Institute of Mathematics, Czech Academy of Sciences
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Nonsensitiveness Regions for Threshold Ellipsoids
Institute of Mathematics, Czech Academy of Sciences - - 2002
An extension of Rothe’s method to non-cylindrical domains
Institute of Mathematics, Czech Academy of Sciences - Tập 52 - Trang 365-389 - 2007
In this paper Rothe’s classical method is extended so that it can be used to solve some linear parabolic boundary value problems in non-cylindrical domains. The corresponding existence and uniqueness theorems are proved and some further results and generalizations are discussed and applied.
Dynamic analysis of an impulsive differential equation with time-varying delays
Institute of Mathematics, Czech Academy of Sciences - Tập 59 Số 1 - Trang 85-98 - 2014
Extending Babuška-Aziz’s theorem to higher-order Lagrange interpolation
Institute of Mathematics, Czech Academy of Sciences - Tập 61 - Trang 121-133 - 2016
We consider the error analysis of Lagrange interpolation on triangles and tetrahedrons. For Lagrange interpolation of order one, Babuška and Aziz showed that squeezing a right isosceles triangle perpendicularly does not deteriorate the optimal approximation order. We extend their technique and result to higher-order Lagrange interpolation on both triangles and tetrahedrons. To this end, we make us...... hiện toàn bộ
Approximation of Periodic Solutions of a System of Periodic Linear Nonhomogeneous Differential Equations
Institute of Mathematics, Czech Academy of Sciences - Tập 49 - Trang 269-284 - 2004
The present paper does not introduce a new approximation but it modifies a certain known method. This method for obtaining a periodic approximation of a periodic solution of a linear nonhomogeneous differential equation with periodic coefficients and periodic right-hand side is used in technical practice. However, the conditions ensuring the existence of a periodic solution may be violated and the...... hiện toàn bộ
A Sensitivity Result for Quadratic Second-Order Cone Programming and its Application
Institute of Mathematics, Czech Academy of Sciences - - 2020
In this paper, we present a sensitivity result for quadratic second-order cone programming under the weak form of second-order sufficient condition. Based on this result, we analyze the local convergence of an SQP-type method for nonlinear second-order cone programming. The subproblems of this method at each iteration are quadratic second-order cone programming problems. Compared with the local co...... hiện toàn bộ
Some results on a doubly truncated generalized discrimination measure
Institute of Mathematics, Czech Academy of Sciences - Tập 61 Số 5 - Trang 585-605 - 2016
Two-sided bounds of eigenvalues of second-and fourth-order elliptic operators
Institute of Mathematics, Czech Academy of Sciences - Tập 59 - Trang 371-390 - 2014
This article presents an idea in the finite element methods (FEMs) for obtaining two-sided bounds of exact eigenvalues. This approach is based on the combination of nonconforming methods giving lower bounds of the eigenvalues and a postprocessing technique using conforming finite elements. Our results hold for the second and fourth-order problems defined on two-dimensional domains. First, we list ...... hiện toàn bộ
Hysteresis operators in phase-field models of Penrose-fife type
Institute of Mathematics, Czech Academy of Sciences - Tập 43 - Trang 207-222 - 1998
Phase-field systems as mathematical models for phase transitions have drawn a considerable attention in recent years. However, while they are suitable for capturing many of the experimentally observed phenomena, they are only of restricted value in modelling hysteresis effects occurring during phase transition processes. To overcome this shortcoming of existing phase-field theories, the authors ha...... hiện toàn bộ
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