Arnd Scheel - Publications

Affiliations: 
University of Minnesota, Twin Cities, Minneapolis, MN 
Area:
Mathematics

94 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
2020 Flynn P, Neville Q, Scheel A. Self-organized clusters in diffusive run-and-tumble processes Discrete and Continuous Dynamical Systems - Series S. 13: 1187-1208. DOI: 10.3934/Dcdss.2020069  0.317
2019 Ankney N, Avery M, Khain T, Scheel A. Pinning and depinning: From periodic to chaotic and random media. Chaos (Woodbury, N.Y.). 29: 013127. PMID 30709137 DOI: 10.1063/1.5056190  0.381
2019 Avery M, Goh R, Goodloe O, Milewski A, Scheel A. Growing Stripes, with and without Wrinkles Siam Journal On Applied Dynamical Systems. 18: 1078-1117. DOI: 10.1137/18M1221989  0.342
2019 Kang K, Scheel A, Stevens A. Global phase diagrams of run-and-tumble dynamics: equidistribution, waves, and blowup Nonlinearity. 32: 2128-2146. DOI: 10.1088/1361-6544/Ab046D  0.415
2018 Scheel A, Weinburd J. Wavenumber selection via spatial parameter jump. Philosophical Transactions. Series a, Mathematical, Physical, and Engineering Sciences. 376. PMID 29507175 DOI: 10.1098/Rsta.2017.0191  0.449
2018 Goh R, Scheel A. Pattern-forming fronts in a Swift-Hohenberg equation with directional quenching - parallel and oblique stripes Journal of the London Mathematical Society. 98: 104-128. DOI: 10.1112/Jlms.12122  0.36
2018 Faye G, Scheel A. Center manifolds without a phase space Transactions of the American Mathematical Society. 370: 5843-5885. DOI: 10.1090/Tran/7190  0.435
2018 Carter P, Scheel A. Wave train selection by invasion fronts in the FitzHugh–Nagumo equation Nonlinearity. 31: 5536-5572. DOI: 10.1088/1361-6544/Aae1Db  0.466
2018 Jaramillo G, Scheel A, Wu Q. The effect of impurities on striped phases Proceedings of the Royal Society of Edinburgh: Section a Mathematics. 149: 131-168. DOI: 10.1017/S0308210518000197  0.549
2018 BAKKER B, SCHEEL A. SPATIAL HAMILTONIAN IDENTITIES FOR NONLOCALLY COUPLED SYSTEMS Forum of Mathematics, Sigma. 6. DOI: 10.1017/Fms.2018.22  0.444
2018 Samuelson R, Singer Z, Weinburd J, Scheel A. Advection and Autocatalysis as Organizing Principles for Banded Vegetation Patterns Journal of Nonlinear Science. 29: 255-285. DOI: 10.1007/S00332-018-9486-6  0.336
2018 Monteiro R, Scheel A. Contact angle selection for interfaces in growing domains Zamm - Journal of Applied Mathematics and Mechanics / Zeitschrift FüR Angewandte Mathematik Und Mechanik. 98: 1086-1102. DOI: 10.1002/Zamm.201700119  0.351
2017 Scheel A, Stevens A. Wavenumber selection in coupled transport equations. Journal of Mathematical Biology. PMID 28224236 DOI: 10.1007/S00285-017-1107-8  0.446
2017 Pogan A, Scheel A. Traveling fronts bifurcating from stable layers in the presence of conservation laws Discrete and Continuous Dynamical Systems. 37: 2619-2651. DOI: 10.3934/Dcds.2017112  0.475
2017 Lloyd DJB, Scheel A. Continuation and Bifurcation of Grain Boundaries in the Swift--Hohenberg Equation Siam Journal On Applied Dynamical Systems. 16: 252-293. DOI: 10.1137/16M1073212  0.312
2017 Faye G, Holzer M, Scheel A. Linear spreading speeds from nonlinear resonant interaction Nonlinearity. 30: 2403-2442. DOI: 10.1088/1361-6544/Aa6C74  0.356
2017 Scheel A, Tao T. Bifurcation to Coherent Structures in Nonlocally Coupled Systems Journal of Dynamics and Differential Equations. 31: 1107-1127. DOI: 10.1007/S10884-017-9613-3  0.404
