Druzhkov, Kostya (PIMS postdoctoral fellow)

McAdam, Shawn (M.Sc. candidate)

Lightheart, Clara (undergraduate researcher)

Hanoun, Hakeem (undergraduate researcher)

Zhao, Peng

Yang, Zhengzheng

Ahmadpoortorkamani, Maryam, M.Sc. (2024), thesis "Extended SIR Models with Nonstandard Diffusion: Their Properties and Symmetry Analysis" [PDF]

Keller, Jason, M.Sc. (2022), thesis "Exact Equilibrium Solutions of the Magnetohydrodynamic Plasma Model" [PDF]

Tarayrah, Mahmood, Ph.D. (2022), thesis "Exact and Approximate Symmetries and
Approximate Conservation Laws of Differential Equations with a Small parameter" [PDF]

Agyemang, Samuel Opoku, M.Sc. (2019), thesis "Shear Wave Models in Linear and Nonlinear Elastic Materials" [PDF]

Mia, Abdus Sattar, M.Sc. (2015), thesis "Conservation Laws of a Nonlinear Incompressible Two-Fluid Model" [PDF]

St. Jean, Simon, M.Sc. (2014), thesis "Applications of Symmetries and Conservation Laws to the Study of Nonlinear Elasticity Equations" [PDF]

• Conference Poster: [PDF] presented at the CMSC-2014 conference, Saskatoon, Canada.
• Paper: A. C. and S. St. Jean. A comparison of conservation law construction approaches for the two-dimensional incompressible Mooney-Rivlin hyperelasticity model. J. Math. Phys. 56, 121505 (2015) [PDF]
• Paper: A. C., J.-F. Ganghoffer, and S. St.Jean. Fully non-linear wave models in fiber-reinforced anisotropic incompressible hyperelastic solids. International Journal of Non-Linear Mechanics 71 (2015) 8–21 [PDF]

Yang, Zhengzheng, Ph.D. (2013), thesis "Nonlocally Related Partial Differential Equation Systems, the Nonclassical Method and Applications" [PDF] (Co-supervisor: G. Bluman, UBC)

• Paper: Z. Yang and A. C., Some relations between symmetries of nonlocally related systems. J. Math. Phys. 55, 083514 (2014) [PDF]

Hoskins, Jeremy G., M.Sc. (2012), thesis "The application of symmetry methods and conservation laws to ordinary differential equations and a linear wave equation" [PDF]   (Co-supervisor: G. Bluman, UBC)

Olinov, Andrey, M.Sc. (2011), thesis "Symbolic Software for Symmetry Reduction and Computation of Invariant Solutions of Differential Equations" [PDF]

Korneeva, Daria, M.Sc. (2011), thesis "Numerical simulation of Compressible Gas Flow Coupled to Heat Conduction in Two Space Dimensions" [PDF]

Wan, Andy T.S., M.Sc (2010). thesis "Finding Conservation Laws of Partial Differential Equations" [PDF]   (Co-supervisor: G. Bluman, UBC)

 Chen, Cindy (2022) summer research student.

Pitzel, Brian NSERC USRA (2021) summer research student.

• Paper (co-authored): "Two approximate symmetry frameworks for nonlinear partial differential equations with a small parameter:Comparisons, relations, approximate solutions" [PDF]

Keller, Jason NSERC USRA (2019) summer research student.

• Paper (co-authored): "New exact plasma equilibria with axial and helical symmetry" [PDF]
• Poster: "Exact Axially and Helically Symmetric Magnetohydrodynamic Equilibria" [PDF]

• Poster: "Discrete Mathematical Modeling of Powder Bed 3D Printing Process" [PDF]

• Paper: V. Srivastava and A.C. Brownian dynamics simulations for the narrow escape problem in the unit sphere. Physical Review E 104.6 (2021): 064113. [PDF]
• Poster: "Brownian Dynamics Modelling for the Narrow Escape Problem" [PDF]

• Poster: "Energy-Minimizing Arrangements of Repelling Particles on the Sphere: Coulombic and Narrow Escape Potentials" [PDF]
• Award: 2nd place in UofS USRA student Poster Competition (2016).
• Paper: Ridgway, Wesley and A.C. Locally and globally optimal configurations of N particles on the sphere with applications in the narrow escape and narrow capture problems." Physical Review E 100.4 (2019): 042413. [PDF]
• Paper: Ridgway, Wesley and A.C. An iterative procedure for finding locally and globally optimal arrangements of particles on the unit sphere. Computer Physics Communications 233 (2018): 84-109. [PDF]

• Poster: "Nonlinear Dynamics of Viscous Fluids with Gas Bubbles" [PDF]
• Award: 3rd place in UofS USRA student Poster Competition (2016).
• Paper: Thiessen, Ryan and A.C. Nonlinear dynamics of a viscous bubbly fluid. Communications in Nonlinear Science and Numerical Simulation 73 (2019): 244-264. [PDF]

• Paper: A.C., C. Lee, and R. Naz. Radial waves in fiber-reinforced axially symmetric hyperelastic media. Communications in Nonlinear Science and Numerical Simulation 95 (2021): 105649. [PDF]
• Poster: "Shear Cylindrical Waves in the Framework of Finite Fiber-Reinforced Hyper- and Viscoelasticity: Applications to Blood Vessel Models" [PDF]

• Poster: "Mathematical Modelling of the Dynamics of a Viscous Fluid with Gas Bubbles" [PDF]

• Poster: "Narrow Escape Problems in Three-Dimensional Domains"  [PDF]
• Award: 2nd place in UofS USRA student Poster Competition (2013).
• Conference Poster: [PDF] presented at the 2013 CMS Winter Meeting, Ottawa.
• Paper: A. C. and D. Gomez. Asymptotic analysis of narrow escape problems in nonspherical three-dimensional domains. Physical Review E 91, 012137 (2015) [PDF]

Goertzen, Stephanie, UofS USTEP (2011) summer research student.

• Poster: "Exact Solutions of Ideal Plasma Equilibria" (2011) [PDF]

Zawada, Daniel, NSERC USRA (2011) summer research student.

• Poster: "Optimal Arrangements and Homogenization Limit for Traps on the Sphere" (2011) [PDF]
• Paper: A.C. and D. Zawada. Narrow-escape problem for the unit sphere: Homogenization limit, optimal arrangements of large numbers of traps, and the N^2 conjecture. Phys. Rev. E 87 (2013), 021131 [PDF]

• Poster: "Mathematical Modelling of Narrow Escape Problems"  [PDF]
• Paper: A.S. Reimer, A.C., A Matlab-based finite-difference solver for the Poisson problem with mixed Dirichlet–Neumann boundary conditions. Computer Physics Communications 184 (2012), 783–798 [PDF]
• Paper: A.C., A.S. Reimer, M. J. Ward, Mathematical Modeling and Numerical Computation of Narrow Escape Problems. Phys. Rev. E 85 (2012), 021131 [PDF]
• Award: 2nd place in UofS USRA student Poster Competition (2010).