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Table 6 Periodic case: Computational errors in the energy norm and experimental orders of convergence for P 1 approximation on a consequence of meshes at time instances t ( τ= 10 3 )

From: Analysis and application of the discontinuous Galerkin method to the RLW equation

h

t = 5.0

t = 10.0

t = 15.0

t = 20.0

err h 1

EOC

err h 1

EOC

err h 1

EOC

err h 1

EOC

0.80

9.029E-03

-

9.004E-03

-

9.115E-03

-

9.251E-03

-

0.40

4.615E-03

0.968

4.658E-03

0.951

4.767E-03

0.935

4.862E-03

0.928

0.20

2.370E-03

0.961

2.488E-03

0.905

2.597E-03

0.876

2.770E-03

0.812

0.10

1.275E-03

0.894

1.363E-03

0.868

1.502E-03

0.790

1.601E-03

0.790

0.05

6.906E-04

0.885

7.533E-04

0.856

8.569E-04

0.809

9.154E-04

0.807