Abstract: This paper briefly presents the development in computational electromagnetic methods. First, the development of computational electromagnetic methods is outlined. Then, the development of several recent representative technologies in computational electromagnetics are elaborated, including fast direct solver, non-conformal domain decomposition, and high-performance parallelization. Next, the advances in computing typical electromagnetic problems, including target-background composite problems, large-scale finite-period structures, and electromagnetic inverse problems, are presented. Finally, summary and outlook of computational electromagnetic methods are given.