Information Linkage Between Applied Mathematics and Industry is a collection of papers dealing with mathematics in engineering context and applications. One paper describes Chernoff faces as a technique of representing multidimensional data and compares the technique with Andrews' sine curves and Anderson's metroglyphys. Another paper investigates practical problems that can arise during implementation of the methods of parameter optimization, using as an example the trajectory of the space shuttle from liftoff to insertion into orbit. One paper analyzes Soviet foreign policy using a graphical representation of k-dimensional data as a statistical tool, written specifically for analysts in foreign policy and international relations. During the period 1964-1975, Soviet foreign policy is active in 25 Sub-Saharan African countries. Another paper discusses ballistics modeling in real time and recommends that investigators be familiar with the computer language to be used, the type of system to be applied, the type of weapon to be modeled, the accuracy required, and other existing ballistic programs. Other papers discuss probabilistic dynamic programming for fault isolation and applied mathematics, as well as engineering in the transport of Antarctic ice resources. The collection can prove valuable to mathematicians, engineers, or designers of industrial processes, computers, aviation, and space technology.

Information Linkage between Applied Mathematics and Industry II presents the proceedings of the Second Annual Workshop on the Information Linkage between Applied Mathematics and Industry, held in Monterey, California on February 22–24, 1979. This book focuses on the linear systems of equations in practical applications. Comprised of two parts encompassing 29 chapters, this volume starts with an analysis of the undetermined systems of linear algebraic equations that are frequently encountered in solving physical problems. This book then discusses the guiding principles of the methods used to stabilize the problem against ill-conditioning and rank deficiency. This text explains the methods that are developed to solve the typical radiation spectrum unfolding problems. Other chapters describe the mathematical technique that is the basis of unfolding code called FERD. Finally, the reader is introduced to integral and differential equations by using a point-by-point approach. Mathematicians, engineers, researchers, and students will find this book extremely useful.

This publication reports the proceedings of a one-day seminar on The AppZicatian af Mathematics in Industry held at the Australian National University on Wednesday, December 3, 1980. It was organized jointly by the Division of Mathematics and Statistics, CSIRO, and the Departments of Pure and Applied Mathematics, The Faculty of Science, Australian National University. A paper based on the talk "Some uses of statistically designed experiments in industrial problems" given by N.B. Carter at the Seminar was not received by the editors. Though R.M. Lewis of John Lysaght (Australia) Limited did not present a talk, the editors invited him to submit a paper. They only learnt about his work after the program for the seminar had been finalized and publicized. His paper appears as the last paper in these proceedings and is entitled "A simple model for coil interior temperature prediction during batch annealing". The seminar was opened by Dr J.R. Philip, FAA, FRS, Director of the Physical Sciences Institute, CSIRO. He kindly agreed to supply an edited version of his comments for inclusion in the proceedings. They follow the Foreword as Opening Remarks.

This volume, published jointly with the Association for Computing Machinery, comprises a collection of research articles celebrating the occasion of Victor Klee's 65th birthday in September 1990. During his long career, Klee has made contributions to a wide variety of areas, such as discrete and computational geometry, convexity, combinatorics, graph theory, functional analysis, mathematical programming and optimization, and theoretical computer science. In addition, Klee made important contributions to mathematics, education, mathematical methods in economics and the decision sciences, applications of discrete mathematics in the biological and social sciences, and the transfer of knowledge from applied mathematics to industry. In honour of Klee's achievements, this volume presents more than 40 papers on topics related to Klee's research. While the majority of the papers are research articles, a number of survey articles are also included. Mirroring the breadth of Klee's mathematical contributions, this book shows how different branches of mathematics interact. It is a fitting tribute to one of the leading figures in discrete mathematics.

Designed for classroom use, this book contains short, self-contained mathematical models of problems in the physical, mathematical, and biological sciences first published in the Classroom Notes section of the SIAM Review from 1975-1985. The problems provide an ideal way to make complex subject matter more accessible to the student through the use of concrete applications. Each section has extensive supplementary references provided by the editor from his years of experience with mathematical modelling.

The current paper establishes an axisymmetric model for an inductive heating process. Therein, the fully coupled MAXWELL equations, assuming a temperature dependent permeability, are combined with the non-linear heat conduction equation to yield a monolithic solution strategy. The latter is based on a consistent linearization together with a higher order finite element discretization using GALERKIN'S method in space. For the temporal discretization, the generalized Newmark-? methods, higher order RUNGE-KUTTA methods, and discontinuous and continuous GALERKIN methods are used. Furthermore, the residual error is introduced to open an alternative way to obtain a numerically efficient estimation of the time integration accuracy. Simulation results of the electric, magnetic and thermal fields are provided, together with parameter studies concerning spatial discretization, frequency dependence and penetration depth of the heating zone. Another topic analyzed is the residual error and its estimation quality regarding polynomial degree and time step size. A further aspect of this work is the investigation of the thermal fluid-structure interaction with respect to functionally graded materials. Different coupling strategies for the acceleration of the fixed-point iteration in each time step is in the foreground. Relaxation methods as well as extrapolation methods make it possible to significantly reduce the number of fixed point iterations. At the same time, an adaptive strategy with higher order RUNGE-KUTTA methods can provide a further advantage in combination with acceleration methods.

Nonlinear Phenomena in Mathematical Sciences contains the proceedings of an International Conference on Nonlinear Phenomena in Mathematical Sciences, held at the University of Texas at Arlington, on June 16-20,1980. The papers explore trends in nonlinear phenomena in mathematical sciences, with emphasis on nonlinear functional analytic methods and their applications; nonlinear wave theory; and applications to medical and life sciences. In the area of nonlinear functional analytic methods and their applications, the following subjects are discussed: optimal control theory; periodic oscillations of nonlinear mechanical systems; Leray-Schauder degree theory; differential inequalities applied to parabolic and elliptic partial differential equations; bifurcation theory, stability theory in analytical mechanics; singular and ordinary boundary value problems, etc. The following topics in nonlinear wave theory are considered: nonlinear wave propagation in a randomly homogeneous media; periodic solutions of a semilinear wave equation; asymptotic behavior of solutions of strongly damped nonlinear wave equations; shock waves and dissipation theoretical methods for a nonlinear Schr?dinger equation; and nonlinear hyperbolic Volterra equations occurring in viscoelasticity. Applications to medical and life sciences include mathematical modeling in physiology, pharmacokinetics, and neuro-mathematics, along with epidemic modeling and parameter estimation techniques. This book will be helpful to students, practitioners, and researchers in the field of mathematics.