Over the past fifteen years two new techniques have yielded extremely important
contributions toward the numerical solution of nonlinear systems of equations. This book …

This book was intended as an introduction to the topic of numerical continuation which
would be accessible to a readership of widely varying mathematical backgrounds. Realizing …

Die Anwendung der Finite-Element-Methode auf nichtlineare technische Probleme hat in
den letzten Jahren-auch wegen der stark angestiegenen Rechnerleistung-erheblich …

A geometric and material non‐linear analysis procedure for framed structures is presented,
using a solution algorithm of minimizing the residual displacements. This new non‐linear …

We investigate multi-grid methods for solving linear systems arising from arc-length
continuation techniques applied to nonlinear elliptic eigenvalue problems. We find that the …

In this paper a new finite element formulation is given for the analysis of nonlinear stability
problems. The introduction of extended systems opens the possibility to compute limit and …

A survey of the development, analysis, and application of numerical techniques in solving
nonlinear boundary value problems, this text presents numerical analysis as a working tool …

Engineering and physical systems are often modeled as nonlinear differential equations
with a vector λ of parameters and operated at a stable equilibrium. However, as the …

A minimal set of augmenting equations is given so that general parameter dependent
problems together with these equations will be nonsingular at points of simple rank …

The present contribution focuses on the influence of geometrical nonlinearities on the
structural behavior in the design process. The notion of the stiffest structure loses its clear …