Year |
Citation |
Score |
2017 |
Hoffman A, Hupkes H, Van Vleck E. Entire solutions for bistable lattice
differential equations with obstacles Memoirs of the American Mathematical
Society. 250: 0-0. DOI: 10.1090/memo/1188 |
0.442 |
|
2016 |
Hupkes HJ, Van Vleck ES. Travelling Waves for Complete Discretizations of Reaction Diffusion Systems Journal of Dynamics and Differential Equations. 28: 955-1006. DOI: 10.1007/s10884-014-9423-9 |
0.37 |
|
2015 |
Vainchtein A, Van Vleck ES, Zhang A. Propagation of periodic patterns in a discrete system with competing interactions Siam Journal On Applied Dynamical Systems. 14: 523-555. DOI: 10.1137/140969348 |
0.333 |
|
2015 |
Chung YM, Steyer A, Tubbs M, Van Vleck ES, Vedantam M. Global error analysis and inertial manifold reduction Journal of Computational and Applied Mathematics. DOI: 10.1016/j.cam.2016.02.023 |
0.333 |
|
2015 |
Van Vleck ES. Continuous matrix factorizations Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory: Festschrift in Honor of Volker Mehrmann. 299-318. DOI: 10.1007/978-3-319-15260-8_11 |
0.32 |
|
2013 |
Lu C, Huang W, Van Vleck ES. The cutoff method for the numerical computation of nonnegative solutions of parabolic PDEs with application to anisotropic diffusion and Lubrication-type equations Journal of Computational Physics. 242: 24-36. DOI: 10.1016/J.Jcp.2013.01.052 |
0.423 |
|
2013 |
Breda D, Van Vleck E. Approximating Lyapunov exponents and Sacker–Sell spectrum for retarded functional differential equations Numerische Mathematik. 126: 225-257. DOI: 10.1007/s00211-013-0565-1 |
0.464 |
|
2011 |
Humphries AR, Moore BE, Van Vleck ES. Front solutions for bistable differential-difference equations with inhomogeneous diffusion Siam Journal On Applied Mathematics. 71: 1374-1400. DOI: 10.1137/100807156 |
0.419 |
|
2011 |
Linh VH, Mehrmann V, van Vleck ES. QR methods and error analysis for computing Lyapunov and Sacker-Sell spectral intervals for linear differential-algebraic equations Advances in Computational Mathematics. 35: 281-322. DOI: 10.1007/s10444-010-9156-1 |
0.36 |
|
2009 |
Scheel A, Van Vleck ES. Lattice differential equations embedded into reaction-diffusion systems Proceedings of the Royal Society of Edinburgh Section a: Mathematics. 139: 193-207. DOI: 10.1017/S0308210507000248 |
0.457 |
|
2008 |
Dieci L, Jolly MS, Rosa R, Van Vleck ES. Error in approximation of lyapunov exponents on inertial manifolds: The Kuramoto-Sivashinsky equation Discrete and Continuous Dynamical Systems - Series B. 9: 555-580. DOI: 10.3934/Dcdsb.2008.9.555 |
0.323 |
|
2007 |
Dieci L, Van Vleck ES. Lyapunov and Sacker-Sell spectral intervals Journal of Dynamics and Differential Equations. 19: 265-293. DOI: 10.1007/S10884-006-9030-5 |
0.374 |
|
2006 |
Bateman MD, Van Vleck ES. Traveling wave solutions to a coupled system of spatially discrete Nagumo equations Siam Journal On Applied Mathematics. 66: 945-976. DOI: 10.1137/050624352 |
0.401 |
|
2006 |
Dieci L, Van Vleck ES. Perturbation theory for approximation of Lyapunov exponents by QR methods Journal of Dynamics and Differential Equations. 18: 815-840. DOI: 10.1007/S10884-006-9024-3 |
0.312 |
|
2005 |
Elmer CE, Van Vleck ES. Spatially discrete Fitzhugh-Nagumo equations Siam Journal On Applied Mathematics. 65: 1153-1174. DOI: 10.1137/S003613990343687X |
0.407 |
|
2005 |
Abell KA, Elmer CE, Humphries AR, Van Vleck ES. Computation of mixed type functional differential boundary value problems Siam Journal On Applied Dynamical Systems. 4: 755-781. DOI: 10.1137/040603425 |
