-
1
-
-
21244461900
-
Computation of mixed type functional differential boundary value problems
-
To appear
-
Abell, K. A., Elmer, C. E., Humphries, A. R., and Vleck, E. S. V. (2005). Computation of mixed type functional differential boundary value problems. To appear in SIAM J. Appl. Dyn. Sys.
-
(2005)
SIAM J. Appl. Dyn. Sys.
-
-
Abell, K.A.1
Elmer, C.E.2
Humphries, A.R.3
Vleck, E.S.V.4
-
2
-
-
0001536820
-
Solving boundary value problems for functional differential equations by collocation
-
Ascher, U. M., and Russel, R. D. (eds.)
-
Bader, G. (1985). Solving boundary value problems for functional differential equations by collocation. In Ascher, U. M., and Russel, R. D. (eds.), Proceedings in Scientific Computing, Numerical Boundary Value ODEs, Vol. 5. pp. 227-243.
-
(1985)
Proceedings in Scientific Computing, Numerical Boundary Value ODEs
, vol.5
, pp. 227-243
-
-
Bader, G.1
-
3
-
-
1642634082
-
Traveling waves of bistable dynamics on a lattice
-
Bates, P. W., Chen, X., and Chmaj, A. (2003). Traveling waves of bistable dynamics on a lattice. SIAM J. Math. Anal 35, 520-546.
-
(2003)
SIAM J. Math. Anal
, vol.35
, pp. 520-546
-
-
Bates, P.W.1
Chen, X.2
Chmaj, A.3
-
4
-
-
0033268806
-
A discrete convolution model for phase transitions
-
Bates, P. W., and Chmaj, A. (1999). A discrete convolution model for phase transitions. Arch. Rational Mech. Anal. 150, 281-305.
-
(1999)
Arch. Rational Mech. Anal.
, vol.150
, pp. 281-305
-
-
Bates, P.W.1
Chmaj, A.2
-
5
-
-
0019582693
-
Some threshold results for models of Myelinated Nerves
-
Bell, J. (1981). Some threshold results for models of Myelinated Nerves. Math. Biosci. 54, 181-190.
-
(1981)
Math. Biosci.
, vol.54
, pp. 181-190
-
-
Bell, J.1
-
6
-
-
6244279498
-
Theory of crystal growth and interface motion in crystalline materials
-
Cahn, J. W. (1960), Theory of crystal growth and interface motion in crystalline materials. Acta Met. 8, 554-562.
-
(1960)
Acta Met.
, vol.8
, pp. 554-562
-
-
Cahn, J.W.1
-
7
-
-
0032201919
-
Traveling wave solutions for systems of ODE's on a two-dimensional spatial lattice
-
Cahn, J. W., Mallet-Paret, J., and Van Vleck, E. S. (1999). Traveling wave solutions for systems of ODE's on a two-dimensional spatial lattice. SIAM J. Appl. Math. 59, 455-493.
-
(1999)
SIAM J. Appl. Math.
, vol.59
, pp. 455-493
-
-
Cahn, J.W.1
Mallet-Paret, J.2
Van Vleck, E.S.3
-
8
-
-
28144454990
-
An automatic continuation strategy for the solution of singularly perturbed linear two-point boundary value problems
-
Cash, J. R., Moore, G., and Wright, R. W. (1995). An automatic continuation strategy for the solution of singularly perturbed linear two-point boundary value problems. J. Comp. Phys. 122, 266-279.
-
(1995)
J. Comp. Phys.
, vol.122
, pp. 266-279
-
-
Cash, J.R.1
Moore, G.2
Wright, R.W.3
-
9
-
-
0022870039
-
Numerical solution of a nonlinear advance-delay differential equation from nerve conduction theory
-
Chi, H., Bell, J., and Hassard, B. (1986). Numerical solution of a nonlinear advance-delay differential equation from Nerve Conduction Theory. J. Math. Bio. 24, 583-601.
-
(1986)
J. Math. Bio.
, vol.24
, pp. 583-601
-
-
Chi, H.1
Bell, J.2
Hassard, B.3
-
10
-
-
0001379558
-
Traveling waves in lattice dynamical systems
-
Chow, S. N., Mallet-Paret, J., and Shen, W. (1998). Traveling waves in lattice dynamical systems. J. Diff. Eq. 149, 248-291.
-
(1998)
J. Diff. Eq.
, vol.149
, pp. 248-291
-
-
Chow, S.N.1
Mallet-Paret, J.2
Shen, W.3
-
12
-
-
0011309776
-
Mathematical and numerical analaysis of a mean-field equation for the Ising Model with Glauber dynamics
-
AMS
-
Elliott, C. M., Gardiner, A. R., Kostin, I., and Lu, B. (1994). Mathematical and numerical analaysis of a mean-field equation for the Ising Model with Glauber dynamics. In Chaotic Numerics, AMS, Vol. 172. pp. 217-242.
