Fractals in Engineering: Theoretical Aspects and Numerical Approximations

Fractals in Engineering: Theoretical Aspects and Numerical Approximations PDF Author: Maria Rosaria Lancia
Publisher: Springer Nature
ISBN: 303061803X
Category : Mathematics
Languages : en
Pages : 173

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Book Description
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. Computer simulations, analytical theories and experiments have led to significant advances in modeling these phenomena across wild media. Many problems coming from engineering, physics or biology are characterized by both the presence of different temporal and spatial scales and the presence of contacts among different components through (irregular) interfaces that often connect media with different characteristics. This work is devoted to collecting new results on fractal applications in engineering from both theoretical and numerical perspectives. The book is addressed to researchers in the field.

Fractals in Engineering: Theoretical Aspects and Numerical Approximations

Fractals in Engineering: Theoretical Aspects and Numerical Approximations PDF Author: Maria Rosaria Lancia
Publisher: Springer Nature
ISBN: 303061803X
Category : Mathematics
Languages : en
Pages : 173

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Book Description
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. Computer simulations, analytical theories and experiments have led to significant advances in modeling these phenomena across wild media. Many problems coming from engineering, physics or biology are characterized by both the presence of different temporal and spatial scales and the presence of contacts among different components through (irregular) interfaces that often connect media with different characteristics. This work is devoted to collecting new results on fractal applications in engineering from both theoretical and numerical perspectives. The book is addressed to researchers in the field.

Recent Advances in Industrial and Applied Mathematics

Recent Advances in Industrial and Applied Mathematics PDF Author: Tomás Chacón Rebollo
Publisher: Springer Nature
ISBN: 3030862364
Category :
Languages : en
Pages : 276

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Book Description
This open access book contains review papers authored by thirteen plenary invited speakers to the 9th International Congress on Industrial and Applied Mathematics (Valencia, July 15-19, 2019). Written by top-level scientists recognized worldwide, the scientific contributions cover a wide range of cutting-edge topics of industrial and applied mathematics: mathematical modeling, industrial and environmental mathematics, mathematical biology and medicine, reduced-order modeling and cryptography. The book also includes an introductory chapter summarizing the main features of the congress. This is the first volume of a thematic series dedicated to research results presented at ICIAM 2019-Valencia Congress.

Mathematical Methods in Engineering

Mathematical Methods in Engineering PDF Author: Kenan Taş
Publisher: Springer
ISBN: 3319910655
Category : Technology & Engineering
Languages : en
Pages : 278

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Book Description
This book collects chapters dealing with some of the theoretical aspects needed to properly discuss the dynamics of complex engineering systems. The book illustrates advanced theoretical development and new techniques designed to better solve problems within the nonlinear dynamical systems. Topics covered in this volume include advances on fixed point results on partial metric spaces, localization of the spectral expansions associated with the partial differential operators, irregularity in graphs and inverse problems, Hyers-Ulam and Hyers-Ulam-Rassias stability for integro-differential equations, fixed point results for mixed multivalued mappings of Feng-Liu type on Mb-metric spaces, and the limit q-Bernstein operators, analytical investigation on the fractional diffusion absorption equation.

Fractals in Engineering

Fractals in Engineering PDF Author: Jacques Lévy-Véhel
Publisher: Springer Science & Business Media
ISBN: 1846280486
Category : Technology & Engineering
Languages : en
Pages : 288

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Book Description
The application of fractals in the engineering sciences is evolving swiftly and the editors have turned to Springer for the third time to bring you the latest research emerging from the rapid growth in techniques available for the employment of the ideas of fractals and complexity to a variety of disciplines in and associated with the engineering field. The strong potential of this research can be seen in real industrial situations with recent progress being made in areas such as chemical engineering, internet traffic, physics and finance. Image processing continues to be a major field of application for fractal analysis and is well-represented here. It is important to note that the applications models are presented with a firm basis in theoretical argument, the qualitative observation of fractal phenomena no longer being sufficient. Consisting of papers written by a world-wide pool of experts, the multidisciplinary approach of this third volume will be of particular interest to industrial researchers and practitioners as well as to academics from many backgrounds. Fractals in Engineering: New Trends in Theory and Applications continues the publication of engineering-related research in fractal techniques begun in Fractals in Engineering and Fractals: Theory and Applications in Engineering (Springer London 1997 and 1999).

