1. Siddhartha Bishnu, Mark Petersen, and Bryan Quaife. On the Spatial and Temporal Order of Convergence of Hyperbolic PDEs. Journal of Computational Physics, 2021.
  2. Yana Bebieva, Kevin Speer, Liam White, Robert Smith, Gabrielle Mayans, and Bryan Quaife. Wind in a natural and artificial wildland fire fuel bed. Fire, 2021.
  3. Bryan Quaife, Ashley Gannon, and Y.-N. Young. Hydrodynamics of a Semipermeable Vesicle Under Flow and Confinement. Physical Review Fluids, 2021. [PDF]


  1. Yana Bebieva, Julia Oliveto, Bryan Quaife, Nick Skowronski, Warren E. Heilman, and Kevin Speer. Role of horizontal eddy diffusivity within the canopy on fire spread. Atmosphere 11, 2020. [PDF]
  2. Shang-Huan Chiu, M. N. J. Moore, and Bryan D. Quaife. Viscous Transport in Eroding Porous Media. Journal of Fluid Mechanics 893, 2020, (Cover Image) [PDF].
  3. Madhuparna Roy, Phong Tran, Tarik Dickens, and Bryan D. Quaife. Effects of geometry constraints and fiber orientation in field assisted extrusion-based processing. Additive Manufacturing 101022, 2020. [PDF]
  4. Lukas Bystricky, Sachin Shanbhag, and Bryan Quaife. Stable and contact-free time stepping for dense rigid particle suspensions. International Journal for Numerical Methods in Fluids 92(2):94-113, 2020. [PDF]
  5. Bryan Quaife, Shravan Veerapaneni, and Y.-N. Young. Hydrodynamics and rheology of a vesicle doublet suspension. Physical Review Fluids 4, 103601, 2019, (Editor's Suggestion). [PDF]
  6. M. Currie, K. Speer, J. K. Hiers, J.J. O'Brien, S. Goodrick, and B. Quaife. Pixel-Level Statistical Analyses of Prescribed Fire Spread. Canadian Journal of Forest Research 49(1):18-26, 2018. [PDF]
  7. Bryan D. Quaife and M. Nicholas J. Moore. A boundary-integral framework to simulate viscous erosion of a porous medium. Journal of Computational Physics 375:1-21, 2018. [PDF]
  8. Gokberk Kabacaoglu, Bryan Quaife, and George Biros. Low resolution simulations of vesicle suspensions in 2D. Journal of Computational Physics 357:43-77, 2018. [PDF]
  9. Bryan Quaife, Pieter Coulier, and Eric Darve. An efficient preconditioner for the fast simulation of a 2D Stokes flow in porous media. International Journal for Numerical Methods in Engineering 113:561-580, 2018. [PDF]
  10. Alan Lindsay, Bryan Quaife, and Laura Wendelberger. A boundary integral equation method for mode elimination and vibration confinement in thin plates with clamped points. Advances in Computational Mathematics 44(4):1249-1273, 2018. [PDF]
  11. Pietro de Anna, Bryan Quaife, George Biros, and Ruben Juanes. Prediction of velocity distribution from pore structure in simple porous media. Physical Review Fluids 2, 124103, 2017. [PDF]
  12. Zhicheng Long, Bryan Quaife, Hanna Salman, and Zoltán N. Oltvai. Cell-cell communication enhances bacterial chemotaxis toward external attractants. Scientific Reports 7:12855, 2017. [PDF]
  13. Gokberk Kabacaoglu, Bryan Quaife, and George Biros. Quantification of mixing in vesicle suspensions using numerical simulations in two dimensions. Physics of Fluids 27:021901, 2017. [PDF]
  14. Benjamin Ong, Andrew J. Christlieb, and Bryan Quaife. A New Family of Regularized Kernels for the Harmonic Oscillator. Journal of Scientific Computing 71(3):1212-1237, 2017. [PDF]
  15. M.C. Kropinski, N. Nigam, and B. Quaife. Integral equation methods for the Yukawa-Beltrami equation on the sphere. Advances in Computational Mathematics, 42(2):469-488, 2016. [PDF]
  16. Bryan Quaife and George Biros. Adaptive Time Stepping for Vesicle Suspensions. Journal of Computational Physics, 306:478-499, 2016. [PDF]
  17. Bryan Quaife and George Biros. On preconditioners for the Laplace double-layer in 2D. Numerical Linear Algebra with Applications, 22:101-122, 2015. [PDF]
  18. Bryan Quaife and George Biros. High-order adaptive time stepping for vesicle suspensions with viscosity contrast. IUTAM Symposium on Dynamics of Capsules, Vesicles and Cells in Flow, 16:89-98, 2015. [PDF]
  19. Bryan Quaife and George Biros. High-volume fraction simulations of two-dimensional vesicle suspensions. Journal of Computational Physics, 274:245-267, 2014. [PDF]
  20. Shidong Jiang, Mary Catherine A. Kropinski, Bryan D. Quaife. Second Kind Integral Equation Formulation for the Modified Biharmonic Equation and its Applications. Journal of Computational Physics, 249:113-126, 2013. [PDF]
  21. Mary-Catherine A. Kropinski and Bryan D. Quaife. Fast integral equations methods for Rothe's method applied to the isotropic heat equation. Computer and Mathematics with Applications, 61:2346-2446, 2011. [PDF]
  22. Mary-Catherine A. Kropinski and Bryan D. Quaife. Fast integral equation methods for the modified Helmholtz equation. Journal of Computational Physics, 230:425-434, 2011. [PDF]

Conference Proceedings:

  1. Bryan D. Quaife and Mary-Catherine A. Kropinski. Fast Integral Equation Methods for the Modified Helmholtz Equation. 10th International Conference on Mathematical and Numerical Aspects of Waves, 2011. [PDF]


  1. Fast Integral Equation Methods for the Modified Helmholtz Equation, 2011. [Ph.D. Thesis]
  2. An Adaptive Local Scaling Function Representation, 2006. [M.Sc. Thesis]