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Design Methods for Reducing Failure Probabilities with Examples from Electrical Engineering
This book deals with efficient estimation and optimization methods to improve the design of electrotechnical devices under uncertainty. Uncertainties caused by manufacturing imperfections, natural material variations, or unpredictable environmental influences, may lead, in turn, to deviations in operation. This book describes two novel methods for yield (or failure probability) estimation. Both are hybrid methods that combine the accuracy of Monte Carlo with the efficiency of surrogate models. The SC-Hybrid approach uses stochastic collocation and adjoint error indicators. The non-intrusive GPR-Hybrid approach consists of a Gaussian process regression that allows surrogate model updates on t...
Progress in Industrial Mathematics at ECMI 2021
This book gathers peer-reviewed contributions submitted to the 21st European Conference on Mathematics for Industry, ECMI 2021, which was virtually held online, hosted by the University of Wuppertal, Germany, from April 13th to April 15th, 2021. The works explore mathematics in a wide variety of applications, ranging from problems in electronics, energy and the environment, to mechanics and mechatronics. Topics covered include: Applied Physics, Biology and Medicine, Cybersecurity, Data Science, Economics, Finance and Insurance, Energy, Production Systems, Social Challenges, and Vehicles and Transportation. The goal of the European Consortium for Mathematics in Industry (ECMI) conference seri...
Wege zur effizienten Finanzfunktion in Kreditinstituten
Geleitwort Die Finanzmarktkrise ist derzeit in aller Munde und wird zu tiefgreifenden Veränderungen in der Finanzbranche führen. Vor dem Hintergrund der Finanzmarktkrise und einer sich schnell ändernden Umwelt müssen die stetig steigenden Anforderungen an die Transparenz der - richterstattung erfüllt sowie unternehmensinterne und -externe Veränderungen rechtzeitig erkannt sowie entsprechende Entscheidungen getroffen werden. Parallel dazu nimmt die Regulierungsdichte für Kreditinstitute (Compliance) stetig zu. Gleichzeitig steht durch den in den letzten Jahren unveränderten Wettbewerbsdruck in der Finanzbranche die Steigerung der Profitabilität und die Verbesserung der Eigenkapitalre...
Mensch und Computer 2015 – Workshopband
The Workshop Volume from the Humans and Computers Conference documents the advanced tutorials that were presented to deepen the understanding gained from the conference lectures. It presents case studies along with accompanying exercises.
Reliability and Six Sigma
This book is a carefully developed integration of mathematical models that relate Six Sigma and reliability measures for the first time. Several case studies are used throughout the book to illustrate the application of the models discussed. The strength of Six Sigma is the way in which it structures the problem and the solution methodology to solve the problem. This is probably the only concept to attract the attention of almost all companies across the world irrespective of their business mission.
Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127
The arithmetic Riemann-Roch Theorem has been shown recently by Bismut-Gillet-Soul. The proof mixes algebra, arithmetic, and analysis. The purpose of this book is to give a concise introduction to the necessary techniques, and to present a simplified and extended version of the proof. It should enable mathematicians with a background in arithmetic algebraic geometry to understand some basic techniques in the rapidly evolving field of Arakelov-theory.
