Mathematical modelling

This book is intended as a text for a one-semester course on Mathematical and Computational Neuroscience for upper-level undergraduate and beginning graduate students of mathematics, the natural sciences, engineering, or computer science.

This monograph presents urban simulation methods that help in better understanding urban dynamics.

The research and review papers presented in this volume provide an overview of the main issues, findings, and open questions in cutting-edge research on the fields of modeling, optimization and dynamics and their applications to biology, economics, energy, finance, industry, physics and psychology.

This book shows how neural networks are applied to computational mechanics.

This book provides an essential overview of computational neuroscience.

Wavelet-based procedures are key in many areas of statistics, applied mathematics, engineering, and science.

This book presents a comprehensive topical overview on soil dynamics and foundation modeling in offshore and earthquake engineering.

This edited monograph offers a summary of future mathematical methods supporting the recent energy sector transformation.

Fractal structures or geometries currently play a key role in all models for natural and industrial processes that exhibit the formation of rough surfaces and interfaces.

This text demonstrates the process of comprehensive applied mathematical modeling through the introduction of various case studies.

This book presents time synchronization and its essential role as a conduit of optimized networks and as one of the key imperatives of ubiquitous connectivity.

This book focuses on novel reduced cell and stack models for proton exchange membrane fuel cells (PEMFCs) and planar solid oxide fuel cells (P-SOFCs) that serve to reduce the computational cost by two orders of magnitude or more with desired numerical accuracy, while capturing both the average properties and the variability of the dependent variables in the 3D counterparts.

This book is devoted to studies of unsteady heat and mass exchange processes taking into account thermochemical destruction of thermal protective materials, research of transpiration cooling systems, thermal protection of composite materials exposed to low-energy disturbances, as well as the numerical solution of heat and mass transfer of the exchange.

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This book develops a morphodynamical approach to linguistic and sign structures as an integrated response to multilevel and interrelated problems in semiolinguistic research.

This volume provides an overview of applications of conceptual spaces theory, beginning with an introduction to the modeling tool that unifies the chapters.

A variety of modern research in analysis and discrete mathematics is provided in this book along with applications in cryptographic methods and information security, in order to explore new techniques, methods, and problems for further investigation.

This book addresses recent technological progress that has led to an increased complexity in many natural and artificial systems.

The book surveys the state-of-the-art methods that are currently available to model and simulate the presence of rigid particles in a fluid flow.

This book presents the proceedings of the 19th International Conference of the Indian Society of Ergonomics (HWWE), held in Guwahati, India, on December 1-3, 2021.

This contributed volume collects talks originally given at the 18th International Symposium on Dynamic Games and Applications, held in Grenoble, France from July 9-12, 2018.

There have been substantial developments in meshfree methods, particle methods, and generalized finite element methods since the mid 1990s.

This monograph concisely but thoroughly introduces the reader to the field of mathematical immunology.

Focusing on applications to science and engineering, this book presents the results of the ITN-FP7 SADCO network's innovative research in optimization and control in the following interconnected topics: optimality conditions in optimal control, dynamic programming approaches to optimal feedback synthesis and reachability analysis, and computational developments in model predictive control.

This monograph presents a graduate-level treatment of partial differential equations (PDEs) for engineers.

This book gives a complete overview of the roll stamping process of metal forming.

This volume collects ten surveys on the modeling, simulation, and applications of active particles using methods ranging from mathematical kinetic theory to nonequilibrium statistical mechanics.

This book reconsiders key issues, such as description and explanation, which affect data analytics.

These proceedings contain research papers presented at the 5th International Conference on Dynamics in Logistics, held in Bremen, Germany, February 2016.

This volume explores the connections between mathematical modeling, computational methods, and high performance computing, and how recent developments in these areas can help to solve complex problems in the natural sciences and engineering.

Modern life is increasingly relying on digital technology, which in turn runs on mathematics.

This volume presents infectious diseases modeled mathematically, taking seasonality and changes in population behavior into account, using a switched and hybrid systems framework.

Inspired by the Research Collaboration Workshop for Women in Mathematical Biology, this volume contains research and review articles that cover topics ranging from models of animal movement to the flow of blood cells in the embryonic heart.

This edited volume provides an overview the state-of-the-art in the field of cognitive neuroscience of memory consolidation.

The contributions gathered here provide an overview of current research projects and selected software products of the Fraunhofer Institute for Algorithms and Scientific Computing SCAI.

This book provides a comprehensive introduction to the foundations and frontiers of graph neural networks.

This book introduces readers to techniques of geometric optimal control as well as the exposure and applicability of adapted numerical schemes.

This book systematically studies how game theory can be used to improve security in chemical industrial areas, capturing the intelligent interactions between security managers and potential adversaries.

This book surveys new algorithmic approaches and applications to natural and man-made disasters such as oil spills, hurricanes, earthquakes and wildfires.

Contributions in this volume focus on computationally efficient algorithms and rigorous mathematical theories for analyzing large-scale networks.

Comprehensive and thorough, this monograph emphasizes the main role differential geometry and convex analysis play in the understanding of physical, chemical, and mechanical notions.

This book contains a collection of original research articles and review articles that describe novel mathematical modeling techniques and the application of those techniques to models of cell motility in a variety of contexts.

This book introduces readers to the fundamentals of artificial neural networks, with a special emphasis on evolutionary algorithms.

This book looks at classic puzzles from the perspective of their structures and what they tell us about the brain.

This book contains the main results of the talks given at the workshop "e;Recent Advances in PDEs: Analysis, Numerics and Control"e;, which took place in Sevilla (Spain) on January 25-27, 2017.

This interdisciplinary volume brings together expert researchers coming from primatology, anthropology, ethology, philosophy of cognitive sciences, neurophysiology, mathematics and psychology to discuss both the foundations of non-human primate and human social cognition as well as the means there currently exist to study the various facets of social cognition.

This SpringerBrief focuses on modeling and power evaluation of high-speed craft.

This book presents a theoretical and practical overview of computational modeling in bioengineering, focusing on a range of applications including electrical stimulation of neural and cardiac tissue, implantable drug delivery, cancer therapy, biomechanics, cardiovascular dynamics, as well as fluid-structure interaction for modelling of organs, tissues, cells and devices.

This book describes a systematic approach to risk assessment for complex socio-technical systems like industrial processes, especially innovative ones.