| Experimental demonstration of chaotic instability in biological nitrification DW Graham, CW Knapp, ES Van Vleck, K Bloor, TB Lane, CE Graham The ISME journal 1 (5), 385-393, 2007 | 335 | 2007 |
| On the compuation of Lyapunov exponents for continuous dynamical systems L Dieci, RD Russell, ES Van Vleck SIAM journal on numerical analysis 34 (1), 402-423, 1997 | 254 | 1997 |
| Traveling wave solutions for systems of ODEs on a two-dimensional spatial lattice ES Van Vleck, J Mallet-Paret, JW Cahn SIAM Journal on Applied Mathematics 59 (2), 455-493, 1998 | 239 | 1998 |
| Pattern formation and spatial chaos in spatially discrete evolution equations SN Chow, J Mallet-Paret, ES Van Vleck Random and Computational Dynamics 4 (2), 109-178, 1996 | 195 | 1996 |
| Unitary integrators and applications to continuous orthonormalization techniques L Dieci, RD Russell, ES Van Vleck SIAM journal on numerical analysis 31 (1), 261-281, 1994 | 183 | 1994 |
| Dynamics of lattice differential equations SN Chow, J Mallet-Paret, ES Van Vleck International Journal of Bifurcation and Chaos 6 (09), 1605-1621, 1996 | 134 | 1996 |
| Lyapunov spectral intervals: theory and computation L Dieci, ES Van Vleck SIAM Journal on Numerical Analysis 40 (2), 516-542, 2002 | 120 | 2002 |
| Computation of a few Lyapunov exponents for continuous and discrete dynamical systems L Dieci, ES Van Vleck Applied Numerical Mathematics 17 (3), 275-291, 1995 | 120 | 1995 |
| Computation of mixed type functional differential boundary value problems KA Abell, CE Elmer, AR Humphries, ES Van Vleck SIAM Journal on Applied Dynamical Systems 4 (3), 755-781, 2005 | 89 | 2005 |
| Spatially discrete nonlinear diffusion equations JW Cahn, SN Chow, ES Van Vleck The Rocky Mountain Journal of Mathematics, 87-118, 1995 | 89 | 1995 |
| Lyapunov and Sacker–Sell spectral intervals L Dieci, ES Van Vleck Journal of dynamics and differential equations 19, 265-293, 2007 | 77 | 2007 |
| A variant of Newton's method for the computation of traveling waves of bistable differential-difference equations CE Elmer, ES Van Vleck Journal of Dynamics and Differential Equations 14, 493-517, 2002 | 77 | 2002 |
| Attractors for lattice FitzHugh–Nagumo systems E Van Vleck, B Wang Physica D: Nonlinear Phenomena 212 (3-4), 317-336, 2005 | 71 | 2005 |
| Analysis and computation of travelling wave solutions of bistable differential-difference equations CE Elmer, ES Van Vleck Nonlinearity 12 (4), 771, 1999 | 71 | 1999 |
| Traveling wave solutions for bistable differential-difference equations with periodic diffusion CE Elmer, ES Van Vleck SIAM Journal on Applied Mathematics 61 (5), 1648-1679, 2001 | 69 | 2001 |
| Spatially Discrete FitzHugh--Nagumo Equations CE Elmer, ES Van Vleck SIAM Journal on Applied Mathematics 65 (4), 1153-1174, 2005 | 66 | 2005 |
| Parallel speed-up of monte carlo methods for global optimization R Shonkwiler, E Van Vleck Journal of Complexity 10 (1), 64-95, 1994 | 56 | 1994 |
| The cutoff method for the numerical computation of nonnegative solutions of parabolic PDEs with application to anisotropic diffusion and lubrication-type equations C Lu, W Huang, ES Van Vleck Journal of Computational Physics 242, 24-36, 2013 | 50 | 2013 |
| A shadowing lemma approach to global error analysis for initial value ODEs SN Chow, ES Van Vleck SIAM Journal on Scientific Computing 15 (4), 959-976, 1994 | 48 | 1994 |
| Numerical shadowing near hyperbolic trajectories ES Van Vleck SIAM Journal on Scientific Computing 16 (5), 1177-1189, 1995 | 47 | 1995 |
