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Global Regularity and Uniqueness of Solutions in a Surface Growth Model Using Rigorous A-Posteriori Methods
The use of rigorous numerical methods to approach problems which can not be solved using standard methods (yet) has increased signifiantly in recent years. In this book, riogorous a-posteriori methods are used to study the time evolution of a surface growth model, given by a fourth order semi-linear parabolic partial differential equation, where standard methods fail to verify global uniqueness and smoothness of solutions. Based on an arbitrary numerical approximation, a-posteriori error-analysis is applied in order to prevent a blow up analytically. This is a method that in a similar way also applies to the three dimensional Navier-Stokes equations. The main idea consists of energy-estimate...
Data Science for Mathematicians
Mathematicians have skills that, if deepened in the right ways, would enable them to use data to answer questions important to them and others, and report those answers in compelling ways. Data science combines parts of mathematics, statistics, computer science. Gaining such power and the ability to teach has reinvigorated the careers of mathematicians. This handbook will assist mathematicians to better understand the opportunities presented by data science. As it applies to the curriculum, research, and career opportunities, data science is a fast-growing field. Contributors from both academics and industry present their views on these opportunities and how to advantage them.
Striving for Environmental Sustainability in a Complex World
In the face of growing anxiety about the environmental sustainability of the world, George Francis, a leading authority in the field of sustainability studies, examines initiatives undertaken in Canada over the past twenty-five years to protect some of our unique environments. With rich and varied insight, spirited prose, and a deep and personal engagement with the material, the author documents the challenges faced by those who manage complex sustainability projects. Focusing mainly on collaborative studies of sixteen landscape regions designated as “Biosphere Reserves” by UNESCO and fifteen regions designated as “Model Forests” by the Canadian Forest Service, the book also summarizes a number of smaller sustainability initiatives in regions across the country. The author concludes on a hopeful note, looking forward to a future of solutions – those considered, proposed, promoted, and in some cases already implemented by groups striving to create sustainable societies in an increasingly complex world.
Paleozoology and Paleoenvironments
Outlines the ecological fundamentals, assumptions, and techniques for reconstructing past environments using fossil animals from archaeological and paleontological sites.
The Changing Nature of the Maine Woods
The ecology of the ever-changing Maine forest
Proceedings of the IUTAM Symposium on Nonlinear Dynamics for Design of Mechanical Systems Across Different Length/Time Scales
This book presents insights from the IUTAM Symposium on Nonlinear Dynamics for Design of Mechanical Systems Across Different Length/Time Scales. It covers a diverse array of topics, including applications of parametric amplification and self-excitation, as well as the design and analysis of devices and systems that harness geometric and material nonlinearities. The book features chapters on nonlinear energy transfer, eigenfrequency detection through subharmonic and superharmonic resonances, and the innovative use of nonlinear mode localization. The authors explore dynamic stabilization under high-frequency excitation, the utilization of multimode interactions and nonlinear normal modes, and the application of nonlinear resonance and bifurcation in creating ultrasensitive sensors and high-performance actuators. This book provides a comprehensive record of the symposium's discussions, representing a collective effort to expand our understanding of nonlinear phenomena and its potential to reshape the landscape of mechanical system design.
The Trump Tower Survivor
The Trump Tower Survivor By: Denis Lacasse In the aftermath of an eventful American presidential campaign, the Montreal Police Service (SPVM) had to face the consequences of this election. A spiral of events will lead to the investigation of the Assistant Director Riverin in the dark backrooms of American democracy. Throughout the following pages, readers will feel the shadow figure of the famous commissioner Maigret observing the troubles of his Quebec colleague with some undesirable visitors.
ECAI 2023
Artificial intelligence, or AI, now affects the day-to-day life of almost everyone on the planet, and continues to be a perennial hot topic in the news. This book presents the proceedings of ECAI 2023, the 26th European Conference on Artificial Intelligence, and of PAIS 2023, the 12th Conference on Prestigious Applications of Intelligent Systems, held from 30 September to 4 October 2023 and on 3 October 2023 respectively in Kraków, Poland. Since 1974, ECAI has been the premier venue for presenting AI research in Europe, and this annual conference has become the place for researchers and practitioners of AI to discuss the latest trends and challenges in all subfields of AI, and to demonstrat...
Rigorous Numerics in Dynamics
This volume is based on lectures delivered at the 2016 AMS Short Course “Rigorous Numerics in Dynamics”, held January 4–5, 2016, in Seattle, Washington. Nonlinear dynamics shapes the world around us, from the harmonious movements of celestial bodies, via the swirling motions in fluid flows, to the complicated biochemistry in the living cell. Mathematically these phenomena are modeled by nonlinear dynamical systems, in the form of ODEs, PDEs and delay equations. The presence of nonlinearities complicates the analysis, and the difficulties are even greater for PDEs and delay equations, which are naturally defined on infinite dimensional function spaces. With the availability of powerful ...
