Half-explicit Runge-Kutta methods for differential-algebraic problems of index 2 are investigated. It is shown how the arising order conditions can be solved and a particular ...

During our second semester calculus class, we learned about many types of integration. After learning about integrating by using antiderivatives, we explored numerical ...

To help students to understand how finite element methods (FEM) deal with the plasticity, we have developed a FEM program by using Mathematica, a symbolic algebra system. The ...

Once a method has been programmed in Mathematica, it is straightforward to provide instructive visualizations. Three examples are provided here: 1. A solution of the ...

This notebook provides physical chemistry students with an introduction to the use of numerical integration methods in chemical kinetics. Results from a simple numerical ...

A method has been developed for binding numerically the minimal (soap-film) surface bounded by a skew quadrilateral. A general quartic is fitted to each patch in turn and the ...

Digital Image Processing allows you to manipulate color images as conveniently and easily as monochrome images. Color images may be represented in three different color ...

This package provides only one function: FT. The function calculates the value of the inverse of a Laplace transform at a specified time point. The Laplace transform should ...

There are few optimal fourth-order methods for solving nonlinear equations when the multiplicity m of the required root is known in advance. Therefore, the principle focus of ...

This paper proposes a computational method for solving the dynamic equations of motion of manipulator-robots, using the integration methods. The proposed algorithm is ...