On Neighbouring Matrices with Quadratic Elementary Divisors.
On nonoverlapping domain decomposition methods for the incompressible Navier-Stokes equations
In this paper, a Dirichlet-Neumann substructuring domain decomposition method is presented for a finite element approximation to the nonlinear Navier-Stokes equations. It is shown that the Dirichlet-Neumann domain decomposition sequence converges geometrically to the true solution provided the Reynolds number is sufficiently small. In this method, subdomain problems are linear. Other version where the subdomain problems are linear Stokes problems is also presented.
On nonoverlapping domain decomposition methods for the incompressible Navier-Stokes equations
In this paper, a Dirichlet-Neumann substructuring domain decomposition method is presented for a finite element approximation to the nonlinear Navier-Stokes equations. It is shown that the Dirichlet-Neumann domain decomposition sequence converges geometrically to the true solution provided the Reynolds number is sufficiently small. In this method, subdomain problems are linear. Other version where the subdomain problems are linear Stokes problems is also presented.
On parallel two-stage methods for Hermitian positive definite matrices with applications to preconditioning.
On parameter estimation in an in vitro compartmental model for drug-induced enzyme production in pharmacotherapy
A pharmacodynamic model introduced earlier in the literature for in silico prediction of rifampicin-induced CYP3A4 enzyme production is described and some aspects of the involved curve-fitting based parameter estimation are discussed. Validation with our own laboratory data shows that the quality of the fit is particularly sensitive with respect to an unknown parameter representing the concentration of the nuclear receptor PXR (pregnane X receptor). A detailed analysis of the influence of that parameter...
On perfect conditioning of Vandermonde matrices on the unit circle.
On preconditioning Schur complement and Schur complement preconditioning.
On properties of some matrix splittings.
On quadratic convergence bounds for the J-symmetric Jacobi method.
On reducing bandwidth of matrices in the Go-Away algorithm for regular grids.
On relations between right and left eigenvectors of nonselfadjoint matrix pencils
On selection of interface weights in domain decomposition methods
Different choices of the averaging operator within the BDDC method are compared on a series of 2D experiments. Subdomains with irregular interface and with jumps in material coefficients are included into the study. Two new approaches are studied along three standard choices. No approach is shown to be universally superior to others, and the resulting recommendation is that an actual method should be chosen based on properties of the problem.
On Semiiterative Methods Generated by Faber Polynomials.
On sharp quadratic convergence bounds for the serial Jacobi methods.
On solving linear algebraic equations with an ill-conditioned matrix
On some extensions of the accelerated overrelaxation (AOR) theory.
On some Modifications of the Nekrassov Method for Numerical Solution of Linear Systems of Equations
A modification of the Nekrassov method for finding a solution of a linear system of algebraic equations is given and a numerical example is shown.* This paper is partly supported by project IS–M–4 of Department for Scientific Research, Paisii Hilendarski University of Plovdiv.
On Some new Inclusion Theorems for the Eigenvalues of Partitioned Matrices.
On spectral variations under bounded real matrix perturbations.
On the Analysis of the Unsymmetric Successive Overrelaxation Method when Applied to p-Cyclic Matrices.