In (Bernier in Exact splitting methods for semigroups generated by inhomogeneous quadratic differential operators. arXiv:1912.13219 , (2019)), some exact splittings are proposed equations including, example, transport equations, Fokker–Planck and Schrödinger type with an angular momentum rotation term. this work, these used combined pseudo-spectral space. High accuracy efficiency of illustrated...

Abstract We consider strongly convex distributed consensus optimization over connected networks. EFIX, the proposed method, is derived using quadratic penalty approach. In more detail, we use standard reformulation—transforming original problem into a constrained in higher dimensional space—to define sequence of suitable subproblems with increasing parameters. For objectives, corresponding cons...

We study in detail the Schr\"{o}dinger equation corresponding to four dimensional $SU(2)$ $\mathcal{N}=2$ SQCD theory with one flavour. calculate Voros symbols, or quantum periods, different ways: Borel summation of WKB series, direct computation Wronskians exponentially decaying solutions, TBA equations Gaiotto-Moore-Neitzke/Gaiotto, and instanton counting. make computations by all these metho...