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Indefinite integration of oscillatory functions

Paweł Keller (1998)

Applicationes Mathematicae

A simple and fast algorithm is presented for evaluating the indefinite integral of an oscillatory function x y i f ( t ) e i ω t d t , -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.

Integro-differential equations with time-varying delay

Chocholatý, Pavol (2013)

Programs and Algorithms of Numerical Mathematics

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 q -step methods using quadrature formulas.

Interactive 3D Visualization of Bézier Curves using Java Open Graphics Library (JOGL)

Vlachkova, Krassimira, Boikova, Marina (2011)

Serdica Journal of Computing

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....

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