| An upwind differencing scheme for the equations of ideal magnetohydrodynamics M Brio, CC Wu Journal of computational physics 75 (2), 400-422, 1988 | 1077 | 1988 |
| Two-dimensional Riemann solver for Euler equations of gas dynamics M Brio, AR Zakharian, GM Webb Journal of Computational Physics 167 (1), 177-195, 2001 | 123 | 2001 |
| Mach reflection for the two-dimensional Burgers equation M Brio, JK Hunter Physica D: Nonlinear Phenomena 60 (1-4), 194-207, 1992 | 98 | 1992 |
| Weak shock reflection JK Hunter, M Brio Journal of Fluid Mechanics 410, 235-261, 2000 | 91 | 2000 |
| The von Neumann paradox in weak shock reflection AR Zakharian, M Brio, JK Hunter, GM Webb Journal of Fluid Mechanics 422, 193-205, 2000 | 71 | 2000 |
| Generalization of the FDTD algorithm for simulations of hydrodynamic nonlinear Drude model J Liu, M Brio, Y Zeng, AR Zakharian, W Hoyer, SW Koch, JV Moloney Journal of Computational Physics 229 (17), 5921-5932, 2010 | 48 | 2010 |
| FDTD based second-order accurate local mesh refinement method for Maxwell's equations in two space dimensions M Brio, JV Moloney, AR Zakharian Communications in Mathematical Sciences 2 (3), 497-513, 2004 | 39 | 2004 |
| Rotationally invariant hyperbolic waves M Brio, JK Hunter Communications on pure and applied mathematics 43 (8), 1037-1053, 1990 | 37 | 1990 |
| Numerical time-dependent partial differential equations for scientists and engineers M Brio, GM Webb, AR Zakharian Academic Press, 2010 | 36 | 2010 |
| Multimode interference in circular step-index fibers studied with the mode expansion approach H Li, M Brio, L Li, A Schülzgen, N Peyghambarian, JV Moloney JOSA B 24 (10), 2707-2720, 2007 | 34 | 2007 |
| Application of Weeks method for the numerical inversion of the Laplace transform to the matrix exponential M Brio, PO Kano, JV Moloney Communications in Mathematical Sciences 3 (3), 335-372, 2005 | 31 | 2005 |
| Wave interactions in magnetohydrodynamics, and cosmic-ray-modified shocks GM Webb, A Zakharian, M Brio, GP Zank Journal of plasma physics 61 (2), 295-346, 1999 | 26 | 1999 |
| Overlapping Yee FDTD method on nonorthogonal grids J Liu, M Brio, JV Moloney Journal of Scientific Computing 39, 129-143, 2009 | 24 | 2009 |
| Characteristic fields for the equations of magnetohydrodynamics M Brio, CC Wu Nonstrictly Hyperbolic Conservation laws, American Mathematical Society …, 1987 | 24 | 1987 |
| Second-order accurate FDTD space and time grid refinement method in three space dimensions AR Zakharian, M Brio, C Dineen, JV Moloney IEEE Photonics Technology Letters 18 (11), 1237-1239, 2006 | 22 | 2006 |
| Exponential time-differencing with embedded Runge–Kutta adaptive step control P Whalen, M Brio, JV Moloney Journal of Computational Physics 280, 579-601, 2015 | 20 | 2015 |
| Stability of 2D FDTD algorithms with local mesh refinement for Maxwell's equations AR Zakharian, M Brio, C Dineen, JV Moloney | 20 | 2006 |
| Solitary waves, steepening and initial collapse in the Maxwell–Lorentz system MP Sørensen, M Brio, GM Webb, JV Moloney Physica D: Nonlinear Phenomena 170 (3-4), 287-303, 2002 | 20 | 2002 |
| Transformation optics based local mesh refinement for solving Maxwellʼs equations J Liu, M Brio, JV Moloney Journal of Computational Physics 258, 359-370, 2014 | 19 | 2014 |
| Subpixel smoothing finite-difference time-domain method for material interface between dielectric and dispersive media J Liu, M Brio, JV Moloney Optics letters 37 (22), 4802-4804, 2012 | 19 | 2012 |
