In this paper, we apply our proposed early parallel adaptive computing methodology for numerical solution of semiconductor device equations with triangular meshing technique. This novel simulation based on adaptive triangular mesh, finite volume, monotone iterative, and a posteriori error estimation methods, is developed and successfully implemented on a Linux-cluster with message passing inter...

We prove that the drift θ(d, β) for excited random walk in dimension d is monotone in the excitement parameter β ∈ [0, 1], when d ≥ 9.

RECENTLY G. C. Young* and A. Denjoyf have communicated theorems—those in Denjoy's memoir are of an especially comprehensive character—dealing, in particular, with point sets where the four derivatives of a given continuous function are identical. It is the purpose of this note to treat an analogous problem that arises when "derivative" is replaced by "saltus."$ However, instead of confining our...

We consider semilinear equations with unbounded drift in the whole of R and we show that monotone solutions with finite energy are one-dimensional.

In [1] we defined semi-monotone sets, as open bounded sets, definable in an o-minimal structure over the reals (e.g., real semialgebraic or subanalytic sets), and having connected intersections with all translated coordinate cones in Rn. In this paper we develop this theory further by defining monotone functions and maps, and studying their fundamental geometric properties. We prove several equ...

In [1] we defined semi-monotone sets, as open bounded sets, de-finable in an o-minimal structure over the reals, and having connected intersections with all translated coordinate cones in R n. In this paper we develop this theory further by defining monotone functions and maps, and studying their fundamental geometric properties. We prove several equivalent conditions for a bounded continuous d...

We shall prove new contraction properties of general transportation costs along nonnegative measure-valued solutions to Fokker– Planck equations in Rd , when the drift is a monotone (or λ-monotone) operator. A new duality approach to contraction estimates has been developed: it relies on the Kantorovich dual formulation of optimal transportation problems and on a variable-doubling technique. Th...

‎in this work we prove malliavin differentiability for the solution to an sde with locally lipschitz and semi-monotone drift‎. ‎to prove this formula‎, ‎we construct a sequence of sdes with globally lipschitz drifts and show that the $p$-moments of their malliavin derivatives are uniformly bounded‎.

Context. The Yarkovsky effect is a weak non-gravitational force leading to a small variation of the semi-major axis of an asteroid. Using radar measurements and astrometric observations, it is possible to measure a drift in semi-major axis through orbit determination. Aims. This paper aims to detect a reliable drift in semi-major axis of near-Earth asteroids (NEAs) from ground-based observation...