### Table 4: A comparison of the asymptotic and numerical results for c for the Cahn-Hilliard equation ( = 0) with quot; = 0:02.

2000

Cited by 5

### Table 5. Second Betti numbers for the masked example from Cahn-Hilliard equation.

Cited by 1

### Table 8. Comparison of ASLTsh and LS on an un- masked example from Cahn-Hilliard equation.

Cited by 1

### Table 5. Second Betti numbers for the masked example from Cahn-Hilliard equation.

Cited by 1

### Table 1: A comparison of the asymptotic and numerical results for t = t(d3) for the Cahn-Hilliard equation ( = 0) with quot; = 0:03 . The initial values of xj for j = 0; : : : ; 5 were -0.70,-0.40,-0.10,0.15, 0.50, 0.80.

2000

"... In PAGE 10: ...ore than three signi cant digits. In Fig. 2 { 4, we plot the full numerical solutions at di erent times to (2.1) corresponding to the parameter values used for Table1 { 3, respectively. The behavior of the solution during the metastable phase and the collapse phase shown in these gures will be discussed in the next few sections.... ..."

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### Table 2: A comparison of the asymptotic and numerical results for t = t(d3) for the viscous Cahn-Hilliard equation ( = 0:5) with quot; = 0:04 . The initial values of xj for j = 0; : : : ; 5 were -0.70,-0.40,-0.10,0.15, 0.50,0.80.

2000

Cited by 5

### Table 6: Numerical results (using TMOL) for the Cahn-Hilliard equation ( = 0) at two di erent times corresponding to the parameter values used for Figs. 6(a) and (b). Here, xj for j = 0; : : : ; 5 are the locations of the internal layers, ej xj ? x0 j and j ej=ej+1.

2000

Cited by 5

### TABLE 1a (Cahn-Hilliard): Results for d0 = d0(t) for Q(u) = 2(u ? u3) and = :05: The initial values x0 0 = ?:40500702 and x0 1 = :54527721 at t = 14:42 were used to calibrate the asymptotic results.

1995

"... In PAGE 20: ...1391350379 1012 0.1391450083 1012 TABLE1 b (Cahn-Hilliard): Results for d0 = d0(t) for = :08 and Q(u) given by (3:2) with r0 = 1:3: The initial values x0 0 = ?:49613511 and x0 1 = :41551949 at t = 14:42 were used to calibrate the asymptotic results.... ..."

Cited by 15

### TABLE 1a (Cahn-Hilliard): Results for d0 = d0(t) for Q(u) = 2(u ? u3) and = :05: The initial values x0 0 = ?:40500702 and x0 1 = :54527721 at t = 14:42 were used to calibrate the asymptotic results.

1995

"... In PAGE 19: ...1391350379 1012 0.1391450083 1012 TABLE1 b (Cahn-Hilliard): Results for d0 = d0(t) for = :08 and Q(u) given by (3:2) with r0 = 1:3: The initial values x0 0 = ?:49613511 and x0 1 = :41551949 at t = 14:42 were used to calibrate the asymptotic results.... ..."

Cited by 15

### Table 4: Condensed Transition Matrices corresponding to Spatial Chaos that allow the constant mosaic solutions only occur for f M2 and no other ve-tuples arise in this case.Finally note that we have always taken our parameter regions to be open and have not considered what happens on the boundaries of parameter regions. If we were interested in the boundaries of the parameter regions, then we should consider the class of mosaic solutions SL( ; ; ) de ned in De nition 4.11 rather than SL ( ; ; ), because in forming SL ( ; ; ) as a subset of SL( ; ; ) we removed the possibility of some solutions occurring on the parameter boundaries. However, since the spatially discrete Cahn-Hilliard equation models certain physical

"... In PAGE 24: ... III: Spatial Chaos For gt; 0 and 0 lt; lt; 3 ; gt; 0; lt; 0 and lt; 3 ; or lt; 0; and 0 lt; 3 lt; ; spatial chaos arises. The corresponding condensed transition matrices f M5 : : :; f M10 are given in Table4 and their corresponding parameter ranges and eigenvalues are given in Table 5. In Table 6 we list the admissible ve-tuples for each condensed transition matrix f Mi.... ..."