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Journal Articles
- 2023
[j11]John Burkardt, Marcus R. Garvie
:
An integer linear programming approach to solving the Eternity Puzzle. Theor. Comput. Sci. 975: 114138 (2023)- 2022
- [j10]Marcus R. Garvie, John Burkardt:
A New Algorithm Based on Colouring Arguments for Identifying Impossible Polyomino Tiling Problems. Algorithms 15(2): 65 (2022) - [j9]Marcus R. Garvie, John Burkardt:
A Parallelizable Integer Linear Programming Approach for Tiling Finite Regions of the Plane with Polyominoes. Algorithms 15(5): 164 (2022) - 2020
- [j8]Marcus R. Garvie, John Burkardt:
A new mathematical model for tiling finite regions of the plane with polyominoes. Contributions Discret. Math. 15(2): 95-131 (2020) - 2017
- [j7]Marcus R. Garvie, Jeff Morgan, Vandana Sharma:
Finite element approximation of a spatially structured metapopulation PDE model. Comput. Math. Appl. 74(5): 934-947 (2017) - [j6]Fasma Diele, Marcus R. Garvie, Catalin Trenchea:
Numerical analysis of a first-order in time implicit-symplectic scheme for predator-prey systems. Comput. Math. Appl. 74(5): 948-961 (2017) - 2014
- [j5]Marcus R. Garvie, Catalin Trenchea:
A three level finite element approximation of a pattern formation model in developmental biology. Numerische Mathematik 127(3): 397-422 (2014) - [j4]Marcus R. Garvie, Catalin Trenchea:
Identification of Space-Time Distributed Parameters in the Gierer-Meinhardt Reaction-Diffusion System. SIAM J. Appl. Math. 74(1): 147-166 (2014) - 2010
- [j3]Marcus R. Garvie, Philip K. Maini, Catalin Trenchea:
An efficient and robust numerical algorithm for estimating parameters in Turing systems. J. Comput. Phys. 229(19): 7058-7071 (2010) - 2007
- [j2]Marcus R. Garvie, Catalin Trenchea:
Finite element approximation of spatially extended predator-prey interactions with the Holling type II functional response. Numerische Mathematik 107(4): 641-667 (2007) - [j1]Marcus R. Garvie, Catalin Trenchea:
Optimal Control of a Nutrient-Phytoplankton-Zooplankton-Fish System. SIAM J. Control. Optim. 46(3): 775-791 (2007)
Conference and Workshop Papers
- 2007
- [c1]Marcus R. Garvie, Catalin Trenchea:
Biomanipulation of food-webs in eutrophic lakes. CDC 2007: 3460-3465
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