The author attempts to portray the ideas and general principles of the theory of materials
within the framework of phenomenological continuum mechanics. It is a well-written rigorous …

The paper is intended to give a survey on the state-of-the-art of extrapolation methods for
initial value problems in ordinary differential equation systems. All basic discretizations …

Untitled Page 1 Page 2 Springer Series in 8 Computational Mathematics Editorial Board R.
Bank RL Graham J. Stoer R. Varga H. Yserentant Page 3 E. Hairer SP Nørsett G. Wanner …

The paper analyzes one-step methods for differential-algebraic equations (DAE) in terms of
convergence order. In view of extrapolation methods, certain perturbed asymptotic …

Radau IIA methods are successful algorithms for the numerical solution of stiff differential
equations. This article describes RADAU, a new implementation of these methods with a …

In this paper we study the numerical solution of the differential/algebraic systems F(t,y,y')=0.
Many of these systems can be solved conveniently and economically using a range of ODE …

The paper introduces a new semi-implicit extrapolation method especially designed for the
numerical solution of stiff systems of ordinary differential equations. The existence of a …

Mathematics is playing an ever more important role in the physical and biological sciences,
provoking a blurring of boundaries between scientific disciplines and a resurgence of …

" Models are often the only way of interpreting measurements to in vestigate long-range
transport, and this is the reason for the emphasis on them in many research programs". BEA …

Numerical methods for general Volterra integral equations of the second kind need O(n^2)
kernel evaluations and O(n^2) additions and multiplications. Here it is shown how the effort …