarasu, Perumal and Budyn, Elisa, (eds.) CMBE15: 4th International Conference on Computational & Mathematical Biomedical Engineering, 29th June - 1st July 2015 École Normale Supéerieure de Cachan, Cachan (Paris) France. 401-404. CMBE, Swansea, UK. ISBN 9780956291431 Mon, 09 Nov 2015 10:01:26 +0000 A model for selection of eyespots on butterfly wings http://sro.sussex.ac.uk/id/eprint/57772/ http://sro.sussex.ac.uk/id/eprint/57772/ Sekimura, Toshio, Venkataraman, Chandrasekhar and Madzvamuse, Anotida (2015) A model for selection of eyespots on butterfly wings. PLoS ONE, 10 (11). pp. 1-23. ISSN 1932-6203 Thu, 29 Oct 2015 13:42:13 +0000 Grid refinement in the construction of Lyapunov functions using radial basis functions http://sro.sussex.ac.uk/id/eprint/57408/ http://sro.sussex.ac.uk/id/eprint/57408/ Giesl, Peter and Mohammed, Najla (2015) Grid refinement in the construction of Lyapunov functions using radial basis functions. Discrete and Continuous Dynamical Systems - Series B, 20 (8). pp. 2453-2476. ISSN 1531-3492 Thu, 29 Oct 2015 13:00:23 +0000 Converse theorems on contraction metrics for an equilibrium http://sro.sussex.ac.uk/id/eprint/57400/ http://sro.sussex.ac.uk/id/eprint/57400/ Giesl, Peter (2015) Converse theorems on contraction metrics for an equilibrium. Journal of Mathematical Analysis and Applications, 424 (2). pp. 1380-1403. ISSN 0022-247X Thu, 29 Oct 2015 12:27:36 +0000 Time-delayed models of gene regulatory networks http://sro.sussex.ac.uk/id/eprint/57395/ http://sro.sussex.ac.uk/id/eprint/57395/ Parmar, K, Blyuss, K B, Kyrychko, Y N and Hogan, S J (2015) Time-delayed models of gene regulatory networks. Computational and Mathematical Methods in Medicine, 2015. ISSN 1748-6718 Mon, 19 Oct 2015 14:34:27 +0100 Dynamic control of modern, network-based epidemic models http://sro.sussex.ac.uk/id/eprint/57194/ http://sro.sussex.ac.uk/id/eprint/57194/ Sélley, Fanni, Besenyei, Ádám, Kiss, Istvan Z and Simon, Péter L (2015) Dynamic control of modern, network-based epidemic models. SIAM Journal on Applied Dynamical Systems, 14 (1). pp. 168-187. ISSN 1536-0040 Mon, 05 Oct 2015 11:47:04 +0100 Opinion dynamics: inhomogeneous Boltzmann-type equations modelling opinion leadership and political segregation http://sro.sussex.ac.uk/id/eprint/56997/ http://sro.sussex.ac.uk/id/eprint/56997/ Düring, Bertram and Wolfram, Marie-Therese (2015) Opinion dynamics: inhomogeneous Boltzmann-type equations modelling opinion leadership and political segregation. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, 471 (2182). ISSN 1364-5021 Mon, 05 Oct 2015 09:01:31 +0100 Computation and verification of Lyapunov functions http://sro.sussex.ac.uk/id/eprint/56984/ http://sro.sussex.ac.uk/id/eprint/56984/ Giesl, Peter and Hafstein, Sigurdur (2015) Computation and verification of Lyapunov functions. SIAM Journal on Applied Dynamical Systems, 14 (4). pp. 1663-1698. ISSN 1536-0040 Tue, 29 Sep 2015 12:13:10 +0100 Dynamics of multi-stage infections on networks http://sro.sussex.ac.uk/id/eprint/56913/ http://sro.sussex.ac.uk/id/eprint/56913/ Sherborne, N, Blyuss, K B and Kiss, I Z (2015) Dynamics of multi-stage infections on networks. Bulletin of Mathematical Biology, 77 (10). pp. 1909-1933. ISSN 0092-8240 Mon, 28 Sep 2015 13:59:04 +0100 A posteriori analysis of discontinuous galerkin schemes for systems of hyperbolic conservation