Abstract: In this talk, the tailored finite point method (TFPM) is introduced. The TFPM is a new approach to construct the numerical solutions of differential equations. Especially, TFPM is very efficient for the solutions which are not smooth enough, for example, when the solutions possess boundary/interior layers or the solutions are highly oscillatory.The TFPM has been applied to many problems for example singular perturbation problems, one-dimensional Helmholtz equation, multi-scale second-order elliptic equations with rough or highly oscillatory coefficients and the singular eigenvalues problems anisotropic diffusion problems. The TFPM provides new ideas and a new perspective to construct the numerical schemes for differential equations. The numerical scheme at each point is tailored/constructed based on some properties of the solution of the given problem at that point. In many cases, the schemes given by TFPM preserve important properties of the solution of the given problem. Therefore, even on a very coarse mesh, the numerical solutions given by TFPM can still capture the important properties of the given problem. The TFPM is now at the development stage. Further applications of the method are expected in the future.