Ordering and incomplete factorization issues for matrices arising from the TRANAIR CFD code. A locally reened rectangular grid nite element method: Application to computational uid dynamics and computational physics. A comparison of domain decomposition techniques for elliptic partial diierential equations and their parallel implementation. Inexact Newton's method solutions to the incompressibl...

Large sparse non-symmetric linear systems of equations often occur in many scientific and engineering applications. In this paper, we present a comparative study of some preconditioned Krylov iterative methods, namely CGS, Bi-CGSTAB, TFQMR and GMRES for solving such systems. To demonstrate their efficiency, we test and compare the numerical implementations of these methods on five numerical exa...

We demonstrate algorithm-based fault tolerance for silent, transient data corruption in “black-box” preconditioners. We consider both additive Schwarz domain decomposition with an ILU(k) subdomain solver, and algebraic multigrid, both implemented in the Trilinos library. We evaluate faults that corrupt preconditioner results in both single and multiple MPI ranks. We then analyze how our approac...

ILU(k) is an important preconditioner widely used in many linear algebra solvers for sparse matrices. Unfortunately, there is still no highly scalable parallel ILU(k) algorithm. This paper presents the first such scalable algorithm. For example, the new algorithm achieves 50 times speedup with 80 nodes for general sparse matrices of dimension 160,000 that are diagonally dominant. The algorithm ...

using qcd factorization for the hadronic matrix elements, we show that existing data, inparticular the branching ratios br ( b →j/ψk) and br ( b →j/ψπ), can be accounted for in this approach.we analyze the decay b j /k( ) within the framework of qcd factorization. the calculation of therelevant hard-scattering kernels for twist-2 and twist-3 is completed. we calculate this decay in a special...

The triple factorization of a group $G$ has been studied recently showing that $G=ABA$ for some proper subgroups $A$ and $B$ of $G$, the definition of rank-two geometry and rank-two coset geometry which is closely related to the triple factorization was defined and calculated for abelian groups. In this paper we study two infinite classes of non-abelian finite groups $D_{2n}$ and $PSL(2,2^{n})$...

The installation for sterilization of disposal medical goods based on the ILU electron accelerators Are described. The industrial installation is running where the syringes are sterilized in consumer packs directly by the electron beam having energy of 2.6 MeV. The different irradiation technologies for immobilization of enzymes, production of medical preparations and gels for medical and techn...

Since it is well-known that the Vandermonde matrix is ill-conditioned, while the interpolation itself is not unstable in function space, this paper surveys the choices of other new bases. These bases are data-dependent and are categorized into discretely l2-orthonormal and continuously L2-orthonormal bases. The first one construct a unitary Gramian matrix in the space l2(X) while the late...