{"id":14,"date":"2013-06-10T15:57:47","date_gmt":"2013-06-10T19:57:47","guid":{"rendered":"http:\/\/math.cos.ucf.edu\/~bmoore\/wp\/?page_id=14"},"modified":"2024-12-06T15:51:07","modified_gmt":"2024-12-06T20:51:07","slug":"publications","status":"publish","type":"page","link":"https:\/\/sciences.ucf.edu\/math\/bmoore\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"<p><strong>Refereed Mathematics Journal Articles<\/strong><\/p>\n<ul>\n<li>F. McIntosh, L. Amirzadeh, and B.E. Moore, <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0893965924004075?via%3Dihub\">Structure-preserving exponential time differencing methods for modeling Josephson Junctions<\/a>, <em>Applied Mathematics Letters 162<\/em>, 2025<\/li>\n<li>B.E. Moore, <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s10915-021-01468-1\">Exponential integrators based on discrete gradients for linearly damped-driven Poisson systems<\/a>, <em>Journal of Scientific Computing<\/em>, 87(56), 2021.<\/li>\n<li>A. Bhatt and B.E. Moore, <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/abs\/pii\/S0377042718307283\">Ex<\/a><a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0377042718307283?via%3Dihub\">ponential Integrators Preserving Local Conservation Laws of PDEs with Time-Dependent Damping\/Driving Forces<\/a>, <em>Journal of Computational and Applied Mathematics, <\/em>352:341-351, 2019.<\/li>\n<li>B.E. Moore, <a href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0377042717301632\">Multi-Conformal-Symplectic PDEs and Discretizations<\/a>, <em>Journal of Computational and Applied Mathematics<\/em>, 323:1-15, 2017.<\/li>\n<li>A. Bhatt and B.E. Moore, <a href=\"http:\/\/epubs.siam.org\/doi\/abs\/10.1137\/16M1071171\">Structure-Preserving Exponential Runge-Kutta Methods<\/a>, <em>SIAM Journal on Scientific Computing<\/em>, 39(2):A593-A612, 2017.<\/li>\n<li>E. Lydon and B.E. Moore, <a href=\"http:\/\/www.tandfonline.com\/doi\/full\/10.1080\/10236198.2016.1255209\">Propagation Failure of Fronts in Discrete Inhomogeneous Media with a Sawtooth Nonlinearity<\/a>, <em>Journal of Difference Equations and Applications<\/em>, 22(12):1930-1947, 2016.<\/li>\n<li>F. McDonald, R.I. McLachlan, B.E. Moore, and G.R.W. Quispel, <a href=\"http:\/\/arxiv.org\/pdf\/1510.07765.pdf\">Traveling Wave Solutions of Multisymplectic Discretizations of Nonlinear Wave Equations<\/a>, <em>Journal of Difference Equations and Applications<\/em>, 22(7):913-940, 2016.<\/li>\n<li>A. Bhatt, D. Floyd, and B.E. Moore, <a href=\"http:\/\/link.springer.com\/article\/10.1007%2Fs10915-015-0062-z#page-1\">Second Order Conformal Symplectic Schemes for Damped Hamiltonian Systems<\/a>, <em>Journal of Scientific Computing<\/em>, 66(3):1234-1259, 2016.<\/li>\n<li>B.E. Moore and J.M. Segal, <a href=\"http:\/\/www.tandfonline.com\/doi\/full\/10.1080\/10236198.2013.800868\">Stationary Bistable Pulses in Discrete Inhomogeneous Media<\/a>, <em>Journal of Difference Equations and Applications<\/em>, 20(1):1-23, 2014.<\/li>\n<li>B.E. Moore, L. Norena, and C. Schober, <a href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0021999112004561\">Conformal Conservation Laws and Geometric Integration for Damped Hamiltonian PDEs<\/a>, <em>Journal of Computational Physics<\/em>, 232(1):214-233, 2013.<\/li>\n<li>A.R. Humphries, B.E. Moore and E.S. Van Vleck, <a href=\"http:\/\/epubs.siam.org\/action\/showAbstract?page=1374&amp;volume=71&amp;issue=4&amp;journalCode=smjmap\">Front Solutions for Bistable Differential-Difference Equations with Inhomogeneous Diffusion<\/a>, <em>SIAM Journal on Applied Mathematics<\/em>, 71(4):1374-1400, 2011.<\/li>\n<li>B.E. Moore, <a href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0378475409001748\">Conformal Multi-Symplectic Integration Methods for Forced-Damped Semi-Linear Wave Equations<\/a>, <em>Mathematics and Computers in Simulation<\/em>, 80:20-28, 2009.<\/li>\n<li>J. Frank, B.E. Moore and S. Reich, <a href=\"http:\/\/epubs.siam.org\/action\/showAbstract?page=260&amp;volume=28&amp;issue=1&amp;journalCode=sjoce3\">Linear PDEs and Numerical Methods that Preserve a Multi-Symplectic Conservation Law<\/a>, <em>SIAM Journal on Scientific Computing<\/em>, 28:260-277, 2006.<\/li>\n<li>S. Maier-Paape, B.E. Moore, and E.S. Van Vleck, <a href=\"https:\/\/sciences.ucf.edu\/math\/bmoore\/wp-content\/uploads\/sites\/14\/2013\/06\/sdch02.pdf\">Spinodal Decomposition for Spatially Discrete Cahn-Hilliard Equations<\/a>, <em>Dynamics of Continuous Discrete and Impulsive Systems<\/em>, 12:529-554, 2005.<\/li>\n<li>B.E. Moore and S. Reich, <a href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0167739X02001668\">Multi-Symplectic Integration Methods for Hamiltonian PDEs<\/a>, <em>Future Generation Computer Systems<\/em>, 19:395-402, 2003.