This book is a revision of the 2005 3rd Edition with the same title. There is additional
material, mainly in the entirely new Chap. 13 on migration and substantial new parts on …

The accuracies of the computed temperatures of a liquid in a corner region under freezing
conditions are compared for various fixed‐grid finite element techniques using the analytical …

This book is a follow-up to the introductory text written by the same authors. The primary
emphasis on this book is linear and nonlinear partial differential equations with particular …

An Emerging Tool for Pioneering Engineers Co-published by the International Federation of
Heat Treatment and Surface Engineering. Thermal processing is a highly precise science …

It is shown that many commonly used one-step algorithms which are unconditionally stable
for linear transient heat conduction problems become conditionally stable in the nonlinear …

The subject of this paper is the stability, convergence and growth and decay of energy of the
average acceleration method applied to a class of linear and nonlinear elastic problems …

The transient heat conduction problems in layered materials are common encountered in
practical application, but bring great challenge to most numerical algorithms. In this study …

In the numerical solution of heat conduction problems with phase change by finite
differences, enthalpy methods or temperature methods can be used. The former require …

Splitting methods for parabolic partial differential equations based on (1,1) Padé
approximations (Crank–Nicolson replacements) are well known to produce poor numerical …

The accuracy, stability, and cost of the standard finite-element method,(Standard), Matrix
method method of Ohnaka, and alternating-direction, implicit finite-difference method (ADI) …