Identities for piecewise polynomial spaces determinated by connection matrices.
Identities for piecewise polynomial spaces determined by connection matrices. (Summary).
Image Interpolation
We discuss possible algorithms for interpolating data given in a set of curves and/or points in the plane. We propose a set of basic assumptions to be satisfied by the interpolation algorithms which lead to a set of models in terms of possibly degenerate elliptic partial differential equations. The Absolute Minimal Lipschitz Extension model (AMLE) is singled out and studied in more detail. We show experiments suggesting a possible application, the restoration of images with poor dynamic range. We...
Implicit Runge- Kutta Methods for Second Kind Volterra Integral Equations.
Improved Estimates of Statistical Regularization Parameters in Fourier Differentiation and Smoothing.
Improvements of Euler-trapezoidal type inequalities with higher-order convexity and applications.
Increase of accuracy in solving differential equations with singularities of the type by a right choice of an additional term
Indefinite integration of oscillatory functions
A simple and fast algorithm is presented for evaluating the indefinite integral of an oscillatory function , -1 ≤ x < y ≤ 1, ω ≠ 0, where the Chebyshev series expansion of the function f is known. The final solution, expressed as a finite Chebyshev series, is obtained by solving a second-order linear difference equation. Because of the nature of the equation special algorithms have to be used to find a satisfactory approximation to the integral.
Index vector-function and minimal cycles.
Inequalities of Ostrowski type and applications in numerical integration.
Inequalities of Ostrowski-Grüss type and applications
Some new inequalities of Ostrowski-Grüss type are derived. They are applied to the error analysis for some Gaussian and Gaussian-like quadrature formulas.
Inf-convolution spline pour l'approximation de données discontinues
Integral inequalities and computer algebra systems.
Integral inequalities of the Ostrowski type.
Integration in higher-order finite element method in 3D
Integration of Iterated Integrals by Multistep Methods.
Integration over a Simplex, Truncated Cubes, and Eulerian Numbers.
Integro-differential equations with time-varying delay
Integro-differential equations with time-varying delay can provide us with realistic models of many real world phenomena. Delayed Lotka-Volterra predator-prey systems arise in ecology. We investigate the numerical solution of a system of two integro-differential equations with time-varying delay and the given initial function. We will present an approach based on -step methods using quadrature formulas.
Interactive 3D Visualization of Bézier Curves using Java Open Graphics Library (JOGL)
We present a new program tool for interactive 3D visualization of some fundamental algorithms for representation and manipulation of Bézier curves. The program tool has an option for demonstration of one of their most important applications - in graphic design for creating letters by means of cubic Bézier curves. We use Java applet and JOGL as our main visualization techniques. This choice ensures the platform independency of the created applet and contributes to the realistic 3D visualization....
Interpolace — vývoj formulace problému a jeho řešení