Publications

Preprints:

  1. Jean-David Benamou, Brittany D. Froese, and Adam M. Oberman.  Numerical solution of the second boundary value problem for the Monge-Ampère equation.  Submitted.
  2. Jean-David Benamou, Brittany D. Froese, and Adam M. Oberman.  Numerical solution of the optimal transportation problem using the Monge-Ampère equation.  Submitted.

Refereed publications:

  1. Brittany D. Froese and Adam M. Oberman.  Convergent filtered schemes for the Monge-Ampère partial differential equation.  SIAM Journal on Numerical Analysis, 51(1):423-444, 2013.
  2. Brittany D. Froese.  A numerical method for the elliptic Monge-Ampère equation with transport boundary conditions.  SIAM Journal on Scientific Computing, 34(3):A1432-A1459, 2012.
  3. Brittany D. Froese and Adam M. Oberman.  Convergent finite difference solvers for viscosity solutions of the elliptic Monge-Ampère equation in dimensions two and higher. SIAM Journal on Numerical Analysis, 49(4):1692-1714, 2011.
  4. Brittany D. Froese and Adam M. Oberman.  Fast finite difference solvers for singular solutions of the elliptic Monge-Ampère Equation.  Journal of Computational Physics, 230(3):818-834, 2011.
  5. Jean-David Benamou, Brittany D. Froese, and Adam M. Oberman.  Two numerical methods for the elliptic Monge-Ampère Equation.  ESAIM: Mathematical Modelling and Numerical Analysis, 44(4):737-758, 2010.
  6. Brittany D. Froese and Adam M. Oberman.  Numerical averaging of non-divergence structure elliptic operators.  Communications in Mathematical Sciences, 7(4):785-804, 2009.

Theses:

  1. Numerical methods for the elliptic Monge-Ampère equation and optimal transport, Ph.D. Thesis, Simon Fraser University, 2012.
  2. Numerical methods for two second order elliptic equations, Master's Thesis, Simon Fraser University, 2009.
  3. Homotopy analysis method for axisymmetric flow of a power law fluid past a stretching sheet, Bachelor's Thesis, Trinity Western University, 2007.