Ordered upwind methods for static Hamilton--Jacobi equations: Theory and algorithms JA Sethian, A Vladimirsky SIAM Journal on Numerical Analysis 41 (1), 325-363, 2003 | 476 | 2003 |
Fast methods for the Eikonal and related Hamilton–Jacobi equations on unstructured meshes JA Sethian, A Vladimirsky Proceedings of the National Academy of Sciences 97 (11), 5699-5703, 2000 | 408 | 2000 |
A survey of methods for computing (un) stable manifolds of vector fields B Krauskopf, HM Osinga, EJ Doedel, ME Henderson, J Guckenheimer, ... International Journal of Bifurcation and Chaos 15 (03), 763-791, 2005 | 368 | 2005 |
Ordered upwind methods for static Hamilton–Jacobi equations JA Sethian, A Vladimirsky Proceedings of the National Academy of Sciences 98 (20), 11069-11074, 2001 | 258 | 2001 |
The invariant constrained equilibrium edge preimage curve method for the dimension reduction of chemical kinetics Z Ren, SB Pope, A Vladimirsky, JM Guckenheimer The Journal of chemical physics 124 (11), 2006 | 177 | 2006 |
A fast method for approximating invariant manifolds J Guckenheimer, A Vladimirsky SIAM Journal on Applied Dynamical Systems 3 (3), 232-260, 2004 | 97 | 2004 |
Fast two-scale methods for eikonal equations A Chacon, A Vladimirsky SIAM Journal on Scientific Computing 34 (2), A547-A578, 2012 | 86 | 2012 |
Optimizing adaptive cancer therapy: dynamic programming and evolutionary game theory M Gluzman, JG Scott, A Vladimirsky Proceedings of the Royal Society B 287 (1925), 20192454, 2020 | 82 | 2020 |
An efficient method for multiobjective optimal control and optimal control subject to integral constraints A Kumar, A Vladimirsky Journal of Computational Mathematics, 517-551, 2010 | 63 | 2010 |
Application of the ICE-PIC method for the dimension reduction of chemical kinetics coupled with transport Z Ren, SB Pope, A Vladimirsky, JM Guckenheimer Proceedings of the Combustion Institute 31 (1), 473-481, 2007 | 61 | 2007 |
First-break traveltime tomography with the double-square-root eikonal equation S Li, A Vladimirsky, S Fomel Geophysics 78 (6), U89-U101, 2013 | 47 | 2013 |
Homogenization of metric Hamilton–Jacobi equations AM Oberman, R Takei, A Vladimirsky Multiscale Modeling & Simulation 8 (1), 269-295, 2009 | 46 | 2009 |
A parallel two-scale method for eikonal equations A Chacon, A Vladimirsky SIAM Journal on Scientific Computing 37 (1), A156-A180, 2015 | 39 | 2015 |
Static PDEs for time-dependent control problems A Vladimirsky Interfaces and Free Boundaries 8 (3), 281-300, 2006 | 36 | 2006 |
Ordered upwind methods for hybrid control JA Sethian, A Vladimirsky International Workshop on Hybrid Systems: Computation and Control, 393-406, 2002 | 32 | 2002 |
Label-setting methods for multimode stochastic shortest path problems on graphs A Vladimirsky Mathematics of Operations Research 33 (4), 821-838, 2008 | 29 | 2008 |
Causal domain restriction for Eikonal equations Z Clawson, A Chacon, A Vladimirsky SIAM Journal on Scientific Computing 36 (5), A2478-A2505, 2014 | 26 | 2014 |
Fast methods for static Hamilton-Jacobi partial differential equations AB Vladimirsky University of California, Berkeley, 2001 | 25 | 2001 |
Probabilistic planning with non-linear utility functions and worst-case guarantees S Ermon, C Gomes, B Selman, A Vladimirsky Proceedings of the 11th International Conference on Autonomous Agents and …, 2012 | 23 | 2012 |
Optimal control with budget constraints and resets R Takei, W Chen, Z Clawson, S Kirov, A Vladimirsky SIAM Journal on Control and Optimization 53 (2), 712-744, 2015 | 21 | 2015 |