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Differential Equations - Theory and Current Research

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ISBN: 9781789231564 9781789231571 Year: Pages: 182 DOI: 10.5772/intechopen.71745 Language: English
Publisher: IntechOpen
Subject: Mathematics
Added to DOAB on : 2019-10-03 07:51:51

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The editor has incorporated contributions from a diverse group of leading researchers in the field of differential equations. This book aims to provide an overview of the current knowledge in the field of differential equations. The main subject areas are divided into general theory and applications. These include fixed point approach to solution existence of differential equations, existence theory of differential equations of arbitrary order, topological methods in the theory of ordinary differential equations, impulsive fractional differential equations with finite delay and integral boundary conditions, an extension of Massera's theorem for n-dimensional stochastic differential equations, phase portraits of cubic dynamic systems in a Poincare circle, differential equations arising from the three-variable Hermite polynomials and computation of their zeros and reproducing kernel method for differential equations. Applications include local discontinuous Galerkin method for nonlinear Ginzburg-Landau equation, general function method in transport boundary value problems of theory of elasticity and solution of nonlinear partial differential equations by new Laplace variational iteration method. Existence/uniqueness theory of differential equations is presented in this book with applications that will be of benefit to mathematicians, applied mathematicians and researchers in the field. The book is written primarily for those who have some knowledge of differential equations and mathematical analysis. The authors of each section bring a strong emphasis on theoretical foundations to the book.

Time Series Analysis and Applications

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ISBN: 9789535137429 9789535137436 9789535140429 Year: Pages: 180 DOI: 10.5772/intechopen.68262 Language: English
Publisher: IntechOpen
Subject: Mathematics
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Time Series Analysis (TSA) and Applications offers a dense content of current research and development in the field of data science. The book presents time series from a multidisciplinary approach that covers a wide range of sectors ranging from biostatistics to renewable energy forecasting. Contrary to previous literatures on time, serious readers will discover the potential of TSA in areas other than finance or weather forecasting. The choice of the algorithmic transform for different scenarios, which is a key determinant in the application of TSA, can be understood through the diverse domain applications. Readers looking for deep understanding and practicability of TSA will be delighted. Early career researchers too will appreciate the technicalities and refined mathematical complexities surrounding TSA. Our wish is that this book adds to the body of TSA knowledge and opens up avenues for those who are looking forward to applying TSA in their own context.

Simulation and Gaming

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ISBN: 9789535138037 9789535138006 9789535140832 Year: Pages: 232 DOI: 10.5772/intechopen.69391 Language: English
Publisher: IntechOpen
Subject: Computer Science
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The book ""Simulation and Gaming"" discusses the following topics and research areas: game-based methods of problem solution and data processing, analysis, and information mining; educational games and game features, including game characteristics, story, mechanics, and methodology; development of integrated games tasked with helping students in interpreting, translating, and manipulating the field of kinematics through formal presentations; possibility of research integration through real and practical examples and games as well, in the field of physics; analysis of game engines from various aspects such as modularity, performance, and usability; virtual reality (VR) and interaction mechanisms used for three-dimensional (3D) game development; analysis, development, design, implementation, and evaluation of the simulation model in the field of engineering and metallurgy, according to ADDIE model; concept of computational thinking, with an accent on its inclusion in compulsory education; overview of the current prominence of AI simulation based in the gaming leisure industry, mainly for research purposes in the context of gambling and forecasting of online casino patron's churn behavior; innovative modeling and simulation approach using newly proposed advanced game-based mathematical framework, unified game-based acquisition framework, and a set of war-gaming engines to address the challenges for acquisition of future space systems; modification of simulation of a complex system and a physics model through programming, achieved with a block-based programming language.

Finite Element Method - Simulation, Numerical Analysis and Solution Techniques

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ISBN: 9789535138495 9789535138501 9789535140795 Year: Pages: 322 DOI: 10.5772/intechopen.69137 Language: English
Publisher: IntechOpen
Subject: Mathematics
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The book entitled Finite Element Method: Simulation, Numerical Analysis, and Solution Techniques aims to present results of the applicative research performed using FEM in various engineering fields by researchers affiliated to well-known universities. The book has a profound interdisciplinary character and is mainly addressed to researchers, PhD students, graduate and undergraduate students, teachers, engineers, as well as all other readers interested in the engineering applications of FEM. I am confident that readers will find information and challenging topics of high academic and scientific level, which will encourage them to enhance their knowledge in this engineering domain having a continuous expansion. The applications presented in this book cover a broad spectrum of finite element applications starting from mechanical, electrical, or energy production and finishing with the successful simulation of severe meteorological phenomena.

