Chemistry-transport models involve considerable computational expense. Fine temporal resolution offers accuracy at the expense of computation time. Assessment is needed of the sensitivity of simulation accuracy to the duration of chemical and transport operators. We conduct a series of simulations with the GEOS-Chem chemistry-transport model at different temporal and spatial resolutions to exam...

In this paper, we consider two types of problems that have some similarity in their structure, namely, min-min and min-max saddle-point problems. Our approach is based on considering the outer minimization problem as a with inexact oracle. This oracle calculated via solution inner problem, which either or maximization problem. main assumptions are smooth available mixed: it only possible to eva...

We consider the integral domain restriction operator TΩ for certain bilinear operator T . We obtain that if (s, p1, p2) satisfies 1 p1 + 1 p2 ≥ 2 min{1,s} and ‖T‖Lp1×Lp2→Ls < ∞, then ‖TΩ‖Lp1×Lp2→Ls < ∞. For some special domain Ω, this property holds for triplets (s, p1, p2) satisfying 1 p1 + 1 p2 > 1 min{1,s} . 2010 Mathematics Subject Classification: 42B25.

we introduce a new concept of general $g$-$eta$-monotone operator generalizing the general $(h,eta)$-monotone operator cite{arvar2, arvar1}, general $h-$ monotone operator cite{xiahuang} in banach spaces, and also generalizing $g$-$eta$-monotone operator cite{zhang}, $(a, eta)$-monotone operator cite{verma2}, $a$-monotone operator cite{verma0}, $(h, eta)$-monotone operator cite{fanghuang}, $h$-...

‎Some improvements of Young inequality and its reverse for positive‎ ‎numbers with Kantorovich constant $K(t‎, ‎2)=frac{(1+t)^2}{4t}$‎ ‎are given‎. ‎Using these inequalities some operator inequalities and‎ ‎Hilbert-Schmidt norm versions for matrices are proved‎. ‎In‎ ‎particular‎, ‎it is shown that if $a‎, ‎b$ are positive numbers and‎ ‎$0 leqslant nu leqslant 1,$ then for all integers $ kgeqsl...