laws http://sro.sussex.ac.uk/id/eprint/56909/ http://sro.sussex.ac.uk/id/eprint/56909/ Giesselmann, Jan, Makridakis, Charalambos and Pryer, Tristan (2015) A posteriori analysis of discontinuous galerkin schemes for systems of hyperbolic conservation laws. SIAM Journal on Numerical Analysis, 53 (3). pp. 1280-1303. ISSN 0036-1429 Mon, 21 Sep 2015 13:26:11 +0100 Generalization of pairwise models to non-Markovian epidemics on networks http://sro.sussex.ac.uk/id/eprint/56841/ http://sro.sussex.ac.uk/id/eprint/56841/ Kiss, Istvan Z, Röst, Gergely and Zsolt, Vizi (2015) Generalization of pairwise models to non-Markovian epidemics on networks. Physical Review Letters (PRL), 115 (7). 078701. ISSN 0031-9007 Mon, 14 Sep 2015 08:11:51 +0100 Mean-field-like approximations for stochastic processes on weighted and dynamic networks http://sro.sussex.ac.uk/id/eprint/56600/ http://sro.sussex.ac.uk/id/eprint/56600/ Rattana, Prapanporn (2015) Mean-field-like approximations for stochastic processes on weighted and dynamic networks. Doctoral thesis (PhD), University of Sussex. Fri, 11 Sep 2015 12:58:32 +0100 1-Year outcomes after transcatheter aortic valve replacement with balloon-expandable versus self-expandable valves http://sro.sussex.ac.uk/id/eprint/56652/ http://sro.sussex.ac.uk/id/eprint/56652/ Abdel-Wahab, Mohamed, Neumann, Franz-Josef, Mehilli, Julinda, Frerker, Christian, Richardt, Doreen, Landt, Martin, Jose, John, Toelg, Ralph, Kuck, Karl-Heinz, Massberg, Steffen, Robinson, Derek R, El-Mawardy, Mohamed and Richardt, Gert (2015) 1-Year outcomes after transcatheter aortic valve replacement with balloon-expandable versus self-expandable valves. Journal of the American College of Cardiology, 66 (7). pp. 791-800. ISSN 0735-1097 Fri, 04 Sep 2015 11:15:11 +0100 High-order compact schemes for parabolic problems with mixed derivatives in multiple space dimensions http://sro.sussex.ac.uk/id/eprint/56531/ http://sro.sussex.ac.uk/id/eprint/56531/ Düring, Bertram and Heuer, Christof (2015) High-order compact schemes for parabolic problems with mixed derivatives in multiple space dimensions. SIAM Journal on Numerical Analysis, 53 (5). pp. 2113-2134. ISSN 0036-1429 Fri, 28 Aug 2015 14:51:09 +0100 Velocity and energy distributions in microcanonical ensembles of hard spheres http://sro.sussex.ac.uk/id/eprint/56263/ http://sro.sussex.ac.uk/id/eprint/56263/ Scalas, Enrico, Gabriel, Adrian T, Martin, Edgar and Germano, Guido (2015) Velocity and energy distributions in microcanonical ensembles of hard spheres. Physical Review E (PRE), 92 (2). 022140. ISSN 1550-2376 Fri, 07 Aug 2015 12:14:00 +0100 A parallel and adaptive multigrid solver for the solutions of the optimal control of geometric evolution laws in two and three dimensions http://sro.sussex.ac.uk/id/eprint/56044/ http://sro.sussex.ac.uk/id/eprint/56044/ Yang, F, Venkataraman, C, Styles, V and Madzvamuse, A (2015) A parallel and adaptive multigrid solver for the solutions of the optimal control of geometric evolution laws in two and three dimensions. In: 4th International Conference on Computational and Mathematical Biomedical Engineering - CMBE2015, 29 June-1 July 2015, Paris, France. Mon, 27 Jul 2015 11:29:16 +0100 Rigidity of three-dimensional lattices and dimension reduction in heterogeneous nanowires http://sro.sussex.ac.uk/id/eprint/55762/ http://sro.sussex.ac.uk/id/eprint/55762/ Palombaro, Mariapia, Lazzaroni, Giuliano and Schlömerkemper, Anja (2015) Rigidity of three-dimensional lattices and dimension reduction in heterogeneous nanowires. Discrete and Continuous Dynamical Systems - Series S, 10 (1). pp. 119-139. ISSN 1937-1632 Mon, 27 Jul 2015 07:11:26 +0100 A bound on the group velocity for Bloch wave packets http://sro.sussex.ac.uk/id/eprint/55752/ http://sro.sussex.ac.uk/id/eprint/55752/ Allaire, Grégoire, Palombaro, Mariapia and Rauch, Jeffrey (2015) A bound on the group velocity for Bloch wave packets. Portugaliae Mathematica, 72 (2). pp. 119-123. ISSN 0032-5155 Fri, 24 Jul 2015 13:12:31 +0100 Understanding the roles of activation threshold and infections in the dynamics of autoimmune disease http://sro.sussex.ac.uk/id/eprint/55743/ http://sro.sussex.ac.uk/id/eprint/55743/ Blyuss, K B and Nicholson, L B (2015) Understanding the roles of activation threshold and infections in the dynamics of autoimmune disease. Journal of Theoretical Biology, 375. pp. 13-20. ISSN 0022-5193 Thu, 23 Jul 2015 11:45:45 +0100 Extinction time for a random walk in a random environment http://sro.sussex.ac.uk/id/eprint/55702/ http://sro.sussex.ac.uk/id/eprint/55702/ De Masi, Anna, Presutti, Errico, Tsagkarogiannis, Dimitrios and Vares, Maria Eulalia (2015) Extinction time for a random walk in a random environment. Bernoulli, 21 (3). pp. 1824-1843. ISSN 1350-7265 Wed, 22 Jul 2015 08:17:36 +0100 Finite volume corrections and decay of correlations in the canonical ensemble http://sro.sussex.ac.uk/id/eprint/55659/ http://sro.sussex.ac.uk/id/eprint/55659/ Pulvirenti, Elena and Tsagkarogiannis, Dimitrios (2015) Finite volume corrections and decay of correlations in the canonical ensemble. Journal of Statistical Physics, 159 (5). pp. 1017-1039. ISSN 0022-4715 Tue, 16 Jun 2015 16:30:38 +0100 Computation of Lyapunov functions for systems with multiple attractors http://sro.sussex.ac.uk/id/eprint/54584/ http://sro.sussex.ac.uk/id/eprint/54584/ Björnsson, Jóhann, Giesl, Peter, Hafstein, Sigurdur F and Kellett, Christopher M (2015) Computation of Lyapunov functions for systems with multiple attractors. Discrete and Continuous Dynamical Systems - Series A, 35 (9). pp. 4019-4039. ISSN 1078-0947 Fri, 05 Jun 2015 16:02:36 +0100 Error analysis for an ALE evolving surface finite element method http://sro.sussex.ac.uk/id/eprint/50667/ http://sro.sussex.ac.uk/id/eprint/50667/ Venkataraman, Chandrasekhar and Elliott, Charles M (2015) Error analysis for an ALE evolving surface finite element method. Numerical Methods for Partial Differential Equations, 31 (2). pp. 459-499. ISSN 0749-159X Fri, 05 Jun 2015 15:55:07 +0100 Whole cell tracking through the optimal control of geometric evolution laws http://sro.sussex.ac.uk/id/eprint/50657/ http://sro.sussex.ac.uk/id/eprint/50657/ Blazakis, Konstantinos N, Madzvamuse, Anotida, Reyes-Aldasoro, Constantino-Carlos, Styles, Vanessa and Venkataraman, Chandrasekhar (2015) Whole cell tracking through the optimal control of geometric evolution laws. Journal of Computational Physics, 297. pp. 495-514. ISSN 0021-9991 Wed, 03 Jun 2015 05:43:13 +0100 Numerical analysis of a mathematical model of multiphase tissue growth http://sro.sussex.ac.uk/id/eprint/53796/ http://sro.sussex.ac.uk/id/eprint/53796/ Asgir, Maryam (2015) Numerical analysis of a mathematical model