Progress in methods to solve the Faddeev and Yakubovsky differential equations

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We shortly recall the derivation of the Faddeev-Yakubovsky differential equations and point out their main advantages. Then we give a review of the numerical approaches used to solve the bound-state and scattering problems for the three- and four-body systems based on these equations. A particular attention is payed to the latest developments.
A review article based on a talk given at the 20th European Conference on Few-Body Problems in Physics

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