| Entropy viscosity method for nonlinear conservation laws JL Guermond, R Pasquetti, B Popov Journal of Computational Physics 230 (11), 4248-4267, 2011 | 397 | 2011 |
| Adaptive semidiscrete central-upwind schemes for nonconvex hyperbolic conservation laws A Kurganov, G Petrova, B Popov SIAM Journal on Scientific Computing 29 (6), 2381-2401, 2007 | 143 | 2007 |
| Invariant domains and first-order continuous finite element approximation for hyperbolic systems JL Guermond, B Popov SIAM Journal on Numerical Analysis 54 (4), 2466-2489, 2016 | 113 | 2016 |
| Viscous regularization of the Euler equations and entropy principles JL Guermond, B Popov SIAM Journal on Applied Mathematics 74 (2), 284-305, 2014 | 110 | 2014 |
| Second-order invariant domain preserving approximation of the Euler equations using convex limiting JL Guermond, M Nazarov, B Popov, I Tomas SIAM Journal on Scientific Computing 40 (5), A3211-A3239, 2018 | 97 | 2018 |
| A second-order maximum principle preserving Lagrange finite element technique for nonlinear scalar conservation equations JL Guermond, M Nazarov, B Popov, Y Yang SIAM Journal on Numerical Analysis 52 (4), 2163-2182, 2014 | 91 | 2014 |
| Implementation of the entropy viscosity method with the discontinuous Galerkin method V Zingan, JL Guermond, J Morel, B Popov Computer Methods in Applied Mechanics and Engineering 253, 479-490, 2013 | 88 | 2013 |
| New non-oscillatory central schemes on unstructured triangulations for hyperbolic systems of conservation laws I Christov, B Popov Journal of Computational Physics 227 (11), 5736-5757, 2008 | 80 | 2008 |
| Linear transport equations with discontinuous coefficients G Petrova, B Popov Communications in partial differential equations 24 (9-10), 1849-1873, 1999 | 69 | 1999 |
| Linear transport equations with discontinuous coefficients G Petrova, B Popov Communications in partial differential equations 24 (9-10), 1849-1873, 1999 | 69 | 1999 |
| Invariant domain preserving discretization-independent schemes and convex limiting for hyperbolic systems JL Guermond, B Popov, I Tomas Computer Methods in Applied Mechanics and Engineering 347, 143-175, 2019 | 68 | 2019 |
| The limit case of Bernstein’s operators with Jacobi-weights PE Parvanov, BD Popov Math. Balkanica 8 (2-3), 165-177, 1994 | 58 | 1994 |
| Invariant domains and second-order continuous finite element approximation for scalar conservation equations JL Guermond, B Popov SIAM Journal on Numerical Analysis 55 (6), 3120-3146, 2017 | 49 | 2017 |
| Fast estimation from above of the maximum wave speed in the Riemann problem for the Euler equations JL Guermond, B Popov Journal of Computational Physics 321, 908-926, 2016 | 49 | 2016 |
| From suitable weak solutions to entropy viscosity JL Guermond, R Pasquetti, B Popov Quality and Reliability of Large-Eddy Simulations II, 373-390, 2011 | 49 | 2011 |
| Stability analysis of explicit entropy viscosity methods for non-linear scalar conservation equations A Bonito, JL Guermond, B Popov Mathematics of Computation 83 (287), 1039-1062, 2014 | 38 | 2014 |
| Entropy–viscosity method for the single material Euler equations in Lagrangian frame JL Guermond, B Popov, V Tomov Computer Methods in Applied Mechanics and Engineering 300, 402-426, 2016 | 36 | 2016 |
| Second-order invariant domain preserving approximation of the compressible Navier–Stokes equations JL Guermond, M Maier, B Popov, I Tomas Computer Methods in Applied Mechanics and Engineering 375, 113608, 2021 | 30 | 2021 |
| Well-balanced second-order approximation of the shallow water equation with continuous finite elements P Azerad, JL Guermond, B Popov SIAM Journal on Numerical Analysis 55 (6), 3203-3224, 2017 | 30 | 2017 |
| A fast algorithm for solving first-order PDEs by L1-minimization JL Guermond, F Marpeau, B Popov Communications in mathematical Sciences 6 (1), 199-216, 2008 | 27 | 2008 |
Jean-Luc GuermondTexas A&M, Deparment of MathematicsVerified email at tamu.edu
