We propose a group sequential Holm procedure when there are multiple primary endpoints. This method addresses multiplicities arising from multiple primary endpoints and from multiple analyses in a group sequential design. It has been shown to be a closed testing procedure and preserves the familywise error rate in the strong sense. When multiple endpoints are the only concern without an interim...

We revisit the entire framework of group classification differential equations. After introducing notion weakly similar classes equations, we develop mapping method for such classes, which generalizes all versions this that have been presented in literature. The is applied to various Kolmogorov equations and Fokker-Planck case space dimension one. equivalence groupoids groups these are computed...

background: nowadays, the health work decision makers need to analyze a huge amount of data and consider many conflicting evaluation criteria and sub-criteria. therefore, an ergonomic evaluation in the work environment in order to the control occupational disorders is considered as the multi criteria decision making (mcdm) problem. in this study, the ergonomic risks factors, which may influence...

in this study the operations of melting of au15ag40 nanoalloy have been studied using the molecular dynamic simulations through the gupta multiparticle potential and the nonergodicity of simulations is eliminated by the multiple histogram method. the melting characteristics are determined by the analysis of variations in the potential energy. the calculations indicate that the melting of au15ag...

the purpose of this letter is to revisit the nonlinear reaction-diusion modelin porous catalysts when reaction term is fractional function of the concen-tration distribution of the reactant. this model, which originates also in uidand solute transport in soft tissues and microvessels, has been recently givenanalytical solution in terms of taylors series for dierent family of reactionterms. we...

it is well known that if the coefficient matrix in a linear system is large and sparse or sometimes not readily available, then iterative solvers may become the only choice. the block solvers are an attractive class of iterative solvers for solving linear systems with multiple right-hand sides. in general, the block solvers are more suitable for dense systems with preconditioner. in this paper,...

in this paper, we present two new families of third-order and fourth-order methods for finding multiple roots of nonlinear equations. each of them requires one evaluation of the function and two of its first derivative per iteration. several numerical examples are given to illustrate the performance of the presented methods.