-
(1994)
Chaotic Numerics
, vol.172
, pp. 217-242
-
-
Elliott, C.M.1
Gardiner, A.R.2
Kostin, I.3
Lu, B.4
-
13
-
-
0030081653
-
Computation of traveling waves for spatially discrete bistable reaction-diffusion equations
-
Elmer, C. E., and Van Vleck, E. S. (1996). Computation of traveling waves for spatially discrete bistable reaction-diffusion equations. Appel. Numer. Math. 20, 157-169.
-
(1996)
Appel. Numer. Math.
, vol.20
, pp. 157-169
-
-
Elmer, C.E.1
Van Vleck, E.S.2
-
14
-
-
0033164119
-
Analysis and computation of traveling wave solutions of bistable differential-difference equations
-
Elmer, C. E., and Van Vleck, E. S. (1999). Analysis and computation of traveling wave solutions of bistable differential-difference equations. Nonlinearity 12, 771-798.
-
(1999)
Nonlinearity
, vol.12
, pp. 771-798
-
-
Elmer, C.E.1
Van Vleck, E.S.2
-
15
-
-
0035183373
-
Traveling wave solutions for bistable differential difference equations with periodic diffusion
-
Elmer, C. E., and Van Vleck, E. S. (2001). Traveling wave solutions for bistable differential difference equations with periodic diffusion. SIAM J. Applied Mathematics 61, 1648-1679.
-
(2001)
SIAM J. Applied Mathematics
, vol.61
, pp. 1648-1679
-
-
Elmer, C.E.1
Van Vleck, E.S.2
-
16
-
-
4444281421
-
A variant of Newton's method for the computation of traveling waves of bistable differential-difference equations
-
Elmer, C. E., and Van Vleck, E. S. (2002), A variant of Newton's method for the computation of traveling waves of bistable differential-difference equations. J. Dyn. Dif. Eqn. 14, 493-517.
-
(2002)
J. Dyn. Dif. Eqn.
, vol.14
, pp. 493-517
-
-
Elmer, C.E.1
Van Vleck, E.S.2
-
17
-
-
43949163245
-
Propagating waves in discrete bistable reaction-diffusion systems
-
Erneux, T., and Nieolis, G. (1993). Propagating waves in discrete bistable reaction-diffusion systems. Physica D 67, 237-244.
-
(1993)
Physica D
, vol.67
, pp. 237-244
-
-
Erneux, T.1
Nieolis, G.2
-
18
-
-
0017637590
-
The approach of solutions of nonlinear diffusion equations to traveling front solutions
-
Fife, P., and McLeod, J. (1977). The approach of solutions of nonlinear diffusion equations to traveling front solutions. Arch. Rat. Mech. Anal. 65, 333-361.
-
(1977)
Arch. Rat. Mech. Anal.
, vol.65
, pp. 333-361
-
-
Fife, P.1
McLeod, J.2
-
19
-
-
0000254825
-
Wavefronts for a cooperative tridiagonal system of differential equations
-
Hankerson, D., and Zinner, B. (1993). Wavefronts for a cooperative tridiagonal system of differential equations. J. Dyn. Diff. Eq. 5, 359-373.
-
(1993)
J. Dyn. Diff. Eq.
, vol.5
, pp. 359-373
-
-
Hankerson, D.1
Zinner, B.2
-
20
-
-
24344505126
-
Analysis of Newton's method to compute travelling wave solutions to lattice differential equations
-
Mathematical Institute Leiden
-
Hupkes, H. J., and Verduyn-Lunel, S. M. (2003). Analysis of Newton's Method to Compute Travelling Wave Solutions to Lattice Differential Equations. Technical Report 2003-09, Mathematical Institute Leiden.
-
(2003)
Technical Report
, vol.2003
, Issue.9
-
-
Hupkes, H.J.1
Verduyn-Lunel, S.M.2
-
21
-
-
0034178527
-
Traveling waves in the fermi-pasta-ulam lattice
-
Iooss, G. (2000), Traveling waves in the Fermi-Pasta-Ulam Lattice. Nonlinearity 13, 849-866.
-
(2000)
Nonlinearity
, vol.13
, pp. 849-866
-
-
Iooss, G.1
-
22
-
-
0034349011
-
Traveling waves in a chain of coupled nonlinear oscillators
-
Iooss, G., and Kirchgässner, K. (2000). Traveling waves in a chain of coupled nonlinear oscillators. Comm. Math. Phys. 211, 439-464.
-
(2000)
Comm. Math. Phys.
, vol.211
, pp. 439-464
-
-
Iooss, G.1
Kirchgässner, K.2
-
24
-
-
0023362335
-
Propagation and its failure in coupled systems of discrete excitable cells
-
Keener, J. P. (1987). Propagation and its failure in coupled systems of discrete excitable cells. SIAM J. Appl.Math. 47, 556-572.
-
(1987)
SIAM J. Appl.Math.
