On a theorem of Brunovsky for periodic optimal control
On a Theorem of Stein-Rosenberg Type in Interval Analysis.
On a variant of the local projection method stable in the SUPG norm
We consider the local projection finite element method for the discretization of a scalar convection-diffusion equation with a divergence-free convection field. We introduce a new fluctuation operator which is defined using an orthogonal projection with respect to a weighted inner product. We prove that the bilinear form corresponding to the discrete problem satisfies an inf-sup condition with respect to the SUPG norm and derive an error estimate for the discrete solution.
On a variant of the matrix transformation method for approximate solution of partial differential equations of second degree
On a variational estimation of error
On a weighted quasi-residual minimization strategy for solving complex symmetric shifted linear systems.
On ab-initio computations for phase change problems in solids
On acceleration methods for coupled nonlinear elliptic systems.
On adaptive BDDC for the flow in heterogeneous porous media
We study a method based on Balancing Domain Decomposition by Constraints (BDDC) for numerical solution of a single-phase flow in heterogeneous porous media. The method solves for both flux and pressure variables. The fluxes are resolved in three steps: the coarse solve is followed by subdomain solves and last we look for a divergence-free flux correction and pressures using conjugate gradients with the BDDC preconditioner. Our main contribution is an application of the adaptive algorithm for selection...
On additive scharz preconditioners for sparse grid discretizations.
On algebraic multilevel methods for non-symmetric systems - convergence results.
On algorithmical testing tables of random numbers.
On algorithms for parabolic splines
On almost sure convergence of modified Euler-Peano approximation of solution to an S.D.E. driven by a semimartingale
On alternative functional equations. (Short Communication).
On an accelerated procedure of extrapolation.
On an accuracy of change points
On an algorithm for testing T4 solvability of max-plus interval systems
In this paper, we shall deal with the solvability of interval systems of linear equations in max-plus algebra. Max-plus algebra is an algebraic structure in which classical addition and multiplication are replaced by and , where , . The notation represents an interval system of linear equations, where and are given interval matrix and interval vector, respectively. We can define several types of solvability of interval systems. In this paper, we define the T4 solvability and give an algorithm...
On an analogous iterative method with the method of the tangent hyperbolas
On an application of a Newton-like method to the approximation of implicit functions