| Year |
Citation |
Score |
| 2019 |
Schaeffer DG, Barker T, Tsuji D, Gremaud P, Shearer M, Gray JMNT. Constitutive relations for compressible granular flow in the inertial regime Journal of Fluid Mechanics. 874: 926-951. DOI: 10.1017/Jfm.2019.476 |
0.383 |
|
| 2017 |
Barker T, Schaeffer DG, Shearer M, Gray JMNT. Well-posed continuum equations for granular flow with compressibility and μ(I)-rheology. Proceedings. Mathematical, Physical, and Engineering Sciences. 473: 20160846. PMID 28588402 DOI: 10.1098/Rspa.2016.0846 |
0.373 |
|
| 2013 |
Gonzales K, Kay?kç? O, Schaeffer DG, Magwene PM. Modeling mutant phenotypes and oscillatory dynamics in the Saccharomyces cerevisiae cAMP-PKA pathway. Bmc Systems Biology. 7: 40. PMID 23680078 DOI: 10.1186/1752-0509-7-40 |
0.628 |
|
| 2010 |
Dai S, Schaeffer DG. Chaos for cardiac arrhythmias through a one-dimensional modulation equation for alternans. Chaos (Woodbury, N.Y.). 20: 023131. PMID 20590327 DOI: 10.1063/1.3456058 |
0.605 |
|
| 2010 |
Dai S, Schaeffer DG. Bifurcations in a modulation equation for alternans in a cardiac fiber Esaim: Mathematical Modelling and Numerical Analysis. 44: 1225-1238. DOI: 10.1051/M2An/2010028 |
0.601 |
|
| 2008 |
Schaeffer DG, Ying W, Zhao X. Asymptotic approximation of an ionic model for cardiac restitution. Nonlinear Dynamics. 51: 189-198. PMID 19122809 DOI: 10.1007/S11071-007-9202-9 |
0.399 |
|
| 2008 |
Cain JW, Schaeffer DG. Shortening of cardiac action potential duration near an insulating boundary. Mathematical Medicine and Biology : a Journal of the Ima. 25: 21-36. PMID 18343886 DOI: 10.1093/Imammb/Dqn002 |
0.58 |
|
| 2008 |
Dai S, Schaeffer DG. Spectrum of a linearized amplitude equation for alternans in a cardiac fiber Siam Journal On Applied Mathematics. 69: 704-719. DOI: 10.1137/070711384 |
0.587 |
|
| 2008 |
Beck M, Jones CKRT, Schaeffer D, Wechselberger M. Electrical waves in a one-dimensional model of cardiac tissue Siam Journal On Applied Dynamical Systems. 7: 1558-1581. DOI: 10.1137/070709980 |
0.365 |
|
| 2008 |
Schaeffer DG, Iverson RM. Steady and intermittent slipping in a model of landslide motion regulated by pore-pressure feedback Siam Journal On Applied Mathematics. 69: 769-786. DOI: 10.1137/07070704X |
0.381 |
|
| 2008 |
Catllá AJ, Schaeffer DG, Witelski TP, Monson EE, Lin AL. On spiking models for synaptic activity and impulsive differential equations Siam Review. 50: 553-569. DOI: 10.1137/060667980 |
0.368 |
|
| 2008 |
Zhao X, Schaeffer DG, Berger CM, Krassowska W, Gauthier DJ. Cardiac alternans arising from an unfolded border-collision bifurcation Journal of Computational and Nonlinear Dynamics. 3. DOI: 10.1115/1.2960467 |
0.391 |
|
| 2007 |
Zhao X, Schaeffer DG. Alternate Pacing of Border-Collision Period-Doubling Bifurcations. Nonlinear Dynamics. 50: 733-742. PMID 19132134 DOI: 10.1007/S11071-006-9174-1 |
0.346 |
|
| 2007 |
Zhao X, Schaeffer DG, Berger CM, Gauthier DJ. Small-Signal Amplification of Period-Doubling Bifurcations in Smooth Iterated Maps. Nonlinear Dynamics. 48: 381-389. PMID 19112525 DOI: 10.1007/S11071-006-9092-2 |
0.384 |
|
| 2007 |
Berger CM, Zhao X, Schaeffer DG, Dobrovolny HM, Krassowska W, Gauthier DJ. Period-doubling bifurcation to alternans in paced cardiac tissue: crossover from smooth to border-collision characteristics. Physical Review Letters. 99: 058101. PMID 17930795 DOI: 10.1103/Physrevlett.99.058101 |
0.371 |
|
| 2007 |
Schaeffer DG, Cain JW, Gauthier DJ, Kalb SS, Oliver RA, Tolkacheva EG, Ying W, Krassowska W. An ionically based mapping model with memory for cardiac restitution. Bulletin of Mathematical Biology. 69: 459-82. PMID 17237915 DOI: 10.1007/S11538-006-9116-6 |
0.625 |
|
| 2007 |
Schaeffer DG, Shearer M, Witelski TP. Boundary-value problems for hyperbolic equations related to steady granular flow Mathematics and Mechanics of Solids. 12: 665-699. DOI: 10.1177/1081286506067325 |
0.353 |
|
| 2006 |
