We describe a simple method for tracking solutions of nonlinear equations f(u,α)=0 through turning points (also known as limit or saddle-node bifurcation points). Our ...

This problem was presented in the excellent book by W. F. Ramirez, Computational Methods for Process Simulation, Second Edition, 1997, Butterworth Heinemann, Oxford. Here, we ...

Using homotopy continuation methods such as the fixed point and the Newton homotopy methods, one can find all real solutions of a polynomial equation. Two examples are ...

Many vibration problems in engineering are nonlinear in nature. The usual linear analysis may be inadequate for many applications. An essential difference in the study of ...

This text is designed for advanced undergraduate and graduate students in the physical and engineering sciences as well as for professionals. It offers a comprehensive ...

This paper is concerned with the Shohat-Favard, Chebyshev and Modified Chebyshev methods for d-orthogonal polynomial sequences (d Î N). Shohat-Favard's method is presented ...

Because of the simplicity and the speed of execution, methods used in static stability analyses have yet remained relevant. The key-block method, which is the most famous of ...

The packages Numerico.m and Numerial.m provide routines for direct methods of solving linear systems. These routines include vector norms, LU decomposition, and Cholesky ...

The notebook plots figure 4.11, page 189 of the book by Kenneth J. Beers, Numerical Methods for Chemical Engineering, Applications in Matlab, Cambridge University Press, ...

This program is initially intended to be able to experiment applying finite element method, to diverse types of elements and differential equations, having the opportunity of ...