Adam M. Oberman
Adam M. Oberman
Professor, Department of Mathematics and Statistics, McGill University
Adresse e-mail validée de mcgill.ca - Page d'accueil
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Convergent difference schemes for degenerate elliptic and parabolic equations: Hamilton--Jacobi equations and free boundary problems
AM Oberman
SIAM Journal on Numerical Analysis 44 (2), 879-895, 2006
2252006
Numerical solution of the optimal transportation problem using the Monge–Ampère equation
JD Benamou, BD Froese, AM Oberman
Journal of Computational Physics 260, 107-126, 2014
197*2014
Wide stencil finite difference schemes for the elliptic Monge-Ampere equation and functions of the eigenvalues of the Hessian
AM Oberman
Discrete & Continuous Dynamical Systems-B 10 (1), 221, 2008
1522008
A convergent difference scheme for the infinity Laplacian: construction of absolutely minimizing Lipschitz extensions
A Oberman
Mathematics of computation 74 (251), 1217-1230, 2005
1492005
Numerical methods for the fractional Laplacian: A finite difference-quadrature approach
Y Huang, A Oberman
SIAM Journal on Numerical Analysis 52 (6), 3056-3084, 2014
1452014
Bulk Burning Rate in Passive–Reactive Diffusion
P Constantin, A Kiselev, A Oberman, L Ryzhik
Archive for rational mechanics and analysis 154 (1), 53-91, 2000
1422000
Two numerical methods for the elliptic Monge-Ampere equation
JD Benamou, BD Froese, AM Oberman
ESAIM: Mathematical Modelling and Numerical Analysis 44 (4), 737-758, 2010
1292010
Convergent finite difference solvers for viscosity solutions of the elliptic Monge-Ampere equation in dimensions two and higher
BD Froese, AM Oberman
SIAM J. Numer. Anal., 49 (4), 1692–1714, 2010
1252010
Deep relaxation: partial differential equations for optimizing deep neural networks
P Chaudhari, A Oberman, S Osher, S Soatto, G Carlier
Research in the Mathematical Sciences 5 (3), 1-30, 2018
1142018
Convergent filtered schemes for the Monge--Ampère partial differential equation
BD Froese, AM Oberman
SIAM Journal on Numerical Analysis 51 (1), 423-444, 2013
952013
Numerical methods for matching for teams and Wasserstein barycenters
G Carlier, A Oberman, E Oudet
ESAIM: Mathematical Modelling and Numerical Analysis 49 (6), 1621-1642, 2015
932015
The convex envelope is the solution of a nonlinear obstacle problem
A Oberman
Proceedings of the American Mathematical Society 135 (6), 1689-1694, 2007
902007
How to train your neural ODE: the world of Jacobian and kinetic regularization
C Finlay, JH Jacobsen, L Nurbekyan, A Oberman
International Conference on Machine Learning, 3154-3164, 2020
80*2020
Pricing early exercise contracts in incomplete markets
A Oberman, T Zariphopoulou
Computational management science 1 (1), 75-107, 2003
702003
Anisotropic total variation regularized l^ 1-approximation and denoising/deblurring of 2d bar codes
R Choksi, Y van Gennip, A Oberman
arXiv preprint arXiv:1007.1035, 2010
692010
A convergent monotone difference scheme for motion of level sets by mean curvature
AM Oberman
Numerische Mathematik 99 (2), 365-379, 2004
672004
An efficient linear programming method for optimal transportation
AM Oberman, Y Ruan
arXiv preprint arXiv:1509.03668, 2015
652015
Computing the Effective Hamiltonian Using a Variational Approach
AM Oberman, DA Gomes
SIAM journal on control and optimization 43 (3), 792-812, 2004
642004
Fast finite difference solvers for singular solutions of the elliptic Monge–Ampère equation
BD Froese, AM Oberman
Journal of Computational Physics 230 (3), 818-834, 2011
602011
The Dirichlet problem for the convex envelope
A Oberman, L Silvestre
Transactions of the American Mathematical Society 363 (11), 5871-5886, 2011
582011
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