- [pdf] N. Garcia Trillos, M. Jacobs, J. Kim, The Multimarginal Optimal Transport Formulation of Adversarial Multiclass Classification April 2022
- [pdf] M. Jacobs, I. Kim, J. Tong Tumor Growth with Nutrients: Regularity and Stability April 2022
- [pdf] M. Jacobs, Existence of solutions to reaction cross diffusion systems August 2021
- [pdf] W. Gangbo, M. Jacobs, I. Kim, Well-posedness and regularity for a polyconvex energy November 2020
- [pdf] Jacobs, M.; Walch O. A partial differential equations approach to defeating partisan gerrymandering. February 2019
- [pdf] Jacobs, M.; Kim, I; Tong, J. The L^1 contraction principle in optimal transport. Annali Scuola Normale Superiore, July 2021
- [pdf] Liu, S; Jacobs, M; Li, W; Nurbekyan, L; Osher, S. Computational nonlocal mean field games with applications. SIAM Journal on Numerical Analysis, July 2021
- [pdf] Jacobs, M.; Kim, I; Tong, J. Darcy's law with a source term. Archive for Rational Mechanics and Analysis, March 2021
- [pdf] M. Jacobs, W. Lee, and F. Leger, The back-and-forth method for Wasserstein gradient flows ESAIM:COCV, February 2021.
- [pdf] M. Jacobs, X. Zhou, S. Huang, M. Marszewski, L. Pilon,
S. Osher, S. Kodambaka, S. Tolbert, and J. Marian, Demonstration of room temperature rectification in tapered-channel thermal diodes through confinement-induced liquid-solid phase change Journal of Applied Physics, January 2021.
- [pdf] C. Wu, B. Wang, J. de Rutte, M. Ouyang, Alexis Joo, M. Jacobs, K. Ha, A. Bertozzi, D. Di Carlo Monodisperse drops templated by 3D-structured microparticles. Science Advances, November 2020.
- [pdf] Jacobs, M.; Leger F. A fast approach to optimal transport: the back-and-forth method. Numerische Mathematik September 2020
- [pdf] Jacobs, M.; Kim I.; Meszaros A. Weak solutions to the Muskat problem with surface tension via optimal transport. Archive for Rational Mechanics and Analysis, October 2020
- [pdf] Jacobs, M.; Leger, F.; Li, W.; Osher, O. Solving Large-Scale Optimization Problems with a Convergence Rate Independent of Grid Size. SIAM Journal on Numerical Analysis , Volume 57 Issue 3, May 2019, Pages 1100–1123.
- [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.