Abstract We prove a-posteriori error-estimates for reduced-order modeling of quasilinear parabolic PDEs with non-monotone nonlinearity. consider the solution a semi-discrete in space equation as reference, and therefore incorporate reduced basis-, empirical interpolation-, time-discretization-errors our consideration. Numerical experiments illustrate results.

The present study was carried out to evaluate three interpolation methods including weighted moving average (WMA) with the power of 2 and 3, Kriging and Cokriging methods. Data of 23 wells in Mazandaran province were collected in fall and spring 2006. Seven parameters including electrical conductivity (EC), pH, total dissolved solids (TDS), sodium adsorption ratio (SAR), total hardness (TH), ch...

We consider problems where one seeks m×m matrix valued H∞ functions w(ξ) which satisfy interpolation constraints and a bound (0.1) w∗(ξ)w(ξ) ≤ ρmin, |ξ| < 1, where the m×m positive semi-definite matrix ρmin is minimal (no smaller than) any other matrix ρ producing such a bound. That is, if (0.2) w∗(ξ)w(ξ) ≤ ρ, |ξ| < 1, and if ρmin − ρ is positive semi-definite, then ρmin = ρ. This is an example...

A South Wales gypsy kindred of Romany origin had a high incidence of phenylketonuria along with other recessively inherited disorders. There was a high degree of consanguinity (F = 0-017) with an excess of non-specific mental subnormality among known consanguineous matings. Phenylketonuria and a number of other recessively inherited disorders have been recorded from other Romany gypsy populatio...

cellular and molecular pathways link thrombosis and innate immune system during sepsis. extrinsic pathway activation of protease thrombin through fviia and tissue factor (tf) in sepsis help activate its endothelial cell (ec) membrane protease activated receptor 1 (par-1). thrombin adjusts the ec cycle through activation of g proteins (g12/13), and later through rho gefs (guanine nucleotide exch...

Semi-Lagrangian methods have been around for some time, dating back at least to [3]. Researchers have worked to increase their accuracy, and these schemes have gained newfound interest with the recent widespread use of adaptive grids where the CFL-based time step restriction of the smallest cell can be overwhelming. Since these schemes are based on characteristic tracing and interpolation, they...

In this paper, quadratic and sextic B-splines are used to construct an approximating function based on the integral values instead of the function values at the knots. This process due to the type of used B-splines (fourth order or sixth order), called integro quadratic or sextic spline interpolation. After introducing the integro quartic and sextic B-spline interpolation, their convergence is ...