The European Consortium for Mathematics in Industry (ECMI) was founded, largely due to the driving energy of Michiel Hazewinkel on the 14th April, 1986 in Neustadt-Mussbach in West Germany. The founder signatories were A. Bensoussan (INRIA, Paris), A. Fasano (University of Florence), M. Hazewinkel (CWI, Amsterdam), M. Heilio (Lappeenranta University, Finland), F. Hodnett (University of Limerick, Ireland), H. Martens (Norwegian Institute of Technology, Trondheim), S. McKee (University of Strathclyde, Scotland), H. NeURzert (University of Kaiserslautern, Germany), D. Sundstrom (The Swedish Institute of Applied Mathematics, Stockholm), A. Tayler (University of Oxford, England) and Hj. Wacker (University of Linz, Austria). The European Consortium for Mathematics in Industry is dedicated to: (a) promote the use of mathematical models in Industry (b) educate industrial mathematicians to meet the growing demand for such experts (c) operate on a European scale. ECMI is still a young organisation but its membership is growing fast. Although it has still to persuade more industrialists to join, ECMI certainly operates on a European scale and a flourishing postgraduate programme with student exchange has been underway for some time. It is perhaps fitting that the first open meeting of ECMI was held at the University of Strathclyde in Glasgow. Glasgow is and was the industrial capital of Scotland and was, and arguably still is, Britain's second city after London; when this volume appears it will have rightly donned the mantle of the cultural capital of Europe.

Invited Speakers.- On non-linear magnetostatics: dual-complementary models and "mixed" numerical methods.- Modeling for field-effect transistors.- Supercomputers - 1988.- Simulated annealing: theory of the past, practice of the future?.- Domain decomposition for a generalized Stokes problem.- Mathematical simulation and optimization of chemical plants.- Mini-Symposium 1.- Numerically intensive computing.- Fomulation of a sea model with continuous density stratification in the vertical.- Electroplating simulation.- Elastic modelling on the IBM 3090 vector multiprocessor.- Solving a model interface problem for the Laplace operator by boundary collocation and applications.- Mini-Symposium 2.- On flow-induced vibrations of overhead transmission lines.- Non-linear free vibrations of coupled spans of suspended cables.- Vibrations of overhead transmission lines: computations and experiments.- On the modeling of a continuous oscillator by oscillators with a finite number of degrees of freedom.- Mini-Symposium 3.- Some novel partial differential equations problems arising in industry.- Modeling coronas and space charge phenomena.- Temperature surges in thermistors.- Mixed hyperbolic-elliptic systems in industrial problems.- Contributed Papers.- Linear and non-linear approximation of power density spectra with linear dynamical filter systems.- Modelling software reliability from run-time data.- Software simulation of model reference adaptive control systems.- Effective length of an ultrafiltration device.- Truncated sequential tests for material control problems.- On the approximation of free vibration modes of a general thin shell application to turbine blades.- Integration algorithms for the dynamic simulation of production processes.- Multicomponent flow computation withapplication to steam condensers.- Natural convection within a droplet as a result of a chemical reaction on its surface.- Unwanted compartment fires: zone modelling the onset of hazardous conditions.- A tree search approach based on an assignment relaxation for the solution of set covering problems.- Making a workpiece with spiral turns by means of forming cutters.- State variables feedback control of stepping motors with flexible shaft.- Application of mathematics to heat processing in the meat industry.- Numerical modelling of conjugate heat transfer in an advanced gas-cooled reactor fuelstandpipe.- Restoration of NMR images.- An on-line augmented price correction technique for hierarchical control of interconnected industrial processes.- A least-squares fitting technique for use with large non-linear plant models.- Spline approximation of offset curves and offset surfaces.- Diffusion flame ignition by a recirculating flow.- On the real-time simulation and control of the continuous casting process.- Simulation of VLSI circuits: relaxation techniques.- Development of models for flashing two-phase jet releases from pressurised containment.- Robust recursive estimation: the Lp approach.- Numerical approximation of free boundary problems in polymer crystallization.- Ignition/extinction phenomena: an investigation of parametric sensitivity for a strongly non-linear reaction-diffusion system.- On the methods for optimal shape design.- Steady-state optimization of large gas networks.- Modelling and control of acid-base blending systems.- The prediction of cyclic plastic strain growth behaviour for severe thermal loading problems in structural engineering using upper bound methods and linear programming.- Three problems in the integration of electric circuits by ROW-type methods.- Controller design for industrial multipass processes.- Computer-integrated production-planning and inventory-control at an automobile-engine producer.- Numerical solution of a liquid crystal problem by optimization.- LACTEO: A dairy management and forecasting system.- Identification of amplitude and phase discontinuities in the intensity signal of a Nd-YAG solid state laser.- Gel electrophoresis and graph matching.- Mathematical models of silicon chip fabrication.- On a partial integro-differential equation related to the dynaliser concept for industrial rubber materials.