<\/li>\n<li>B.E. Moore and S. Reich, <a href=\"http:\/\/link.springer.com\/article\/10.1007\/s00211-003-0458-9#page-1\">Backward Error Analysis for Multi-Symplectic Integrators<\/a>, <em>Numerische Mathematik<\/em>, 95:625-652, 2003.<\/li>\n<\/ul>\n<p><strong>Refereed Computer Science Articles<br \/>\n<\/strong><\/p>\n<ul>\n<li>B.E. Moore, S. Ali, R. Mehran, and M. Shah, <a href=\"http:\/\/cacm.acm.org\/magazines\/2011\/12\/142547-visual-crowd-surveillance-through-a-hydrodynamics-lens\/fulltext\">Visual Crowd Surveillance Through a Hydrodynamics Lens<\/a>, <em>Communications of the ACM<\/em>, 54(12):64-73, 2011.<\/li>\n<li>B. Solmaz, B.E. Moore, and M. Shah, <a href=\"http:\/\/crcv.ucf.edu\/papers\/pamiLatest.pdf\">Identifying Behaviors in Crowded Scenes through Stability Analysis for Dynamical Systems<\/a>, <em>IEEE Transactions on Pattern Analysis and Machine Intelligence<\/em>, 34(10):2064-2070, 2012.<\/li>\n<li>R. Mehran, B.E. Moore, and M. Shah, <a href=\"http:\/\/link.springer.com\/chapter\/10.1007\/978-3-642-15558-1_32#page-1\">A Streakline Representation of Flow in Crowded Scenes<\/a>, ECCV, 2010.<\/li>\n<li>S. Wu, B.E. Moore, and M. Shah, <a href=\"http:\/\/ieeexplore.ieee.org\/xpls\/abs_all.jsp?arnumber=5539882&amp;tag=1\">Chaotic Invariants of Lagrangian Particle Trajectories for Anomaly Detection in Crowded Scenes<\/a>, CVPR, 2010.<\/li>\n<\/ul>\n<p><strong>Refereed Education Articles<\/strong><\/p>\n<ul>\n<li>L.A. Brooks, S.B. Bush, J.K. Dixon, M.B. Butler, B.E. Moore, T. Rutledge, Empowering K-8 mathematics teachers to catalyze change, Paper presented at the International Consortium for Research in Science and Mathematics Education, 2022.<\/li>\n<li>M.A. Dagley, M. Gill, E. Saitta, B.E. Moore, J. Chini, and X. Li, <a href=\"https:\/\/digitalcommons.georgiasouthern.edu\/stem_proceedings\/vol2\/iss1\/8\/\">Using active learning strategies in calculus to improve student learning and influence mathematics department cultural change<\/a>, Proceedings of the Interdisciplinary STEM Teaching and Learning Conference: Vol. 2 , Article 8, 2018.<\/li>\n<\/ul>\n<p><strong>Article Preprints<\/strong><\/p>\n<ul>\n<li>M. Gill, K. Philip, E. Saitta, and B.E. Moore, Changing the culture of a university math department: An ecological perspective, 2020.<\/li>\n<li>B.E. Moore, E. Saitta, M. Gill, M.A. Dagley, J.J. Chini, X. Li, Impact on a university mathematics department from a two-year professional development intervention for calculus instruction, under review, 2021.<\/li>\n<\/ul>\n<p><strong>Academic Reports<\/strong><\/p>\n<ul>\n<li>A Modified Equations Approach for Multi-Symplectic Integration Methods (<a href=\"http:\/\/www.math.ucf.edu\/%7Ebmoore\/papers\/thmain.ps.gz\">ps.gz<\/a> or <a href=\"http:\/\/www.math.ucf.edu\/%7Ebmoore\/papers\/thmain.pdf\">pdf<\/a>), Ph.D. Thesis, University of Surrey, 2003.<\/li>\n<li>Multi-Symplectic Integrators and Discrete Conservation Laws for Hamiltonian PDEs, Ph.D. Transfer Report, University of Surrey, 2000.<\/li>\n<li>Spinodal Decomposition for Spatially Discrete Cahn-Hilliard Equations, M.S. Thesis, Colorado School of Mines, 1999.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Refereed Mathematics Journal Articles F. McIntosh, L. Amirzadeh, and B.E. Moore, Structure-preserving exponential time differencing methods for modeling Josephson Junctions, Applied Mathematics Letters 162, 2025 B.E. Moore, Exponential integrators based <a class=\"more-link\" href=\"https:\/\/sciences.ucf.edu\/math\/bmoore\/publications\/\">Continue Reading &rarr;<\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"parent":0,"menu_order":3,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-14","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/sciences.ucf.edu\/math\/bmoore\/wp-json\/wp\/v2\/pages\/14","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sciences.ucf.edu\/math\/bmoore\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sciences.ucf.edu\/math\/bmoore\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sciences.ucf.edu\/math\/bmoore\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/sciences.ucf.edu\/math\/bmoore\/wp-json\/wp\/v2\/comments?post=14"}],"version-history":[{"count":5,"href":"https:\/\/sciences.ucf.edu\/math\/bmoore\/wp-json\/wp\/v2\/pages\/14\/revisions"}],"predecessor-version":[{"id":300,"href":"https:\/\/sciences.ucf.edu\/math\/bmoore\/wp-json\/wp\/v2\/pages\/14\/revisions\/300"}],"wp:attachment":[{"href":"https:\/\/sciences.ucf.edu\/math\/bmoore\/wp-json\/wp\/v2\/media?parent=14"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}