Cain JW, Schaeffer DG. Two-Term Asymptotic Approximation of a Cardiac Restitution Curve. Siam Review. Society For Industrial and Applied Mathematics. 48: 537-546. PMID 18080006 DOI: 10.1137/050632907 |
0.651 |
|
| 2006 |
Gremaud PA, Matthews JV, Schaeffer DG. On the computation of steady hopper flows III: Model comparisons Journal of Computational Physics. 219: 443-454. DOI: 10.1016/J.Jcp.2006.03.032 |
0.345 |
|
| 2005 |
Kalb SS, Tolkacheva EG, Schaeffer DG, Gauthier DJ, Krassowska W. Restitution in mapping models with an arbitrary amount of memory. Chaos (Woodbury, N.Y.). 15: 23701. PMID 16035891 DOI: 10.1063/1.1876912 |
0.314 |
|
| 2005 |
Matthews JV, Schaeffer DG. A well-posed free boundary value problem for a hyperbolic equation with Dirichlet boundary conditions Siam Journal On Mathematical Analysis. 36: 256-271. DOI: 10.1137/S0036141002408708 |
0.331 |
|
| 2004 |
Cain JW, Tolkacheva EG, Schaeffer DG, Gauthier DJ. Rate-dependent propagation of cardiac action potentials in a one-dimensional fiber. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 70: 061906. PMID 15697401 DOI: 10.1103/Physreve.70.061906 |
0.604 |
|
| 2004 |
Gremaud PA, Matthews JV, Schaeffer DG. Secondary circulation in granular flow through nonaxisymmetric hoppers Siam Journal On Applied Mathematics. 64: 583-600. DOI: 10.1137/S0036139903415124 |
0.323 |
|
| 2003 |
Mitchell CC, Schaeffer DG. A two-current model for the dynamics of cardiac membrane. Bulletin of Mathematical Biology. 65: 767-93. PMID 12909250 DOI: 10.1016/S0092-8240(03)00041-7 |
0.386 |
|
| 2003 |
Tolkacheva EG, Schaeffer DG, Gauthier DJ, Krassowska W. Condition for alternans and stability of the 1:1 response pattern in a "memory" model of paced cardiac dynamics. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 67: 031904. PMID 12689098 DOI: 10.1103/Physreve.67.031904 |
0.381 |
|
| 2003 |
Shearer M, Schaeffer DG, Witelski TP. Stability of shear bands in an elastoplastic model for granular flow: The role of discreteness Mathematical Models and Methods in Applied Sciences. 13: 1629-1671. DOI: 10.1142/S0218202503003069 |
0.401 |
|
| 2002 |
Tolkacheva EG, Schaeffer DG, Gauthier DJ, Mitchell CC. Analysis of the Fenton-Karma model through an approximation by a one-dimensional map. Chaos (Woodbury, N.Y.). 12: 1034-1042. PMID 12779627 DOI: 10.1063/1.1515170 |
0.39 |
|
| 2002 |
Socolar JES, Schaeffer DG, Claudin P. Directed force chain networks and stress response in static granular materials European Physical Journal E. 7: 353-370. DOI: 10.1140/Epje/I2002-10011-7 |
0.332 |
|
| 2001 |
Witelski TP, Schaeffer DG, Shearer M. A discrete model for an ill-posed nonlinear parabolic PDE Physica D: Nonlinear Phenomena. 160: 189-221. DOI: 10.1016/S0167-2789(01)00350-5 |
0.381 |
|
| 2000 |
Hayes BT, Schaeffer DG. Stress-controlled shear waves in a saturated granular medium European Journal of Applied Mathematics. 11: 81-94. DOI: 10.1017/S0956792599004064 |
0.325 |
|
| 1998 |
Howle L, Schaeffer DG, Shearer M, Zhong P. Lithotripsy: The treatment of kidney stones with shock waves Siam Review. 40: 356-371. DOI: 10.1137/S0036144597322630 |
0.334 |
|
| 1998 |
Hayes BT, Schaeffer DG. Plane shear waves under a periodic boundary disturbance in a saturated granular medium Physica D: Nonlinear Phenomena. 121: 193-212. DOI: 10.1016/S0167-2789(98)00154-7 |
0.345 |
|
| 1997 |
Schaeffer DG, Shearer M. The influence of material non-uniformity preceding shear-band formation in a model for granular flow European Journal of Applied Mathematics. 8: 457-483. DOI: 10.1017/S0956792597003070 |
0.302 |
|
| 1996 |
Shearer M, Schaeffer DG. Riemann problems for 5 × 5 systems of fully non-linear equations related to hypoplasticity Mathematical Methods in the Applied Sciences. 19: 1433-1444. DOI: 10.1002/(Sici)1099-1476(199612)19:18<1433::Aid-Mma824>3.0.Co;2-X |
0.36 |
|
| 1995 |
Shearer M, Schaeffer DG. A Class of Fully Nonlinear 2×2 Systems of Partial Differential Equations Communications in Partial Differential Equations. 20: 1105-1131. DOI: 10.1080/03605309508821126 |
