The assessment of dynamic stability and controllability of a ship in large waves requires the accurate computation of nonlinear hydrostatic and Froude-Krylov forces. This has been studied by dynamic stability researchers and has become of interest in modelling of renewable energy devices. The topic is also relevant for the combined problems of seakeeping and maneuvering, which has been under discussion due to new regulations and standards. This paper compares the accuracy and efficiency of various methods to compute hydrostatic and Froude-Krylov forces, including linear, non-linear or body-exact, and approximations in between. Theoretical and numerical methods are reviewed, including an a approach using a series expansion to approximate the pressure. Example cases for different hull types and wave conditions are given. The accuracy, limitations, and suitability of different methods is discussed. The algorithms and computational effort are reviewed.

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