Oil, gas, and geothermal reservoirs, and overlying strata are often composed of anisotropic rocks. Proper treatment of anisotropy during the processing of seismic data not only helps to avoid distortions in reservoir imaging, but also provides estimates of the anisotropic coefficients, which carry valuable information about lithology and fracture networks. Accurate estimation of the velocity mo...

Using Langevin dynamics simulations in three dimensions, we investigate the dynamics of polymer translocation into the regions between two parallel plane walls with separation R under a driving force F. Compared with an unconfined environment, the translocation dynamics is greatly changed due to the crowding effect of the partially translocated monomers. The translocation time tau initially dec...

We prove a Vasyunin-type formula for an autocorrelation function arising from Nyman-Beurling criterion generalized to probabilistic framework. This can also be seen as reciprocity cotangent sums, related the ones proven in [BC13], [ABB17].

Padé-type approximants are rational functions that approximate a given formal power series. Boutry [Numer. Algorithms, 33 (2003), pp 113–122] constructed correspond to the averaged Gauss quadrature rules introduced by Laurie [Math. Comp., 65 (1996), pp. 739–747]. More recently, Spalević 76 (2007), 1483–1492] proposed optimal rules, have higher degree of precision than corresponding with...