Computing solutions of convection-diffusion equations, especially in the convection dominated case, is an important and challenging problem that requires development of fast, reliable numerical methods. We propose a second-order fast explicit operator splitting (FEOS) method based on the Strang splitting. The main idea of the method is to solve the parabolic problem via a discretization of the ...

Linear mixed models are frequently used for analysing heterogeneous data in a 1 broad range of applications. The restricted maximum likelihood method is often preferred to 2 estimate co-variance parameters in such models due to its unbiased estimation of the underlying 3 variance parameters. The restricted log-likelihood function involves log determinants of a 4 complicated co-variance matrix. ...

Mixed-valent Mn/O dinuclear and polynuclear molecular compounds containing Mn are almost without exception trapped valence. Large differences between the strengths of the exchange interactions within MnMn, MnMn and MnMn pairs lead to situations where MnMn interactions, the strongest of the three mentioned and antiferromagnetic in nature, dominate the intramolecular spin alignments in trinuclear...

The progress made during the past decade in the application of mixed finite element methods to solve viscoelastic flow problems using differential constitutive equations is reviewed. The algorithmic developments are discussed in detail. Starting with the classical mixed formulation, the elastic viscous stress splitting (EVSS) method as well as the related discrete EVSS and the so-called EVSS-G ...

In semi supervised clustering is one of the major tasks and aims at grouping the data objects into meaningful classes (clusters) such that the similarity of objects within clusters is maximized and the similarity of objects between clusters is minimized. The dataset sometimes may be in mixed nature that is it may consist of both numeric and categorical type of data. Naturally these two types of...

Two-step water-splitting with a carbon-bearing Ni(II) ferrite (CBNF) at 300°C has been studied. The chemical analysis of the solid phase showed that the CBNF was gradually oxidized during repeated water splitting, but the evolved H2 amount is 1.5-2 times larger than that expected &om the oxidation of the CBNF. Following two types of hydrogen evolution reactions are considered to be participated...

A new numerical scheme based on the H-Galerkin mixed finite element method for a class of second-order pseudohyperbolic equations is constructed. The proposed procedures can be split into three independent differential sub-schemes and does not need to solve a coupled system of equations. Optimal error estimates are derived for both semidiscrete and fully discrete schemes for problems in one spa...

In this paper we restrict every set splitting problem to the special case in which every set has just three elements. This restricted version is also NP-complete. Then, we introduce a general conversion from any set splitting problem to 3-set splitting. Then we introduce a randomize algorithm, and we use Markov chain model for run time complexity analysis of this algorithm. In the last section ...