Study abroad experience
2016 and 2018: Mathematics of Sustainable Systems
2016 and 2018: Mathematics of Sustainable Systems
Perspectives on Mathematics, Analytic Geometry and Calculus A, Engineering, Mathematics I, Engineering Mathematics III, Algorithmic and Numerical Solution of Differential Equations, Advanced Calculus, Contemporary Applications of Mathematics, Partial Differential Equations
Introduction to Applied Mathematics I, Introduction to Applied Mathematics II, Finite Difference Methods for Partial Differential Equations, Introduction to Discretization, Particle Methods (Special Topic)
Published in SIAM Journal on Scientific Computation, 1996
This paper advanced a new type of vortex method, previously thought to be divergent, and proved that it was convergent.
Recommended citation: L. F. Rossi. Resurrecting Core Spreading Vortex Methods: A Scheme that is both Deterministic and Convergent. SIAM Journal on Scientific Computing, 17 (2), pp. 370-397. 1996.
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Published in Swarm Intelligence, 2011
This work with graduate students Ke Li and Claudio Torres developed and analyzed a biologically-inspired routing protocol for sensor actor networks that is based on Physarum polycephalum.
Recommended citation: Ke Li, Claudio E. Torres, Kyle Thomas, Louis F. Rossi and Chien-Chung Shen. Slime mold inspired routing protocols for wireless sensor networks. Swarm Intelligence. 5 (3-4): pp. 183-223. 2011.
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Published in PloS one, 2012
This work with graduate student Jen Miller and colleagues at CSIRO in Australia advanced a novel information theoretic characterization of information transfer is swarms.
Recommended citation: X. R. Wang, J. M. Miller, J. T. Lizier, M. Prokopenko, L. F. Rossi. Quantifying and tracing information cascades in swarms. PloS one 7(7). p. e40084. 2012.
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Published in 2012 IEEE Sixth International Conference on Self-Adaptive and Self-Organizing Systems (SASO 2012), 2012
Swarms can have leaders with special information, but what if individual members of swarm have no knowledge of who the leaders are?
Recommended citation: Jennifer Miller, L. F. Rossi, Hao Luan and Chien-Chung Shen. The Role of Memory in Stabilizing Swarms 2012 IEEE Sixth International Conference on Self-Adaptive and Self-Organizing Systems (SASO 2012), pp. 21-28. Lyon, France. 10-14 September 2012.
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Published in 2013 IEEE Sixth International Conference on Self-Adaptive and Self-Organizing Systems (SASO 2013), 2013
Swarms can have leaders with special information, but what if individual members of swarm have no knowledge of who the leaders are?
Recommended citation: Y. Sun, L. F. Rossi and C-C. Shen. Modeling and Analyzing Large Swarms with Covert Leaders 2013 IEEE Sixth International Conference on Self-Adaptive and Self-Organizing Systems (SASO 2013). 9-13 September 2013. Philadelphia PA. Pp. 169-178. 2013.
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Published in European Physical Journal Special Topics, 2016
This was work with graduate students Michael Mazzoleni, Tim Antonelli along with my colleague marine scientist Kathy Coyne.
Recommended citation: MJ Mazzoleni, T. Antonelli, KJ Coyne and Louis F. Rossi. Simulation and Analysis of a model dinoflagellate predator-prey system. European Physical Journal Special topics, Volume 224, pp 3257-3270. 2016.
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Published in IMA Journal of Applied Mathematics, 2023
This work with graduate student Hansen Pei developed and analyzed a model for the motion of prey plankton influenced by toxin producing plankton like Karlodinium veneficum.
Recommended citation: H. Pei, PW Fok, L F Rossi Stochastic modelling of Karlotoxin influence on prey. IMA Journal of Applied Mathematics 88, 837-866. 2023.
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Undergraduate course, University 1, Department, 2014
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Undergraduate course, University 1, Department, 2014
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Undergraduate course, University 1, Department, 2014
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Workshop, University 1, Department, 2015
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, , 1900
Perspectives on Mathematics, Analytic Geometry and Calculus A, Engineering Mathematics I, Engineering Mathematics III, Algorithmic and Numerical Solution of Differential Equations, Advanced Calculus, Contemporary Applications of Mathematics, Partial Differential Equations