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Theory and Modern Applications

Table 3 With reference to Sect. 5.2, the execution time of the Chebyshev–Newmark-β method and the two-dimensional Chebyshev method as a function of the number of discretization points, N, for \(\beta =1/4\) and \(\delta =0.1\)

From: A fast-convolution based space–time Chebyshev spectral method for peridynamic models

N

CPU time [s]

Chebyshev–Newmark

2D Chebyshev

128

7.8416 × 100

3.6781 × 100

256

9.0142 × 101

1.3984 × 101

512

5.1257 × 102

1.0483 × 102

1024

4.6573 × 103

9.1195 × 102

2048

7.2561 × 104

6.9763 × 103