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Erik S. Van Vleck - Publications

Affiliations: 
Mathematics University of Kansas, Lawrence, KS, United States 
Area:
Mathematics
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32 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

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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