Chaos Theory

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ISBN: 9789535139454 9789535139461 9789535140658 Year: Pages: 260 DOI: 10.5772/intechopen.68716 Language: English
Publisher: IntechOpen
Subject: Mathematics
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With a good background in nonlinear dynamics, chaos theory, and applications, the author of this leading book gives a systematic treatment of the basic principle of nonlinear dynamics in different fields. The contributions from leading international scientists active in the field provide a comprehensive overview of our current level of background on chaos theory and applications in different sciences. In addition, they show overlap with the traditional field of control theory in scientific community.

Memristor and Memristive Neural Networks

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ISBN: 9789535139478 9789535139485 9789535140092 Year: Pages: 324 DOI: 10.5772/66539 Language: English
Publisher: IntechOpen
Subject: Computer Science
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This book covers a range of models, circuits and systems built with memristor devices and networks in applications to neural networks. It is divided into three parts: (1) Devices, (2) Models and (3) Applications. The resistive switching property is an important aspect of the memristors, and there are several designs of this discussed in this book, such as in metal oxide/organic semiconductor nonvolatile memories, nanoscale switching and degradation of resistive random access memory and graphene oxide-based memristor. The modelling of the memristors is required to ensure that the devices can be put to use and improve emerging application. In this book, various memristor models are discussed, from a mathematical framework to implementations in SPICE and verilog, that will be useful for the practitioners and researchers to get a grounding on the topic. The applications of the memristor models in various neuromorphic networks are discussed covering various neural network models, implementations in A/D converter and hierarchical temporal memories.

Topics in Splines and Applications

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ISBN: 9781789232509 9781789232516 Year: Pages: 160 DOI: 10.5772/intechopen.68737 Language: English
Publisher: IntechOpen
Subject: Mathematics
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Splines provide a significant tool for the design of computationally economical curves and surfaces for the construction of various objects like automobiles, ship hulls, airplane fuselages and wings, propeller blades, shoe insoles, bottles, etc. It also contributes in the description of geological, physical, statistical, and even medical phenomena. Spline methods have proven to be indispensable in a variety of modern industries, including computer vision, robotics, signal and image processing, visualization, textile, graphic designs, and even media. This book aims to provide a valuable source on splines and their applications. It focuses on collecting and disseminating information in various disciplines including computer-aided geometric design, computer graphics, data visualization, data fitting, power systems, clinical and epidemiologic studies, disease detection, regression curves, social media, and biological studies. The book is useful for researchers, scientists, practitioners, and many others who seek state-of-the-art techniques and applications using splines. It is also useful for undergraduate senior students as well as graduate students in the areas of computer science, engineering, health science, statistics, and mathematics. Each chapter also provides useful information on software developments and their extensions.

Numerical Simulations in Engineering and Science

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ISBN: 9781789234503 9781789234510 Year: Pages: 404 DOI: 10.5772/68125 Language: English
Publisher: IntechOpen
Subject: Computer Science
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Computational science is one of the rapidly growing multidisciplinary fields. The high-performance computing capabilities are utilized to solve and understand complex problems. This book offers a detailed exposition of the numerical methods that are used in engineering and science. The chapters are arranged in such a way that the readers will be able to select the topics appropriate to their interest and need. The text features a broad array of applications of computational methods to science and technology. This book would be an interesting supplement for the practicing engineers, scientists, and graduate students.

Molecular Dynamics

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ISBN: 9781789235241 9781789235258 Year: Pages: 100 DOI: 10.5772/intechopen.70978 Language: English
Publisher: IntechOpen
Subject: Computer Science
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This book is devoted to a description of the modeling of nanosystems and a detailed exposition of the application of molecular dynamics methods to problems from various fields of technology: material science, the formation of composite molecular complexes, and transport of nanosystems. The research results of the modeling of various nanosystems are presented: soft supramolecular nanostructures, nanosized beams of single-crystal Cu, metallic nanosized crystals, drug delivery systems, and systems stabilized by hydrogen bonds. The information from this book will be useful for engineers, technologists, researchers, and postgraduate students interested in the study of the whole complex of computer simulation based on the concept of molecular dynamics methods for the task of designing and producing nanomaterials with controlled properties.

Structural Health Monitoring from Sensing to Processing

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ISBN: 9781789237870 9781789237887 Year: Pages: 190 DOI: 10.5772/intechopen.73069 Language: English
Publisher: IntechOpen
Subject: Computer Science
Added to DOAB on : 2019-10-03 07:51:52

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Structural health monitoring (SHM) has attracted more attention during the last few decades in many engineering fields with the main aim of avoiding structural disastrous events. This aim is achieved by using advanced sensing techniques and further data processing. SHM has experienced booming advancements during recent years due to the developments in sensing techniques. The reliable operation of current, sophisticated, man-made structures drives the development of incipient reliable damage diagnosis and assessment. This book aims to illustrate the background and applications of SHM from both sensing and processing approaches. Its main objective is to summarize the advantages and disadvantages of SHM methodologies and their applications, which may provide a new perspective in understanding SHM for readers from diverse engineering fields.

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