0.345 |
|
| 1994 |
Gardner CL, Schaeffer DG. Numerical Simulation of Uniaxial Compression of a Granular Material with Wall Friction Siam Journal On Applied Mathematics. 54: 1676-1692. DOI: 10.1137/S003613999325172X |
0.317 |
|
| 1994 |
Shearer M, Schaeffer DG. Unloading near a shear band in granular material Quarterly of Applied Mathematics. 52: 579-600. DOI: 10.1090/Qam/1292207 |
0.322 |
|
| 1994 |
Garaizar FX, Schaeffer DG. Numerical computations for shear bands in an antiplane shear model Journal of the Mechanics and Physics of Solids. 42: 21-50. DOI: 10.1016/0022-5096(94)90049-3 |
0.322 |
|
| 1993 |
Shearer M, Schaeffer DG. The Initial Value Problem for a System Modelling Unidirectional Longitudinal Elastic-Plastic Waves Siam Journal On Mathematical Analysis. 24: 1111-1144. DOI: 10.1137/0524065 |
0.362 |
|
| 1993 |
Schaeffer DG, Shearer M. Unloading near a shear band: A free boundary problem for the wave equation Communications in Partial Differential Equations. 18: 1271-1298. DOI: 10.1080/03605309308820974 |
0.326 |
|
| 1992 |
Wang F, Gardner CL, Schaeffer DG. Steady-state computations of granular flow in an axisymmetric hopper Siam Journal On Applied Mathematics. 52: 1076-1088. DOI: 10.1137/0152063 |
0.335 |
|
| 1992 |
Schaeffer DG. A mathematical model for localization in granular flow Proc. Royal Society Series. a: Mathematical & Physical Sciences. 436: 217-250. DOI: 10.1098/Rspa.1992.0016 |
0.36 |
|
| 1992 |
Schaeffer DG, Shearer M. Scale-invariant initial value problems in one-dimensional dynamic elastoplasticity, with consequences for multidimensional nonassociative plasticity European Journal of Applied Mathematics. 3: 225-254. DOI: 10.1017/S0956792500000814 |
0.339 |
|
| 1992 |
An L, Schaeffer DG. The flutter instability in granular flow Journal of the Mechanics and Physics of Solids. 40: 683-698. DOI: 10.1016/0022-5096(92)80009-F |
0.359 |
|
| 1990 |
Schaeffer DG, Shearer M, Pitman EB. Instability in Critical State Theories of Granular Flow Siam Journal On Applied Mathematics. 50: 33-47. DOI: 10.1137/0150003 |
0.34 |
|
| 1990 |
Schaeffer DG. Instability and ill-posedness in the deformation of granular materials International Journal For Numerical & Analytical Methods in Geomechanics. 14: 253-278. DOI: 10.1002/Nag.1610140403 |
0.348 |
|
| 1988 |
Beale JT, Schaeffer DG. Nonlinear behavior of model equations which are linearly ill-posed Communications in Partial Differential Equations. 13: 423-467. DOI: 10.1080/03605308808820548 |
0.363 |
|
| 1988 |
Schaeffer DG, Pitman EB. Ill-posedness in three-dimensional plastic flow Communications On Pure and Applied Mathematics. 41: 879-890. DOI: 10.1002/Cpa.3160410703 |
0.347 |
|
| 1987 |
Schaeffer DG, Shearer M. Riemann problems for nonstrictly hyperbolic 2x2 systems of conservation laws Transactions of the American Mathematical Society. 304: 267-306. DOI: 10.1090/S0002-9947-1987-0906816-5 |
0.342 |
|
| 1987 |
Schaeffer DG. Instability in the evolution equations describing incompressible granular flow Journal of Differential Equations. 66: 19-50. DOI: 10.1016/0022-0396(87)90038-6 |
0.325 |
|
| 1982 |
Golubitsky M, Schaeffer D. Bifurcations withO(3) symmetry including applications to the Bénard problem Communications On Pure and Applied Mathematics. 35: 81-111. DOI: 10.1002/Cpa.3160350105 |
0.305 |
|
| 1981 |
Schaeffer DG, Golubitsky MA. Bifurcation analysis near a double eigenvalue of a model chemical reaction Archive For Rational Mechanics and Analysis. 75: 315-347. DOI: 10.1007/Bf00256382 |
0.349 |
|
| 1979 |
Schaeffer D, Golubitsky M. Boundary conditions and mode jumping in the buckling of a rectangular plate Communications in Mathematical Physics. 69: 209-236. DOI: 10.1007/Bf01197444 |
0.321 |
|
| 1979 |
Golubitsky M, Schaeffer D. A theory for imperfect bifurcation via singularity theory Communications On Pure and Applied Mathematics. 32: 21-98. DOI: 10.1002/Cpa.3160320103 |
0.308 |
|
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