Forward–backward trajectory formulations of time correlation functions are reviewed. Combination of the forward and reverse time evolution operators within the time-dependent semiclassical approximation minimizes phase cancellation, giving rise to an efficient methodology for simulating the dynamics of low-temperature fluids. A quantum mechanical version of the forward–backward formulation, bas...

This work is concerned with the classical problem of finding a zero of a sum of maximal monotone operators. For the projective splitting framework recently proposed by Combettes and Eckstein, we show how to replace the fundamental subproblem calculation using a backward step with one based on two forward steps. The resulting algorithms have the same kind of coordination procedure and can be imp...

The effects of non-local operators in rare B decays, B → X s l + l − , are investigated through the model independent analysis. It deals with complete twelve four-Fermi interactions, including two non-local ones which are constrained by the experimental result of the B → X s γ decay. The branching ratio and the forward-backward asymmetry are studied as functions of the twelve Wilson coefficient...

Let X be a forward diffusion and Y a backward diffusion, both defined on [-0, 1], X t and yt being respectively adapted to the past of a Wiener process W(.), and to its future increments. We construct a "two-sided" stochastic integral of the form. t q~(u, X,, Y") dW(u) 0 which generalizes the backward and forward It6 integrals simultaneously. Our construction is quite intuitive, and leads to a ...

In this paper, we study the backward-forward algorithm as a splitting method to solve structured monotone inclusions, and convex minimization problems in Hilbert spaces. It has a natural link with the forward-backward algorithm and has the same computational complexity, since it involves the same basic blocks, but organized differently. Surprisingly enough, this kind of iteration arises when st...