  I review recent research and advances in algorithms for solvers and gauge
generation, with an emphasis on practical algorithms for four dimensional
simulations. Particular consideration is given to advances in multigrid
solvers, fourier acceleration and field transformation approaches to
accelerating evolution dynamics, and to parallel tempering approaches to
solving the topological tunneling problem. Particular consideration is given to
the interaction between rapidly evolving computer architecture and optimal
algorithms that exploit these. In this conference, nascent machine learning
algorithms were separately reviewed