of multiphase tissue growth. Masters thesis (MPhil), University of Sussex. Mon, 18 May 2015 09:47:22 +0100 Projected finite elements for reaction-diffusion systems on stationary closed surfaces http://sro.sussex.ac.uk/id/eprint/54034/ http://sro.sussex.ac.uk/id/eprint/54034/ Tuncer, N, Madzvamuse, A and Meir, A J (2015) Projected finite elements for reaction-diffusion systems on stationary closed surfaces. Applied Numerical Mathematics, 96. pp. 45-71. ISSN 0168-9274 Wed, 22 Apr 2015 09:47:41 +0100 Keratin dynamics: modeling the interplay between turnover and transport http://sro.sussex.ac.uk/id/eprint/53692/ http://sro.sussex.ac.uk/id/eprint/53692/ Portet, Stéphanie, Madzvamuse, Anotida, Chung, Andy, Leube, Rudolf E and Windoffer, Reinhard (2015) Keratin dynamics: modeling the interplay between turnover and transport. PLoS ONE, 10 (3). e0121090. ISSN 1932-6203 Tue, 24 Mar 2015 12:55:10 +0000 High-order compact schemes for Black-Scholes basket options http://sro.sussex.ac.uk/id/eprint/51499/ http://sro.sussex.ac.uk/id/eprint/51499/ Düring, Bertram and Heuer, Christof (2015) High-order compact schemes for Black-Scholes basket options. In: Progress in industrial mathematics at ECMI 2014. Mathematics in industry . Springer. ISBN 9783642427596 Fri, 13 Mar 2015 10:40:46 +0000 Global existence for two extended Navier-Stokes systems http://sro.sussex.ac.uk/id/eprint/53361/ http://sro.sussex.ac.uk/id/eprint/53361/ Ignatova, Mihaela, Iyer, Gautam, Kelliher, James P, Pego, Robert L and Zarnescu, Arghir D (2015) Global existence for two extended Navier-Stokes systems. Communications in Mathematical Sciences, 13 (1). pp. 249-267. ISSN 1539-6746 Fri, 13 Mar 2015 10:37:35 +0000 Stability of the melting hedgehog in the Landau-de Gennes theory of nematic liquid crystals http://sro.sussex.ac.uk/id/eprint/53360/ http://sro.sussex.ac.uk/id/eprint/53360/ Ignat, Radu, Nguyen, Luc, Slastikov, Valeriy and Zarnescu, Arghir (2015) Stability of the melting hedgehog in the Landau-de Gennes theory of nematic liquid crystals. Archive for Rational Mechanics and Analysis, 215 (2). pp. 633-673. ISSN 0003-9527 Fri, 27 Feb 2015 16:58:08 +0000 The relationship between gross domestic product (GDP), inflation, import and export from a statistical point of view http://sro.sussex.ac.uk/id/eprint/52579/ http://sro.sussex.ac.uk/id/eprint/52579/ Oshungade, Stephen Ayodele (2015) The relationship between gross domestic product (GDP), inflation, import and export from a statistical point of view. Doctoral thesis (PhD), University of Sussex. Mon, 16 Feb 2015 08:46:45 +0000 Stability analysis and simulations of coupled bulk-surface reaction–diffusion systems http://sro.sussex.ac.uk/id/eprint/52912/ http://sro.sussex.ac.uk/id/eprint/52912/ Madzvamuse, Anotida, Chung, Andy H W and Venkataraman, Chandrasekhar (2015) Stability analysis and simulations of coupled bulk-surface reaction–diffusion systems. Proceedings of the Royal Society A, 471 (2175). a20140546. ISSN 1364-5021 Fri, 13 Feb 2015 11:37:21 +0000 An optimal control approach to cell tracking http://sro.sussex.ac.uk/id/eprint/52916/ http://sro.sussex.ac.uk/id/eprint/52916/ Blazakis, K, Reyes-Aldasoro, C C, Styles, V, Venkataraman, C and Madzvamuse, A (2015) An optimal control approach to cell tracking. In: Louis, Alfred K, Arridge, Simon and Rundell, Bill (eds.) Proceedings of the Inverse