Publications

Submitted Papers

  • [pdf] Jacobs, M.; Leger F. A fast approach to optimal transport: the back-and-forth method. May 2019
  • [pdf] Jacobs, M.; Kim I.; Meszaros A. Weak solutions to the Muskat problem with surface tension via optimal transport. May 2019
  • [pdf] Jacobs, M.; Walch O. A partial differential equations approach to defeating partisan gerrymandering. February 2019

Published and Accepted Papers

  • [pdf] Jacobs, M.; Leger, F.; Li, W.; Osher, O. Solving Large-Scale Optimization Problems with a Convergence Rate Independent of Grid Size. Accepted for publication in SIAM Journal on Numerical Analysis 2019.
  • [pdf] Jacobs, M.; Merkurjev, E.; Esedoglu, S. Auction dynamics: a volume constrained MBO scheme. Journal of Computational Physics , Volume 354, 1 February 2018, Pages 288-310.
  • [pdf] Esedoglu, S.; Jacobs, M. Convolution kernels and stability of threshold dynamics methods. SIAM Journal on Numerical Analysis , Volume 55 Issue 5, September 2017, Pages 2123- 2150.
  • [pdf] Jacobs, M. A fast MBO scheme for multiclass data classification. Accepted to the Sixth International Conference on Scale Space and Variational Methods in Computer Vision.
  • [pdf] Esedoglu, S.; Jacobs, M.; Zhang, P. Kernels with prescribed surface tension & mobility for threshold dynamics schemes. Journal of Computational Physics , Volume 337, 15 May 2017, Pages 62-83.