Odhad chyby Runge-Kuttovy formule
Of an Iterative Procedure for Solving the Optimization Problem into an Ellipsoid
On a 1-D model of stress relaxation in an annealed glass
A 1-D model of a slab of glass of a small thickness is considered. The governing equations are those of the classical 1-D linear viscoelasticity. A load due to the temperature gradients is assumed. The aim is to model the process called annealing. It is shown that an additional load due to structural strain is crucial for the success of the model. Algorithms of a numerical solution of the governing equations are proposed. Numerical results are presented and commented.
On a 2D vector Poisson problem with apparently mutually exclusive scalar boundary conditions
On a 2D vector Poisson problem with apparently mutually exclusive scalar boundary conditions
This work is devoted to the study of a two-dimensional vector Poisson equation with the normal component of the unknown and the value of the divergence of the unknown prescribed simultaneously on the entire boundary. These two scalar boundary conditions appear prima facie alternative in a standard variational framework. An original variational formulation of this boundary value problem is proposed here. Furthermore, an uncoupled solution algorithm is introduced together with its finite element...
On a boundary value problem with general linear conditions
On a certain algorithm of eigenvalue localization for normal operators
On a certain class of always convergent sequences and the Rayleigh quotient iterations
On a certain two-sided symmetric condition in magnetic field analysis and computations
A special two-sided condition for the incremental magnetic reluctivity is introduced which guarantees the unique existence of both the weak and the approximate solutions of the nonlinear stationary magnetic field distributed on a region composed of different media, as well as a certain estimate of the error between the two solutions. The condition, being discussed from the physical as well as the mathematical point of view, can be easily verified and is fulfilled for various magnetic reluctivity...
On a certain type of discrete two-point boundary problem arising in discrete optimal control
On a Class of Chebyshev Approximation Problems Which Arise in Connection with a Conjugate Gradient Type Method.
On a class of conservative, highly accurate Galerkin methods for the Schrödinger equation
On a class of forced nonlinear oscillators at resonance
On a class of higher order methods for simultaneous rootfinding of generalized polynomials.
On a class of implicit and explicit schemes of Van-Leer type for scalar conservation laws
On a class of iterative procedures for solving nonlinear equations in Banach spaces
On a Class of Jacobi-Like Procedures for Diagonalising Arbitrary Real Matrices.
On a class of matrices which arise in the numerical solution of Euler equations.
On a class of nonlinear eigenvalue problems
On a class of scalar conservation laws with locally unbounded solutions