, vol.47
, pp. 556-572
-
-
Keener, J.P.1
-
25
-
-
0000234351
-
Propagation failure in arrays of coupled bistable chemical reactors
-
Laplante, J, P., and Erneux, T. (1992). Propagation failure in arrays of coupled bistable chemical reactors. J. Phys. Chem. 96, 4931-934.
-
(1992)
J. Phys. Chem.
, vol.96
, pp. 4931-4934
-
-
Laplante, J.P.1
Erneux, T.2
-
26
-
-
0001238052
-
Spatial patterns, spatial chaos and traveling waves in lattice differential equations
-
Royal Netherlands Academy of Sciences. Proceedings, Physics Section. Series 1, Amsterdam
-
Mallet-Paret, J. (1996). Spatial patterns, spatial chaos and traveling waves in lattice differential equations, In Stochastic and Spatial Structures of Dynamical Systems, Royal Netherlands Academy of Sciences. Proceedings, Physics Section. Series 1, Vol. 45. Amsterdam, pp. 105-129.
-
(1996)
Stochastic and Spatial Structures of Dynamical Systems
, vol.45
, pp. 105-129
-
-
Mallet-Paret, J.1
-
27
-
-
0001935025
-
The Fredholm alternative for functional differential equations of mixed type
-
Mallet-Paret, J. (1999). The Fredholm alternative for functional differential equations of mixed type. J. Dyn. Diff. Eqn. 11, 1-48.
-
(1999)
J. Dyn. Diff. Eqn.
, vol.11
, pp. 1-48
-
-
Mallet-Paret, J.1
-
28
-
-
53149083400
-
The global structure of traveling waves in spatially discrete dynamical Systems
-
Mallet-Paret, J. (1999). The global structure of traveling waves in spatially discrete dynamical Systems. J. Dyn. Diff. Eqn. 11, 49-128.
-
(1999)
J. Dyn. Diff. Eqn.
, vol.11
, pp. 49-128
-
-
Mallet-Paret, J.1
-
30
-
-
84875116305
-
Exponential dichotomies and Wiener-Hopf factorizations for mixed-type functional differential equations
-
to appear
-
Mallet-Paret, J., and Verduyn-Lunel, S. M. Exponential dichotomies and Wiener-Hopf factorizations for mixed-type functional differential equations, to appear in J. Diff. Eq.
-
J. Diff. Eq.
-
-
Mallet-Paret, J.1
Verduyn-Lunel, S.M.2
-
33
-
-
0001328238
-
Driven Frenkel-Kontorova model I. Uniform sliding states and dynamical domains of different particle densities
-
Strunz, T., and Elmer, F. J. (1998). Driven Frenkel-Kontorova model I. Uniform sliding states and dynamical domains of different particle densities. Phys. Rev. E 58, 1601-1611.
-
(1998)
Phys. Rev. e
, vol.58
, pp. 1601-1611
-
-
Strunz, T.1
Elmer, F.J.2
-
34
-
-
4243604504
-
Driven Frenkel-Kontorova model II. Chaotic sliding and nonequilibrium melting and freezing
-
Strunz, T., and Elmer, F. J. (1998). Driven Frenkel-Kontorova model II. Chaotic sliding and nonequilibrium melting and freezing. Phys. Rev. E 58, 16120-1620.
-
(1998)
Phys. Rev. e
, vol.58
, pp. 16120-21620
-
-
Strunz, T.1
Elmer, F.J.2
-
35
-
-
0001651766
-
Asymptotic and periodic boundary value problems of mixed FDE's and wave solutions of lattice differential equations
-
Wu, J., and Zou, X. (1997). Asymptotic and periodic boundary value problems of mixed FDE's and wave solutions of lattice differential equations. J. Diff. Eg. 135, 315-357.
-
(1997)
J. Diff. Eg.
, vol.135
, pp. 315-357
-
-
Wu, J.1
Zou, X.2
-
36
-
-
0004711956
-
Existence of traveling wavefront solutions for the discrete Nagumo Equation
-
Zinner, B. (1992). Existence of traveling wavefront solutions for the discrete Nagumo Equation. J. Diff Eg. 96, 1-27.
-
(1992)
J. Diff Eg.
, vol.96
, pp. 1-27
-
-
Zinner, B.1
-
37
-
-
0004711956
-
Stability of traveling wavefronts for the discrete Nagumo Equation
-
Zinner, B. (1992). Stability of traveling wavefronts for the discrete Nagumo Equation. J. Diff. Eg. 96, 1-27.
-
(1992)
J. Diff. Eg.
, vol.96
, pp. 1-27
-
-
Zinner, B.1
-
38
-
-
0002802598
-
Traveling wavefronts for the discrete Fisher's equations
-
Zinner, B., Harris, G., and Hudson, W. (1993). Traveling wavefronts for the discrete Fisher's equations. J. Diff. Eg. 105, 46-62.
-
(1993)
J. Diff. Eg.
, vol.105
, pp. 46-62
-
-
Zinner, B.1
Harris, G.2
Hudson, W.3
|