Applications of Mathematics in Sciences, Engineering, and Economics

This book addresses a broad range of mathematical methods and their usage in a wide variety of disciplines ranging from physics, electrical engineering, chemistry, biology and computer sciences to society and economics. Papers are contributed by an international group of authors and focus on unique problems from, e.g., game theory, algebraic topology for cognitive maps, Fermat-Weber methodology, modeling and simulation in insurance sectors, forecasting thunderstorms or wind gusts, volcanic modeling, machine learning in disease monitoring, simulations in battery research and optical microresonators. This book additionally highlights some very impactful research on inverse problems and computer tomography as well as highly relevant societal topics of protests management and their mathematical formulation. This book promotes versatile mathematical methods in view of advancing applied disciplines with emphasis on mutual benefit. This book serves as a reference guide for researchers for advancing their own research. Moreover, this book serves as reference source for students of mathematics, sciences, engineering, or economics who are interested in interdisciplinary applications of mathematics.

Inhalt

V. Y. Glizer and V. Turetsky, Robust Capture Pursuit Based on Differential Games.- A. Comaneci, Simplicial FermatWeber Problems are Dual to Minimum Cost Flow Problems.- M. Baumgartner, G. Schr¨oder, C. Primo, Forecasting lightning probabilities derived from the Lightning Potential Index using neural networks.- N. Zeinalova, A. Ismail-Zadeh, I. Tsepelev, O. Melnik, and F. Schilling, Numerical Approaches to Modelling of Lava Dome Growth.- F. Schneider and J. Zausch, Enabling Microscale Simulations for Long-Term Aging of Li-Ion Batteries.- M. Diehl and J. Sass, Compression and Simulation of Large Insurance Portfolios with New Business.- Maximilian F. Steffen and M. Trabs, A PAC-Bayes oracle inequality for sparse neural networks.- C. Primo, B. Schulz, S. Lerch and R. Hess, Comparison of Model Output Statistics and Neural Networks to Postprocess Wind Gusts.- M. Beketov, K. Sorokin, M. Subbotin, V. Sotskov, K. Anokhin, and A. Ayzenberg, AutoEncoding cognitive maps of non-trivial topology.- R. Schoof, L. Flur, F. Tuschner and W. Dorfler, Residual Based Error Estimator for Chemical- Mechanically Coupled Battery Active Particles.- L. Bengel and W. Reichel, Analysis of Kerr frequency combs in microresonators with two-photon absorption and free-carriers.- T. van Leeuwen, The Reversible Simulator a data-driven approach for solving forward and inverse problems.- W. Wang, T. Wessler, P. J. Brantingham and N. Rodriguez, The effect of protest management strategies on protesting activity and social tension: a mathematical perspective.- U. Bauer and F. Lenzen, Inferring a Cell Structure on the Space of Cyclooctane Conformations.