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	Tři způsoby interpolace na konečných prvcích Šolín, Pavel ; Segeth, Karel Interpolation on finite elements usually occurs in a Hilbert space setting, which means that interpolation techniques involving orthogonal projection are an alternative for the traditional Lagrange nodal interpolation schemes. In addition to the Lagrange interpolation, this paper discusses the global orthogonal projection and the projection-based interpolation. These techniques are compared from the point of view of quality, efficiency, sensitivity to input parameters and other aspects. Detailed record
	Numerical Analysis of Nonlinear Boundary Value Problems Černý, R. ; Přikryl, Petr ; Segeth, Karel Numerical solution of moving boundary problems describing phase changes is discussed. Detailed record
	The conjugate gradient method Křížek, Michal ; Segeth, Karel The paper introduces the main idea of the conjugate gradient method for solving large systems of linear algebraic equations. Detailed record
	Some algorithms aspects of higher-order finite element schemes in multidimensions Segeth, Karel ; Šolín, P. ; Kočiřík, M. The higher-order finite element discretization has some nontrivial aspects in 1D and, esperially, 2D and 3D. These phenomena are described in the paper. Detailed record
	Adaptive higher-order finite element solution of PDEďs Segeth, Karel ; Šolín, P. The contribution is concerned with fully automatic h-, p-, and hp- adaptive strategies based on optimization of the finite element gird. Detailed record
	Rothe method and method of lines. A brief discussion. Mathematical and Computer Modelling in Science and Engineering Segeth, Karel The contribution compares the solution of linear parabolic problems by the method of lines and Rothe method. Detailed record
	On some fast algorithms. Numerical Analysis Segeth, Karel Some well-known fast algorithms are presunted with their connections to numerical analysis in general. Detailed record
	Mathematical and numerical modeling of a semiconductor device Segeth, Karel Mathematical and numerical modeling of the function of a semiconductor device is a problem of great practical as well as strategical importance. Recently, this modeling has been devoted much theoretical as well as practical effort in the world. Detailed record
	Application of the method of lines to compressible flow (computational aspects) Segeth, Karel ; Šolín, P. The paper sums up the results of numerical experiments of the authors with the application of the method of lines to problems of compressible flow. Detailed record
	A Damped Newton Iterative Algorithm Segeth, Karel The contribution is concerned with a Newton-like or damped Newton method for solving nonlinear algebraic systems that arise from the discretization of nonlinear partial differential equations. Under appropriate conditions, the algorithm presented converges globally and quadratically if the damping parameter involved is chosen in the way described. Detailed record

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