2017 Monteiro R, Scheel A. Phase Separation Patterns from Directional Quenching Journal of Nonlinear Science. 27: 1339-1378. DOI: 10.1007/S00332-017-9361-X  0.349
2016 Goh R, Beekie R, Matthias D, Nunley J, Scheel A. Universal wave-number selection laws in apical growth. Physical Review. E. 94: 022219. PMID 27627310 DOI: 10.1103/Physreve.94.022219  0.427
2016 Goh R, Scheel A. Pattern formation in the wake of triggered pushed fronts Nonlinearity. 29: 2196-2237. DOI: 10.1088/0951-7715/29/8/2196  0.471
2016 Jaramillo G, Scheel A. Pacemakers in large arrays of oscillators with nonlocal coupling Journal of Differential Equations. 260: 2060-2090. DOI: 10.1016/J.Jde.2015.09.054  0.434
2016 Anderson T, Faye G, Scheel A, Stauffer D. Pinning and Unpinning in Nonlocal Systems Journal of Dynamics and Differential Equations. 1-27. DOI: 10.1007/S10884-016-9518-6  0.399
2016 Goh R, Scheel A. Erratum to: Triggered Fronts in the Complex Ginzburg Landau Equation Journal of Nonlinear Science. 27: 377-378. DOI: 10.1007/S00332-016-9338-1  0.322
2015 Ben-Naim E, Scheel A. Pattern selection and super-patterns in the bounded confidence model Epl. 112. DOI: 10.1209/0295-5075/112/18002  0.336
2015 Morrissey D, Scheel A. Characterizing the effect of boundary conditions on striped phases Siam Journal On Applied Dynamical Systems. 14: 1387-1417. DOI: 10.1137/15M1012554  0.374
2015 Faye G, Scheel A. Existence of pulses in excitable media with nonlocal coupling Advances in Mathematics. 270: 400-456. DOI: 10.1016/J.Aim.2014.11.005  0.353
2015 Scheel A. Spinodal Decomposition and Coarsening Fronts in the Cahn–Hilliard Equation Journal of Dynamics and Differential Equations. DOI: 10.1007/S10884-015-9491-5  0.415
2015 Goh R, Scheel A. Hopf Bifurcation from Fronts in the Cahn–Hilliard Equation Archive For Rational Mechanics and Analysis. 217: 1219-1263. DOI: 10.1007/S00205-015-0853-2  0.399
2015 Jaramillo G, Scheel A. Deformation of striped patterns by inhomogeneities Mathematical Methods in the Applied Sciences. 38: 51-65. DOI: 10.1002/Mma.3049  0.384
2014 Faye G, Scheel A. Fredholm properties of nonlocal differential operators via spectral flow Indiana University Mathematics Journal. 63: 1311-1348. DOI: 10.1512/Iumj.2014.63.5383  0.401
2014 Holzer M, Scheel A. Accelerated fronts in a two-stage invasion process Siam Journal On Mathematical Analysis. 46: 397-427. DOI: 10.1137/120887746  0.312
2014 Holzer M, Scheel A. Criteria for pointwise growth and their role in invasion processes Journal of Nonlinear Science. 24: 661-709. DOI: 10.1007/S00332-014-9202-0  0.33
2014 Goh R, Scheel A. Triggered fronts in the complex ginzburg landau equation Journal of Nonlinear Science. 24: 117-144. DOI: 10.1007/S00332-013-9186-1  0.47
2014 Scheel A, Wu Q. Small-amplitude grain boundaries of arbitrary angle in the Swift-Hohenberg equation Zamm Zeitschrift Fur Angewandte Mathematik Und Mechanik. 94: 203-232. DOI: 10.1002/Zamm.201200172  0.567
2013 Scheel A, Wu Q. Diffusive Stability of Turing Patterns via Normal Forms Journal of Dynamics and Differential Equations. 1-50. DOI: 10.1007/S10884-013-9335-0  0.579
2012 Holzer M, Scheel A. A slow pushed front in a Lotka-Volterra competition model Nonlinearity. 25: 2151-2179. DOI: 10.1088/0951-7715/25/7/2151  0.386
2012 Haragus M, Scheel A. Grain boundaries in the Swift-Hohenberg equation European Journal of Applied Mathematics. 23: 737-759. DOI: 10.1017/S0956792512000241  0.386