Nonlinear Systems

Nonlinear Systems PDF Author:
Publisher: BoD – Books on Demand
ISBN: 1789854717
Category : Mathematics
Languages : en
Pages : 288

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Book Description
The editors of this book have incorporated contributions from a diverse group of leading researchers in the field of nonlinear systems. To enrich the scope of the content, this book contains a valuable selection of works on fractional differential equations.The book aims to provide an overview of the current knowledge on nonlinear systems and some aspects of fractional calculus. The main subject areas are divided into two theoretical and applied sections. Nonlinear systems are useful for researchers in mathematics, applied mathematics, and physics, as well as graduate students who are studying these systems with reference to their theory and application. This book is also an ideal complement to the specific literature on engineering, biology, health science, and other applied science areas. The opportunity given by IntechOpen to offer this book under the open access system contributes to disseminating the field of nonlinear systems to a wide range of researchers.

Multi-Chaos, Fractal and Multi-Fractional Artificial Intelligence of Different Complex Systems

Multi-Chaos, Fractal and Multi-Fractional Artificial Intelligence of Different Complex Systems PDF Author: Yeliz Karaca
Publisher: Academic Press
ISBN: 0323886167
Category : Science
Languages : en
Pages : 352

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Book Description
Multi-Chaos, Fractal and Multi-Fractional Artificial Intelligence of Different Complex Systems addresses different uncertain processes inherent in the complex systems, attempting to provide global and robust optimized solutions distinctively through multifarious methods, technical analyses, modeling, optimization processes, numerical simulations, case studies as well as applications including theoretical aspects of complexity. Foregrounding Multi-chaos, Fractal and Multi-fractional in the era of Artificial Intelligence (AI), the edited book deals with multi- chaos, fractal, multifractional, fractional calculus, fractional operators, quantum, wavelet, entropy-based applications, artificial intelligence, mathematics-informed and data driven processes aside from the means of modelling, and simulations for the solution of multifaceted problems characterized by nonlinearity, non-regularity and self-similarity, frequently encountered in different complex systems. The fundamental interacting components underlying complexity, complexity thinking, processes and theory along with computational processes and technologies, with machine learning as the core component of AI demonstrate the enabling of complex data to augment some critical human skills. Appealing to an interdisciplinary network of scientists and researchers to disseminate the theory and application in medicine, neurology, mathematics, physics, biology, chemistry, information theory, engineering, computer science, social sciences and other far-reaching domains, the overarching aim is to empower out-of-the-box thinking through multifarious methods, directed towards paradoxical situations, uncertain processes, chaotic, transient and nonlinear dynamics of complex systems. - Constructs and presents a multifarious approach for critical decision-making processes embodying paradoxes and uncertainty. - Includes a combination of theory and applications with regard to multi-chaos, fractal and multi-fractional as well as AI of different complex systems and many-body systems. - Provides readers with a bridge between application of advanced computational mathematical methods and AI based on comprehensive analyses and broad theories.

Energy Research Abstracts

Energy Research Abstracts PDF Author:
Publisher:
ISBN:
Category : Power resources
Languages : en
Pages : 526

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Book Description


Fractal Aspects of Materials

Fractal Aspects of Materials PDF Author: David A. Weitz
Publisher:
ISBN:
Category : Fractals
Languages : en
Pages : 382

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Book Description


Fractional Calculus: Theory and Applications

Fractional Calculus: Theory and Applications PDF Author: Francesco Mainardi
Publisher: MDPI
ISBN: 3038972061
Category : Mathematics
Languages : en
Pages : 209

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Book Description
This book is a printed edition of the Special Issue "Fractional Calculus: Theory and Applications" that was published in Mathematics

Extended Abstracts Fractal Aspects of Materials

Extended Abstracts Fractal Aspects of Materials PDF Author: Materials Research Society. Fall Meeting Symposium S.
Publisher:
ISBN:
Category : Fractals
Languages : en
Pages : 378

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Book Description