Positivity of the Cotes Numbers for some Jacobi Abscissas.
Post-buckling range of plates in axial compression with uncertain initial geometric imperfections
The method of reliable solutions alias the worst scenario method is applied to the problem of von Kármán equations with uncertain initial deflection. Assuming two-mode initial and total deflections and using Galerkin approximations, the analysis leads to a system of two nonlinear algebraic equations with one or two uncertain parameters-amplitudes of initial deflections. Numerical examples involve (i) minimization of lower buckling loads and (ii) maximization of the maximal mean reduced stress.
Postprocessing and higher order convergence for the mixed finite element approximations of the Stokes eigenvalue problems
In this paper we propose a method for improving the convergence rate of the mixed finite element approximations for the Stokes eigenvalue problem. It is based on a postprocessing strategy that consists of solving an additional Stokes source problem on an augmented mixed finite element space which can be constructed either by refining the mesh or by using the same mesh but increasing the order of the mixed finite element space.
Postprocessing of a finite volume element method for semilinear parabolic problems
In this paper, we study a postprocessing procedure for improving accuracy of the finite volume element approximations of semilinear parabolic problems. The procedure amounts to solve a source problem on a coarser grid and then solve a linear elliptic problem on a finer grid after the time evolution is finished. We derive error estimates in the L2 and H1 norms for the standard finite volume element scheme and an improved error estimate in the H1 norm. Numerical results demonstrate the accuracy...
Postprocessing schemes for some mixed finite elements
Postscript to "Generalisations of an Algorithm of Sebastiao e Silva".
Potential flows
Pour un schéma de lecture des modèles économiques complexes application à Mini-DMS
Pour une histoire du calcul graphique
Použití samočinných počítačů a automatického kreslení v deskriptivní geometrii
Power bounded prolongations and Picard-Lindelöf iteration.
Power of A Class of Goodness-of-Fit Tests I
Consider testing whether F = F0 for a continuous cdf on R = (-∞,∞) and for a random sample X1,..., Xn from F. We derive expansions of the associated asymptotic power based on the Cramer-von Mises, Kolmogorov-Smirnov and Kuiper statistics. We provide numerical illustrations using a double-exponential example with a shifted alternative.
Poznámka k řešení soustav algebraických lineárních rovnic
Poznámka ke kontrole řešení soustavy lineárních algebraických rovnic zpětnou substitucí
Practical method for solving differential equations and their systems bu means of Taylor series
Practical optimal regularization of large linear systems
Practice of operator relationships in symbolical calculus.
Preconditioned diagonally dominant property for linear systems with -matrices.
Preconditioners for least squares problems by LU factorization.
Preconditioners for saddle point linear systems with highly singular blocks.