The convergence of a Runge-Kutta (RK) scheme with multigrid is accelerated by preconditioning with a fully implicit operator. With the extended stability of the Runge-Kutta scheme, CFL numbers as high as 1000 can be used. The implicit preconditioner addresses the stiffness in the discrete equations associated with stretched meshes. This RK/implicit scheme is used as a smoother for multigrid. Fo...

Solid male lure dispensers containing methyl eugenol (ME) and raspberry ketone (RK), or mixtures of the lures (MEþRK), and dimethyl dichloro-vinyl phosphate (DDVP) were evaluated in area-wide pest management bucket or Jackson traps in commercial papaya (Carica papaya L.) orchards where both oriental fruit fly, Bactrocera dorsalis (Hendel), and melon fly, Bactrocera cucurbitae (Coquillett), are ...

For a graph L and an integer k ≥ 2, Rk(L) denotes the smallest integer N for which for any edge-colouring of the complete graph KN by k colours there exists a colour i for which the corresponding colour class contains L as a subgraph. Bondy and Erdős conjectured that for an odd cycle Cn on n vertices, Rk(Cn) = 2 k−1(n− 1) + 1 for n > 3. They proved the case when k = 2 and also provided an upper...

Various enumerations of labeled trees and forests, including Cayley's formula n for the number of trees labeled by [n], and Cayley's multinomial expansion over trees, are derived from the following coalescent construction of a sequence of random forests (Rn , Rn&1 , ..., R1) such that Rk has uniform distribution over the set of all forests of k rooted trees labeled by [n]. Let Rn be the trivial...

RK-1409, a new inhibitor of protein kinase C, was isolated from the culture broth of Streptomyces platensis subsp. malvinus RK-1409. The structure was elucidated as 7-oxostaurosporine on the basis of spectroscopic analyses and oxidation of staurosporine.

Research & Development in Material Science Introduction to Biomaterials Used Medical Anjali Gupta and Shukla RK* Department of Physics, University Lucknow, India *Corresponding author: RK, Lucknow-226007, Submission: October 18, 2022;Published: 27, 2022 DOI: 10.31031/RDMS.2022.18.000928 ISSN: 2576-8840 Volume 18 Issue 1