Before revision:  By considering such truncation operation as a nonlinear operator in the space of tensors , we prove various consistency results and errors estimates for a wide range of step-truncation algorithms. In particular, we establish consistency between the best step-truncation method and the best tangent space projection integrator via perturbation analysis . Numerical applications are presented and discussed for a Fokker-Planck equation on a torus of dimension two and four.
After revision:  By considering such truncation operation as a nonlinear operator in the space of tensors , we prove various consistency results and errors estimates for a wide range of step-truncation methods, including explicit one-step and multi-step methods. These methods are very easy to implement as they rely only on arithmetic operations between tensors, which can be performed by efficient and scalable parallel algorithms. Adaptive step-truncation method and the best tangent space projection integrator via perturbation analysis . Numerical applications are presented and discussed for a Fokker-Planck equation on a torus of dimension two and four.