2012 Sandstede B, Scheel A, Schneider G, Uecker H. Diffusive mixing of periodic wave trains in reaction-diffusion systems Journal of Differential Equations. 252: 3541-3574. DOI: 10.1016/J.Jde.2011.10.014  0.476
2012 Pogan A, Scheel A. Layers in the Presence of Conservation Laws Journal of Dynamics and Differential Equations. 24: 249-287. DOI: 10.1007/S10884-012-9248-3  0.351
2012 Haragus M, Scheel A. Dislocations in an Anisotropic Swift-Hohenberg Equation Communications in Mathematical Physics. 315: 311-335. DOI: 10.1007/S00220-012-1569-X  0.449
2011 Pogan A, Scheel A. Fredholm properties of radially symmetric, second order differential operators International Journal of Dynamical Systems and Differential Equations. 3: 289-327. DOI: 10.1504/Ijdsde.2011.041878  0.352
2011 Goh RN, Mesuro S, Scheel A. Spatial wavenumber selection in recurrent precipitation Siam Journal On Applied Dynamical Systems. 10: 360-402. DOI: 10.1137/100793086  0.363
2011 Gallay T, Scheel A. Diffusive stability of oscillations in reaction-diffusion systems Transactions of the American Mathematical Society. 363: 2571-2598. DOI: 10.1090/S0002-9947-2010-05148-7  0.427
2010 Bellay J, Scheel A. Coherent structures near the boundary between excitable and oscillatory media Dynamical Systems. 25: 111-132. DOI: 10.1080/14689360903325071  0.722
2010 Pogan A, Scheel A. Instability of spikes in the presence of conservation laws Zeitschrift Fur Angewandte Mathematik Und Physik. 61: 979-998. DOI: 10.1007/S00033-010-0058-3  0.341
2009 Scheel A. Robustness of Liesegang patterns Nonlinearity. 22: 457-483. DOI: 10.1088/0951-7715/22/2/012  0.373
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  0.453
2008 Sandstede B, Scheel A. Relative Morse indices, Fredholm indices, and group velocities Discrete and Continuous Dynamical Systems. 20: 139-158. DOI: 10.3934/Dcds.2008.20.139  0.47
2008 Sandstede B, Scheel A. Hopf bifurcation from viscous shock waves Siam Journal On Mathematical Analysis. 39: 2033-2052. DOI: 10.1137/060675587  0.394
2008 Scheel A, Wright JD. Colliding dissipative pulses-The shooting manifold Journal of Differential Equations. 245: 59-79. DOI: 10.1016/J.Jde.2008.03.019  0.344
2007 Haragus M, Scheel A. Stable viscous shocks in elliptic conservation laws Indiana University Mathematics Journal. 56: 1261-1277. DOI: 10.1512/Iumj.2007.56.2962  0.477
2007 Haragus M, Scheel A. Interfaces between rolls in the Swift-Hohenberg equation International Journal of Dynamical Systems and Differential Equations. 1: 89-97. DOI: 10.1504/Ijdsde.2007.016510  0.377
2007 Rademacher JDM, Scheel A. Instabilities of wave trains and turing patterns in large domains International Journal of Bifurcation and Chaos. 17: 2679-2691. DOI: 10.1142/S0218127407018683  0.429
2007 Sandstede B, Scheel A. Period-doubling of spiral waves and defects Siam Journal On Applied Dynamical Systems. 6: 494-547. DOI: 10.1137/060668158  0.402
2007 Kollár R, Scheel A. Coherent structures generated by inhomogeneities in oscillatory media Siam Journal On Applied Dynamical Systems. 6: 236-262. DOI: 10.1137/060666950  0.458
2007 Rademacher JDM, Sandstede B, Scheel A. Computing absolute and essential spectra using continuation Physica D: Nonlinear Phenomena. 229: 166-183. DOI: 10.1016/J.Physd.2007.03.016  0.339
2007 Rademacher JDM, Scheel A. The saddle-node of nearly homogeneous wave trains in reaction-diffusion systems Journal of Dynamics and Differential Equations. 19: 479-496. DOI: 10.1007/S10884-006-9059-5  0.402
