The main issue in solving one-stage optimization problems is calculating multiple integrals (calculating the expected value of the objective function and probabilities of constraints satisfaction).
An essential point is also the calculation efficiency of the used workstation, where these problems are calculated.
Subsequently, the 19-pin and 37-pin bundle benchmark problems are calculated to validate the accuracy and applicability of the code.
The values of selectivity and capacity for water/butan-1-ol, water/ethanol, water/THF, water/1,4-dioxane and many others separation problems were calculated from γ∞13 and compared to literature values for selected ionic liquids.
Effective properties of this composite for in-plane and anti-plane local problems are calculated by means of a semi-analytic method, i.e. the differential equations that described the local problems obtained by asymptotic homogenization method are solved using the finite element method.
A suite of test problems are calculated to demonstrate stable mesh motion, the expected second order accuracy of these methods, and that the new area-weighted DG method preserves spherical symmetry on 1D radial flow problems with equal-angle polar meshes.
All the obtained results for both benchmark and engineering problems are calculated on average for 30 independent runs.
Fourth-order problems were calculated in [26] in (X_{2}) and in [27] in (X_{1}) and (X_{3}), respectively.
Hazard ratios for mortality over a median (interquartile range) of 5.4 (4.2-6.9 4.2-6.9of follow-up associated with one, two, or three to six nondisease-specific problems were calculated and stratified byearsR (≥60, 45-59, and <45 ml/min per 1.73 m(2)) and separately, albumin-tofcreatinine ratio (<30, 30-299, and ≥300 mg/g).
