Because of their versatility and robustness, numerical continuation or path following
methods have been finding ever wider use in scientific applications. Our aim here is to give …

The use of group theory in simplifying the study of problems involving symmetry is a well‐
established approach in various branches of physics and chemistry, and major applications …

The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …

The main ideas of path following by predictor–corrector and piecewise-linear methods, and
their application in the direction of homotopy methods and nonlinear eigenvalue problems …

Concepts from different fields of mathematics are combined to obtain powerful tools and
algorithms for efficient analysis of structures. Many structures are either symmetric or regular …

Many physical systems lose or gain stability and pattern through bifurcation. Extensive
research of such bifurcation behavior is carried out in science and engineering. The study of …

In general, the design optimization of large-scale structural systems is an extremely
computationally expensive process. However, optimal structural analysis provides efficient …

This paper aims to review and explain the techniques used to analyse symmetric structures
subject to a general loading. After an extensive review of previous work in this field, the …

As conventional approaches for calculating natural frequencies do not make full use of the
inherent symmetry of a structure, the rising degree of freedoms often leads to significant …

A number of authors have previously used group representation theory to block-diagonalise
the stiffness matrix of a symmetric structure. This paper describes how similar techniques …