In this paper, we shall solve a long-standing open problem: Is it possible that the convergence rate of the Lions’ Robin-Robin nonoverlapping domain decomposition(DD) method is independent of the mesh size h? We shall design a two-parameter Robin-Robin domain decomposition method. It is shown that the new DD method is optimal, which means the convergence rate is independent of the mesh size h. ...

Applications of the operator H (α, β) to the Humbert double hypergeometric functions Abstract By making use of some techniques based upon certain inverse new pairs of symbolic operators, the author investigate several decomposition formulas associated with Humbert hypergeometric functions Φ1, Φ2, Φ3, Ψ1, Ψ2, Ξ1 and Ξ2. These operational representations are constructed and applied in order to de...

We investigate antihomomorphic images and pre images of semiprime, strongly primary, irreducible and strongly irreducible fuzzy ideals of a ring. We also prove that: For a surjective anti-homomorphism f : R → R, if every fuzzy ideal of R is f -invariant and has a fuzzy primary (respectively, strongly primary) decomposition in R, then every fuzzy ideal of R has a fuzzy primary (respectively, str...

Results of the SF, sensitized infrared pulsed laser powered homogeneous pyrolysis of dichlorosilane are reported. Pyrolyses at temperatures of 1350 to 1700 K and pressures of 150 to 230 Torr with reaction times around 7 ,us were carried out in the presence and absence of molecules that could potentially scavenge the primary decomposition products (SiHCl and/or SiCl2). We were unable to irrevers...

In this paper we investigate mechanisms for the separation of concerns in semiformal models for software specification. We identify the problems in two typical approaches (Structured Analysis and UML) and present the concepts for separation of concerns in ADORA, a specification language being developed in our research group. ADORA uses hierarchical decomposition of objects as a primary decompos...

An image watermarking scheme based on singular value decomposition and visual cryptography in discrete wavelet transform is proposed. We start with a survey of the current image watermarking technologies, and have noticed that majority of the existing schemes are not capable of resisting all attacks. We propose the idea to use of singular value decomposition and visual cryptography in discrete ...

In this study, we investigated carbon feedstock decomposition conditions on the synthesis of single-walled carbon nanotubes (SWNTs) by chemical vapour deposition. We simulated gas-phase thermal decomposition of ethanol and dimethyl ether (DME) at typical SWNT growth conditions using the chemical kinetic model, and confirmed the reaction trends and primary products using Fourier transform infrar...