In Chap. 6, we derived the expressions for the displacement fields caused by the Green’s function of the Lamb’s problem and shear dislocation sources. These expressions can be represented as double integrals over wavenumber and frequency. The next challenge is how to compute these integrals. There are two approaches: One approach is to use various asymptotic analysis techniques to directly obtain closed-form analytical solutions, as many mathematicians, including Lamb himself, did in the first half of the 20th century. In fact, the Green’s function for the two-dimensional Lamb’s problem does have a closed-form solution, while the three-dimensional problem has a generalized closed-form analytical solution. However, using frequency domain analysis makes it difficult to obtain generalized closed-form solutions. Clearly, from the perspective of obtaining accurate rather than asymptotic solutions, this approach is not ideal.