3. Book Chapters
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Item Ball convergence theorem for a fifth-order method in banach spaces(2019) Argyros I.K.; George S.We present a local convergence analysis for a fifth-order method in order to approximate a solution of a nonlinear equation in a Banach space. Our sufficient convergence conditions involve only hypotheses on the first Fréchet-derivative of the operator involved. Earlier studies use hypotheses up to the fourth Fréchet-derivative [1]. Hence, the applicability of these methods is expanded under weaker hypotheses and less computational cost for the constants involved in the convergence analysis. Numerical examples are also provided in this study. © 2020 by Nova Science Publishers, Inc. All rights reserved.Item A Systematic Mapping Study of Content Based Filtering Recommender Systems(2019) Jain M.; Singh S.; Chandrasekaran K.There has been extremely limited use of recommender systems for clothing suggestions. A clear idea of where recommender systems are used would facilitate the correct method of implementation for the domain given above. In order to propose a solution, there is a need to properly analyse the various existing approaches and solutions developed in a particular field. This study will help us gain clarity to answer several research questions in the chosen domain. A systematic mapping study is carried out to identify as well as classify the research papers pertaining to the chosen field. © 2019, Springer Nature Switzerland AG.Item Testing of foams(2019) Gupta N.; Zeltmann S.E.; Luong D.D.; Doddamani M.Foams are lightweight cellular materials that are widely used in applications such as packaging, thermal insulation, sound absorption, underwater vehicle structures, and as the core in sandwich structures used in aircraft. Testing of foams to obtain reliable properties that are relevant to a given application is a significant challenge. High damping, high compressive or tensile strain, and high volume of air in the structure are among the challenges that make it difficult to apply the common test methods to these materials. For example, use of strain gauges for tensile or compression testing is usually not possible because bonding the strain gauges to the surface of a cellular material may not be possible, the small measurement range of a strain gauge may not be enough to capture the strain in the entire loading range, and microscopic material structure may dominate the measurement. This chapter discusses test techniques that include quasi-static compression, high strain rate compression, impact, dynamic mechanical analysis, vibration methods, and imaging techniques that are relevant to testing of foams. The imaging methods include ultrasonic imaging and microCT-scanning. Test techniques are described and results on representative foam materials are presented to understand the test outcomes. © Springer Nature Singapore Pte Ltd. 2019.Item Weaker convergence conditions of an iterative method for nonlinear ill-posed equations(2019) Argyros I.K.; George S.In this chapter we expand the applicability of an iterative method which converges to the unique solution xα of the method of Lavrentiev regularization, i.e., F(x) + α(x - x0) = y, approximating the solution x of the ill-posed problem F(x) = y where F: D(F) - X - X is a nonlinear monotone operator defined on a real Hilbert space X. We use a center-Lipschitz instead of a Lipschitz condition used in [1-3]. The convergence analysis and the stopping rule are based on the majorizing sequence. The choice of the regularization parameter is the crucial issue. We show that the adaptive scheme considered by Perverzev and Schock [4] for choosing the regularization parameter can be effectively used here for obtaining order optimal error estimate. Numerical examples are presented to show that older convergence conditions [1-3] are not satisfied but the new ones are satisfied. © 2020 by Nova Science Publishers, Inc. All rights reserved.Item Local convergence of osada’s method for finding zeros with multiplicity(2019) Argyros I.K.; George S.We provide an extended local convergence of Osada’s method for approximating a zero of a nonlinear equation with multiplicitym, where m is a natural number. The new technique provides a tighter convergence analysis under the same computational cost as in earlier works. This technique can be used on other iterative methods too. Numerical examples further validate the theoretical results. © 2020 by Nova Science Publishers, Inc. All rights reserved.Item Improved qualitative analysis for newton-like methods with r-order of convergence at least three in banach spaces(2019) Argyros I.K.; George S.The aim of this study is to extend the applicability of a certain family of Newton- like methods with R-order of convergence at least three. By using our new idea of restricted convergence, we find a more precise location where the iterates lie leading to smaller constants and functions than in earlier studies which in turn lead to a tighter semi-local convergence for these methods. This idea can be used on other iterative methods as well as in the local convergence analysis of these methods. Numerical examples further show the advantages of the new results over the ones in earlier studies. © 2020 by Nova Science Publishers, Inc. All rights reserved.Item Modified newton-type compositions for solving equations in banach spaces(2019) Argyros I.K.; George S.We compare the radii of convergence as well as the error bounds of two efficient sixth convergence order methods for solving Banach space valued operators. The convergence criteria invlove conditions on the first derivative. Earlier convergence criteria require the existence of derivatives up to order six. Therefore, our results extended the usage of these methods. Numerical examples complement the theoretical results. © 2020 by Nova Science Publishers, Inc. All rights reserved.Item A perspective of advanced biosensors for environmental monitoring(2019) Balakrishnan R.M.; Uddandarao P.; Raval K.; Raval R.Biosensor technology has developed in leaps and bounds due to multidisciplinary approach between biotechnology and nanotechnology. This synergy provided much needed characteristic features, such as sensitivity and selectivity to the biosensor technology. Biosensors are venerated as superior entities for electrochemical, optical, and calorimetric-based sensing because of their exceptional size properties. They are the potential tools, which exhibited the feasibility and potential in detecting various biological, physical, chemical, radiological contaminants in water. This book chapter outlines the overview of various types of sensors, especially on chalcogen-based semiconductor nanoparticles. In this scenario, green route nanoparticles which employ PbSe quantum dots synthesis via marine Aspergillus terreus and ZnS/PbS nanoparticles via an endophytic fungus Aspergillus flavus are focused in this chapter. The book chapter also discusses about highly selective biogenic nanosensors which play a significant role in improving the capacity of biosensors due to their size tuneable quantum confinement effects. Potential applications of these biosensors for environmental monitoring are discussed. © 2019 Elsevier Inc. All rights reserved.Item Fundamentals and basics of reverse osmosis(2019) Ibrahim G.P.S.; Isloor A.M.; Farnood R.This chapter endows an inclusive introduction to the fundamentals and basics of the reverse osmosis (RO) process. It starts from the short history, plants, and theoretical contextual of RO. A concise summary of the recent advances in RO membranes and materials then follows. Lastly, the usage of different types of modules such as spiral wound prepared from flat sheet membranes and hollow fiber membranes used in RO desalination is discussed. © 2020 Elsevier Inc. All rights reserved.Item Solar Radiation Assessment and Forecasting Using Satellite Data(2019) Masoom A.; Kashyap Y.; Bansal A.Since the availability of ground data is very sparse, satellite data provides an alternative method to estimate solar irradiation. Satellite data across various spectral bands may be employed to distinguish weather signatures, such as dust, aerosols, fog, and clouds. For a tropical country like India, which is potentially rich in solar energy resources, the study of these parameters is of crucial importance from the perspective of solar energy. Furthermore, a complete utilization of the solar energy depends on its proper integration with power grids. Because of its variable nature, incorporation of photovoltaic energy into electricity grids suffers technical challenges. Solar radiation is subjected to reflection, scattering and absorption by air molecules, clouds, and aerosols in the atmosphere. Clouds can block most of the direct radiation. Modern solar energy forecasting systems rely on real-time Earth observation from the satellite for detecting clouds and aerosols. © 2019, Springer Nature Singapore Pte Ltd.