2007 Wright JD, Scheel A. Solitary waves and their linear stability in weakly coupled KdV equations Zeitschrift Fur Angewandte Mathematik Und Physik. 58: 535-570. DOI: 10.1007/S00033-006-6076-5  0.487
2007 Haragus M, Scheel A. A bifurcation approach to non-planar traveling waves in reaction-diffusion systems Gamm-Mitteilungen. 30: 75-95. DOI: 10.1002/Gamm.200790012  0.426
2006 Sandstede B, Scheel A. Curvature effects on spiral spectra: generation of point eigenvalues near branch points. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 73: 016217. PMID 16486268 DOI: 10.1103/Physreve.73.016217  0.4
2006 Haragus M, Scheel A. Almost planar waves in anisotropic media Communications in Partial Differential Equations. 31: 791-815. DOI: 10.1080/03605300500361420  0.468
2006 Haragus M, Scheel A. Corner defects in almost planar interface propagation Annales De L'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis. 23: 283-329. DOI: 10.1016/J.Anihpc.2005.03.003  0.48
2006 Scheel A. Coarsening fronts Archive For Rational Mechanics and Analysis. 181: 505-534. DOI: 10.1007/s00205-006-0422-9  0.411
2006 Haragus M, Lombardi E, Scheel A. Spectral stability of wave trains in the Kawahara equation Journal of Mathematical Fluid Mechanics. 8: 482-509. DOI: 10.1007/S00021-005-0185-3  0.49
2005 Sandstede B, Scheel A. Absolute instabilities of standing pulses Nonlinearity. 18: 331-378. DOI: 10.1088/0951-7715/18/1/017  0.472
2005 Sandstede B, Scheel A. Basin boundaries and bifurcations near convective instabilities: A case study Journal of Differential Equations. 208: 176-193. DOI: 10.1016/J.Jde.2004.02.016  0.401
2004 Sandstede B, Scheel A. Evans function and blow-up methods in critical eigenvalue problems Discrete and Continuous Dynamical Systems. 10: 941-964. DOI: 10.3934/Dcds.2004.10.941  0.36
2004 Sandstede B, Scheel A. Defects in oscillatory media: Toward a classification Siam Journal On Applied Dynamical Systems. 3. DOI: 10.1137/030600192  0.408
2003 Matthies K, Scheel A. Exponential averaging for Hamiltonian evolution equations Transactions of the American Mathematical Society. 355: 747-773. DOI: 10.1090/S0002-9947-02-03143-4  0.409
2003 Doelman A, Sandstede B, Scheel A, Schneider G. Propagation of hexagonal patterns near onset European Journal of Applied Mathematics. 14: 85-110. DOI: 10.1017/S095679250200503X  0.369
2003 Pelinovsky DE, Scheel A. Stability analysis of stationary light transmission in nonlinear photonic structures Journal of Nonlinear Science. 13: 347-396. DOI: 10.1007/S00332-003-0527-3  0.37
2002 Härterich J, Sandstede B, Scheel A. Exponential dichotomies for linear non-autonomous functional differential equations of mixed type Indiana University Mathematics Journal. 51: 1081-1109. DOI: 10.1512/Iumj.2002.51.2188  0.413
2002 Haragus M, Scheel A. Linear stability and instability of ion-acoustic plasma solitary waves Physica D: Nonlinear Phenomena. 170: 13-30. DOI: 10.1016/S0167-2789(02)00531-6  0.413
2002 Haragus M, Scheel A. Finite-wavelength stability of capillary-gravity solitary waves Communications in Mathematical Physics. 225: 487-521. DOI: 10.1007/S002200100590  0.457
2001 Sandstede B, Scheel A. Superspiral structures of meandering and drifting spiral waves Physical Review Letters. 86: 171-174. PMID 11136121 DOI: 10.1103/Physrevlett.86.171  0.401
2001 Sandstede B, Scheel A. Essential instabilities of fronts: Bifurcation, and bifurcation failure Dynamical Systems. 16: 1-28. DOI: 10.1080/02681110010001270  0.424