0.444 |
|
2005 |
Elmer CE, Van Vleck ES. Dynamics of monotone travelling fronts for discretizations of Nagumo PDEs Nonlinearity. 18: 1605-1628. DOI: 10.1088/0951-7715/18/4/010 |
0.362 |
|
2005 |
Maier-Paape S, Moore BE, Van Vleck ES. Spinodal decomposition for spatially discrete Cahn-Hilliard equations Dynamics of Continuous, Discrete and Impulsive Systems Series a: Mathematical Analysis. 12: 529-554. |
0.449 |
|
2003 |
Elmer CE, Van Vleck ES. Existence of monotone traveling fronts for BDF discretizations of bistable reaction-diffussion equations Dynamics of Continuous, Discrete and Impulsive Systems Series a: Mathematical Analysis. 10: 389-402. |
0.429 |
|
2002 |
Dieci L, Van Vleck ES. Lyapunov spectral intervals: Theory and computation Siam Journal On Numerical Analysis. 40: 516-542. DOI: 10.1137/S0036142901392304 |
0.334 |
|
2002 |
Elmer CE, Van Vleck ES. A variant of Newton's method for the computation of traveling waves of bistable differential-difference equations Journal of Dynamics and Differential Equations. 14: 493-517. |
0.474 |
|
2001 |
Van Vleck ES. Numerical shadowing using componentwise bounds and a sharper fixed point result Siam Journal On Scientific Computing. 22: 787-801. DOI: 10.1137/S1064827599353452 |
0.353 |
|
2001 |
Elmer CE, Van Vleck ES. Traveling wave solutions for bistable differential-difference equations with periodic diffusion Siam Journal On Applied Mathematics. 61: 1648-1679. DOI: 10.1137/S0036139999357113 |
0.327 |
|
2001 |
Abell KA, Humphries AR, Van Vleck ES. Mosaic solutions and entropy for discrete coupled phase-transition equations Physica D: Nonlinear Phenomena. 155: 274-310. DOI: 10.1016/S0167-2789(01)00244-5 |
0.477 |
|
2000 |
Abell KA, Humphries AR, Van Vleck ES. Mosaic solutions and entropy for spatially discrete Cahn-Hilliard equations Ima Journal of Applied Mathematics (Institute of Mathematics and Its Applications). 65: 219-255. DOI: 10.1093/Imamat/65.3.219 |
0.436 |
|
2000 |
Jennings B, Van Vleck ES. Mosaic solutions and spatial entropy for a class of neural network models International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 10: 1661-1675. |
0.301 |
|
1999 |
Elmer CE, Van Vleck ES. Analysis and computation of travelling wave solutions of bistable differential-difference equations Nonlinearity. 12: 771-798. DOI: 10.1088/0951-7715/12/4/303 |
0.48 |
|
1997 |
Scales JA, Van Vleck ES. Lyapunov exponents and localization in randomly layered media Journal of Computational Physics. 133: 27-42. DOI: 10.1006/Jcph.1997.5643 |
0.329 |
|
1996 |
Chow SN, Mallet-Paret J, Van Vleck ES. Dynamics of lattice differential equations International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 6: 1605-1621. DOI: 10.1142/S0218127496000977 |
0.377 |
|
1996 |
Elmer CE, Van Vleck ES. Computation of traveling waves for spatially discrete bistable reaction-diffusion equations Applied Numerical Mathematics. 20: 157-169. |
0.403 |
|
1995 |
Cahn JW, Chow SN, Van Vleck ES. Spatially discrete nonlinear diffusion equations Rocky Mountain Journal of Mathematics. 25: 87-118. DOI: 10.1216/Rmjm/1181072270 |
0.317 |
|
1994 |
Chow S, Van Vleck ES. A Shadowing Lemma Approach to Global Error Analysis for Initial Value ODEs Siam Journal On Scientific Computing. 15: 959-976. DOI: 10.1137/0915058 |
0.358 |
|
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