Problems from Theory to Applications Conference (IPTA2014). IOP Publishing Ltd, pp. 74-77. ISBN 9780750311069 Fri, 09 Jan 2015 13:35:54 +0000 Converse theorems on contraction metrics for an equilibrium http://sro.sussex.ac.uk/id/eprint/52028/ http://sro.sussex.ac.uk/id/eprint/52028/ Giesl, Peter (2015) Converse theorems on contraction metrics for an equilibrium. Journal of Mathematical Analysis and Applications, 424 (2). pp. 1380-1403. ISSN 0022-247X Mon, 24 Nov 2014 12:15:59 +0000 A spectral perspective on excess volatility http://sro.sussex.ac.uk/id/eprint/51470/ http://sro.sussex.ac.uk/id/eprint/51470/ Livan, Giacomo, Alfarano, Simone, Milakovic, Mishael and Scalas, Enrico (2015) A spectral perspective on excess volatility. Applied Economics Letters, 22 (90). pp. 745-750. ISSN 1350-4851 Mon, 20 Oct 2014 12:59:13 +0100 Parameter identification problems in the modelling of cell motility http://sro.sussex.ac.uk/id/eprint/50659/ http://sro.sussex.ac.uk/id/eprint/50659/ Croft, Wayne, Elliott, Charles M, Ladds, Graham, Stinner, Björn, Venkataraman, Chandrasekhar and Weston, Cathryn (2015) Parameter identification problems in the modelling of cell motility. Journal of Mathematical Biology, 71 (2). pp. 399-436. ISSN 0303-6812 Mon, 20 Oct 2014 06:16:24 +0100 A new method for large time behavior of degenerate viscous Hamilton--Jacobi equations with convex Hamiltonians http://sro.sussex.ac.uk/id/eprint/50648/ http://sro.sussex.ac.uk/id/eprint/50648/ Cagnetti, Filippo, Gomes, Diogo, Mitake, Hiroyoshi and Tran, Hung V (2015) A new method for large time behavior of degenerate viscous Hamilton--Jacobi equations with convex Hamiltonians. Annales de l'Institut Henri Poincaré C, Analyse Non Linéaire, 32 (1). pp. 183-200. ISSN 0294-1449 Thu, 18 Sep 2014 13:31:13 +0100 Wealth distribution and the Lorenz curve: a finitary approach http://sro.sussex.ac.uk/id/eprint/50049/ http://sro.sussex.ac.uk/id/eprint/50049/ Scalas, Enrico, Radivojević, Tijana and Garibaldi, Ubaldo (2015) Wealth distribution and the Lorenz curve: a finitary approach. Journal of Economic Interaction and Coordination, 10 (1). pp. 79-89. ISSN 1860-711X Mon, 01 Sep 2014 08:40:43 +0100 Cross-diffusion-driven instability for reaction-diffusion systems: analysis and simulations http://sro.sussex.ac.uk/id/eprint/49662/ http://sro.sussex.ac.uk/id/eprint/49662/ Madzvamuse, Anotida, Ndakwo, Hussaini S and Barreira, Raquel (2015) Cross-diffusion-driven instability for reaction-diffusion systems: analysis and simulations. Journal of Mathematical Biology, 70 (4). pp. 709-743. ISSN 0303-6812 Tue, 05 Aug 2014 10:25:24 +0100 A discrete to continuum analysis of dislocations in nanowire heterostructures http://sro.sussex.ac.uk/id/eprint/49473/ http://sro.sussex.ac.uk/id/eprint/49473/ Lazzaroni, Giuliano, Palombaro, Mariapia and Schlömerkemper, Anja (2015) A discrete to continuum analysis of dislocations in nanowire heterostructures. Communications in Mathematical Sciences, 13 (5). pp. 1105-1133. ISSN 1539-6746 Tue, 24 Jun 2014 06:39:03 +0100 Exponential rate of convergence in current reservoirs http://sro.sussex.ac.uk/id/eprint/46253/ http://sro.sussex.ac.uk/id/eprint/46253/ De Masi, Anna, Presutti, Errico, Tsagkarogiannis, Dimitrios and Vares, Maria Eulalia (2015) Exponential rate of convergence in current reservoirs. Bernoulli, 21 (3). pp. 1844-1854. ISSN 1350-7265