2001 Sandstede B, Scheel A. On the stability of periodic travelling waves with large spatial period Journal of Differential Equations. 172: 134-188. DOI: 10.1006/Jdeq.2000.3855  0.479
2001 Sandstede B, Scheel A. On the structure of spectra of modulated travelling waves Mathematische Nachrichten. 232: 39-93. DOI: 10.1002/1522-2616(200112)232:1<39::Aid-Mana39>3.0.Co;2-5  0.532
2000 Lord GJ, Peterhof D, Sandstede B, Scheel A. Numerical computation of solitary waves in infinite cylindrical domains Siam Journal On Numerical Analysis. 37: 1420-1454. DOI: 10.1137/S003614299833734X  0.433
2000 Sandstede B, Scheel A. Absolute versus convective instability of spiral waves Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 62: 7708-7714. DOI: 10.1103/Physreve.62.7708  0.417
2000 Sandstede B, Scheel A. Gluing unstable fronts and backs together can produce stable pulses Nonlinearity. 13: 1465-1482. DOI: 10.1088/0951-7715/13/5/303  0.337
2000 Sandstede B, Scheel A. Spectral stability of modulated travelling waves bifurcating near essential instabilities Royal Society of Edinburgh - Proceedings A. 130: 419-448. DOI: 10.1017/S0308210500000238  0.432
2000 Sandstede B, Scheel A. Absolute and convective instabilities of waves on unbounded and large bounded domains Physica D: Nonlinear Phenomena. 145: 233-277. DOI: 10.1016/S0167-2789(00)00114-7  0.412
1999 Sandstede B, Scheel A. Essential instability of pulses and bifurcations to modulated travelling waves Royal Society of Edinburgh - Proceedings A. 129: 1263-1290. DOI: 10.1017/S0308210500019387  0.504
1999 Sandstede B, Scheel A, Wulff C. Bifurcations and dynamics of spiral waves Journal of Nonlinear Science. 9: 439-478. DOI: 10.1007/S003329900076  0.449
1998 Scheel A. Bifurcation to spiral waves in reaction-diffusion systems Siam Journal On Mathematical Analysis. 29: 1399-1418. DOI: 10.1137/S0036141097318948  0.455
1998 Fiedler B, Scheel A, Vishik MI. Large patterns of elliptic systems in infinite cylinders Journal Des Mathematiques Pures Et Appliquees. 77: 879-907. DOI: 10.1016/S0021-7824(01)80002-7  0.312
1997 Sandstede B, Scheel A, Wulff C. Center-manifold reduction for spiral waves Comptes Rendus De L'Academie Des Sciences - Series I: Mathematics. 324: 153-158. DOI: 10.1016/S0764-4442(99)80335-8  0.463
1997 Chossat P, Krupa M, Melbourne I, Scheel A. Transverse bifurcations of homoclinic cycles Physica D: Nonlinear Phenomena. 100: 85-100. DOI: 10.1016/S0167-2789(96)00186-8  0.345
1997 Scheel A. Subcritical bifurcation to infinitely many rotating waves Journal of Mathematical Analysis and Applications. 215: 252-261. DOI: 10.1006/Jmaa.1997.5651  0.427
1997 Sandstede B, Scheel A, Wulff C. Dynamics of spiral waves on unbounded domains using center-manifold reductions Journal of Differential Equations. 141: 122-149. DOI: 10.1006/Jdeq.1997.3326  0.4
1997 Peterhof D, Sandstede B, Scheel A. Exponential Dichotomies for Solitary-Wave Solutions of Semilinear Elliptic Equations on Infinite Cylinders Journal of Differential Equations. 140: 266-308. DOI: 10.1006/Jdeq.1997.3303  0.479
1996 Scheel A. Existence of fast traveling waves for some parabolic equations: A dynamical systems approach Journal of Dynamics and Differential Equations. 8: 469-547. DOI: 10.1007/Bf02218843  0.427
1995 Sandstede B, Scheel A. Forced symmetry breaking of homoclinic cycles Nonlinearity. 8: 333-365. DOI: 10.1088/0951-7715/8/3/003  0.41
Show low-probability matches.