Differential equations and high-energy expansion of two--loop diagrams in D dimensions

New method of calculation of master integrals using differential equations and asymptotical expansion is presented. This method leads to the results exact in space-time dimension $D$ having the form of the convergent power series. As an application of this method, we calculate the two–loop master integral for “crossed–triangle” topology which was previously known only up to $O(\text{ep})$ order. The case when a topology contains several master integrals is also considered. We present an algorithm of the term-by-term calculation of the asymptotical expansion in this case and analyze in detail the “crossed–box” topology with three master integrals.