Marcus R. Garvie

14 papers Journal 13Unranked 1
YearRankTypeTitle / Venue / Authors
2026 J jnl
A generalized colouring method for a parallelizable integer linear programming approach to polyomino tiling.
J. Comput. Sci.
Marcus R. Garvie, John Burkardt
2025 J jnl
Symmetry-Based Enumeration of Polyominoes on C-Coloured Checkerboards.
Symmetry
Marcus R. Garvie
2023 J jnl
An integer linear programming approach to solving the Eternity Puzzle.
Theor. Comput. Sci.
John Burkardt, Marcus R. Garvie
2022 J jnl
A New Algorithm Based on Colouring Arguments for Identifying Impossible Polyomino Tiling Problems.
Algorithms
Marcus R. Garvie, John Burkardt
2022 J jnl
A Parallelizable Integer Linear Programming Approach for Tiling Finite Regions of the Plane with Polyominoes.
Algorithms
Marcus R. Garvie, John Burkardt
2020 J jnl
A new mathematical model for tiling finite regions of the plane with polyominoes.
Contributions Discret. Math.
Marcus R. Garvie, John Burkardt
2017 J jnl
Finite element approximation of a spatially structured metapopulation PDE model.
Comput. Math. Appl.
Marcus R. Garvie, Jeff Morgan, Vandana Sharma
2017 J jnl
Numerical analysis of a first-order in time implicit-symplectic scheme for predator-prey systems.
Comput. Math. Appl.
Fasma Diele, Marcus R. Garvie, Catalin Trenchea
2014 J jnl
A three level finite element approximation of a pattern formation model in developmental biology.
Numerische Mathematik
Marcus R. Garvie, Catalin Trenchea
2014 J jnl
Identification of Space-Time Distributed Parameters in the Gierer-Meinhardt Reaction-Diffusion System.
SIAM J. Appl. Math.
Marcus R. Garvie, Catalin Trenchea
2010 J jnl
An efficient and robust numerical algorithm for estimating parameters in Turing systems.
J. Comput. Phys.
Marcus R. Garvie, Philip K. Maini, Catalin Trenchea
2007 — conf
Biomanipulation of food-webs in eutrophic lakes.
CDC
Marcus R. Garvie, Catalin Trenchea
2007 J jnl
Finite element approximation of spatially extended predator-prey interactions with the Holling type II functional response.
Numerische Mathematik
Marcus R. Garvie, Catalin Trenchea
2007 J jnl
Optimal Control of a Nutrient-Phytoplankton-Zooplankton-Fish System.
SIAM J. Control. Optim.
Marcus R. Garvie, Catalin Trenchea