Several flux-splitting methods for the inviscid terms of the compressible-flow equations are derived for gases that are not in chemical equilibrium. Formulas are presented for the extension to chemical nonequilibrium of the Steger-Warming and Van Leer flux-vector splittings, and the Roe flux-difference splitting. The splittings are incorporated in a TVD algorithm and applied to one-dimensional ...

From Definition 1.1, checking a polynomial is separable requires building a splitting field to check the roots are distinct. But we will see in Section 2 a criterion for deciding when a polynomial is separable (that is, has no multiple roots) without having to work in a splitting field. In Section 3 we will define what it means for a field extension to be separable and then prove the primitive ...

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 ...

We show finiteness results on torsion points of commutative algebraic groups over a $p$-adic field $K$ with values in various extensions $L/K$ infinite degree. mainly study the following cases: (1) $L$ is an abelian extension which splitting crystalline character (such as Lubin–Tate extension). (2) certain iterate associated formal groups.

Over the last ten years, robustness of schemes has raised an increasing interest among the CFD community. The objective of this article is to solve the quasi-one-dimensional compressible flow inside a “Shubin nozzle” and to investigate Bean-Warming and flux vector splitting methods for numerical solution of compressible flows. Two different conditions have been considered: first, there is a sup...

the aim of this study is investigation on effect of stem end splitting and geranium essential oil on vase life on quality of cut chrysanthemum (dendranthema grandiflorum l.). this experiment arranged as factorial based on rcd with 2 factors of stem end splitting at 2 levels (with splitting and without splitting) and geranium essential oil at 6 levels (0, 1, 2, 4, 8 and 10 %), with 12 treatments...

Consider the linear system Ax=b where the coefficient matrix A is an M-matrix. In the present work, it is proved that the rate of convergence of the Gauss-Seidel method is faster than the mixed-type splitting and AOR (SOR) iterative methods for solving M-matrix linear systems. Furthermore, we improve the rate of convergence of the mixed-type splitting iterative method by applying a preconditio...

A mean-value formula for a linear partial differential hyperbolic equation with an operator splitting into first-order factors is obtained. This can be interpreted as extension of the Ásgeirsson principle.

For the improvement the postharvest longevity of cut alstroemeria (Alstroemeria hybrida L.), a factorial experiment was carried out based on RCD with 2 factors of stem end splitting at two levels (5 cm splitting and without splitting) and ethanol at five levels (0, 1, 2, 4 and 6%), 10 treatments, 3 replications and 30 plots. In this experiment, the estimated traits included vase life, water abs...

We shed light on the structure of the “three-operator” version of the forward-Douglas– Rachford splitting algorithm for nding a zero of a sum of maximally monotone operators A+B+C, where B is cocoercive, involving only the computation of B and of the resolvent ofA and of C, separately. We show that it is a straightforward extension of a xed-point algorithm proposed by us as a generalization o...