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Table 4 Tempered growth in computational cost in the setting of Example 4

From: Fast rapidly convergent penetrable scattering computations

\({\varvec{N}}^{\mathcal B}_{\varvec{u}}\)

\({\varvec{N}}^{\mathcal B}_{\varvec{t}}\)

\({\varvec{N}}^{\mathcal I}_{\varvec{u}}\)

\({\varvec{N}}^{\mathcal I}_{\varvec{t}}\)

\({\varvec{\varepsilon }}_{\varvec{2}}\)

\({\varvec{\varepsilon }}_{\varvec{\infty }}\)

\({\varvec{\kappa }}_{\varvec{e}}\)

Time (S)

\(33\)

\(9\)

\(33\)

\(33\)

\(2.79\times 10^{-2}\)

\(7.16\times 10^{-3}\)

\(4\)

\(1.53\)

\(65\)

\(17\)

\(65\)

\(65\)

\(2.20\times 10^{-3}\)

\(2.64\times 10^{-3}\)

\(8\)

\(6.8\)

\(129\)

\(33\)

\(129\)

\(129\)

\(4.60\times 10^{-4}\)

\(5.93\times 10^{-4}\)

\(16\)

\(25.7\)

\(257\)

\(65\)

\(257\)

\(257\)

\(1.02\times 10^{-4}\)

\(1.23\times 10^{-4}\)

\(32\)

\(102.6\)