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Book Interpolation Processes

    Book Details:
  • Author : Giuseppe Mastroianni
  • Publisher : Springer Science & Business Media
  • Release : 2008-08-24
  • ISBN : 3540683496
  • Pages : 452 pages

Download or read book Interpolation Processes written by Giuseppe Mastroianni and published by Springer Science & Business Media. This book was released on 2008-08-24 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interpolation of functions is one of the basic part of Approximation Theory. There are many books on approximation theory, including interpolation methods that - peared in the last fty years, but a few of them are devoted only to interpolation processes. An example is the book of J. Szabados and P. Vértesi: Interpolation of Functions, published in 1990 by World Scienti c. Also, two books deal with a special interpolation problem, the so-called Birkhoff interpolation, written by G.G. Lorentz, K. Jetter, S.D. Riemenschneider (1983) and Y.G. Shi (2003). The classical books on interpolation address numerous negative results, i.e., - sultsondivergentinterpolationprocesses,usuallyconstructedoversomeequidistant system of nodes. The present book deals mainly with new results on convergent - terpolation processes in uniform norm, for algebraic and trigonometric polynomials, not yet published in other textbooks and monographs on approximation theory and numerical mathematics. Basic tools in this eld (orthogonal polynomials, moduli of smoothness,K-functionals, etc.), as well as some selected applications in numerical integration, integral equations, moment-preserving approximation and summation of slowly convergent series are also given. The rstchapterprovidesanaccountofbasicfactsonapproximationbyalgebraic and trigonometric polynomials introducing the most important concepts on appro- mation of functions. Especially, in Sect. 1.4 we give basic results on interpolation by algebraic polynomials, including representations and computation of interpolation polynomials, Lagrange operators, interpolation errors and uniform convergence in some important classes of functions, as well as an account on the Lebesgue function and some estimates for the Lebesgue constant.

Book Interpolation of Functions

Download or read book Interpolation of Functions written by J. Szabados and published by World Scientific. This book was released on 1990 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a systematic survey on the most significant results of interpolation theory in the last forty years. It deals with Lagrange interpolation including lower estimates, fine and rough theory, interpolatory proofs of Jackson and Teliakovski-Gopengauz theorems, Lebesgue function, Lebesgue constant of Lagrange interpolation, Bernstein and Erdös conjecture on the optimal nodes, the almost everywhere divergence of Lagrange interpolation for arbitrary system of nodes, Hermite-Fejer type and lacunary interpolation and other related topics.

Book Interpolation and Approximation

Download or read book Interpolation and Approximation written by Philip J. Davis and published by Courier Corporation. This book was released on 1975-01-01 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intermediate-level survey covers remainder theory, convergence theorems, and uniform and best approximation. Other topics include least square approximation, Hilbert space, orthogonal polynomials, theory of closure and completeness, and more. 1963 edition.

Book Applied and Computational Control  Signals  and Circuits

Download or read book Applied and Computational Control Signals and Circuits written by Biswa N. Datta and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this annual series, Applied and Computational Control, Signals, and Circuits, is to keep abreast of the fast-paced developments in computational mathematics and scientific computing and their increasing use by researchers and engineers in control, signals, and circuits. The series is dedicated to fostering effective communication between mathematicians, computer scientists, computational scientists, software engineers, theorists, and practicing engineers. This interdisciplinary scope is meant to blend areas of mathematics (such as linear algebra, operator theory, and certain branches of analysis) and computational mathematics (numerical linear algebra, numerical differential equations, large scale and parallel matrix computations, numerical optimization) with control and systems theory, signal and image processing, and circuit analysis and design. The disciplines mentioned above have long enjoyed a natural synergy. There are distinguished journals in the fields of control and systems the ory, as well as signal processing and circuit theory, which publish high quality papers on mathematical and engineering aspects of these areas; however, articles on their computational and applications aspects appear only sporadically. At the same time, there has been tremendous recent growth and development of computational mathematics, scientific comput ing, and mathematical software, and the resulting sophisticated techniques are being gradually adapted by engineers, software designers, and other scientists to the needs of those applied disciplines.

Book Modelling Coastal Sea Processes  Proceedings Of The International Ocean And Atmosphere Pacific Conference

Download or read book Modelling Coastal Sea Processes Proceedings Of The International Ocean And Atmosphere Pacific Conference written by John Noye and published by World Scientific. This book was released on 1999-11-26 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains updated, reviewed versions of the best papers on “Modelling Coastal Sea Processes” presented at the International Ocean and Atmosphere Pacific Conference, held in Adelaide, South Australia, on 23-27 October 1995. The articles were selected on both scientific merit and usefulness to coastal engineers, physical oceanographers and marine biologists. They cover a range of topics including the modelling of tides and storm surges (especially inundation due to surges), the analysis of modelled or recorded data to permit prediction of tide heights over tidal flats and tidal currents in the presence of coastal eddies, and the modelling of dispersion of fish larvae from spawning grounds to coastal nurseries. Computational techniques are emphasised in line with modern applications, but some analytical techniques have also been included.

Book Agricultural Water Management

Download or read book Agricultural Water Management written by Prashant K. Srivastava and published by Academic Press. This book was released on 2020-11-18 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Agricultural Water Management: Theories and Practices advances the scientific understanding, development and application of agricultural water management through an integrated approach. This book presents a collection of recent developments and applications of agricultural water management from advanced sources, such as satellite, mesoscale and climate models that are integrated with conceptual modeling systems. Users will find sections on drought, irrigation scheduling, weather forecasting, climate change, precipitation forecasting, and more. By linking these systems, this book provides the first resource to promote the synergistic and multidisciplinary activities of scientists in hydro-meteorological and agricultural sciences. As agricultural water management has gained considerable momentum in recent decades among the earth and environmental science communities as they seek solutions and an understanding of the concepts integral to agricultural water management, this book is an ideal resource for study and reference. Presents translational insights into drought, irrigation scheduling, weather forecasting, climate change and precipitation forecasting Advances the scientific understanding, development and application of agricultural water management Integrates geo-spatial techniques, agriculture, remote sensing, sustainable water resource development, applications and other diverse areas within earth and environmental, meteorological and hydrological sciences

Book Soil Health and Environmental Sustainability

Download or read book Soil Health and Environmental Sustainability written by Pravat Kumar Shit and published by Springer Nature. This book was released on 2022-09-27 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book demonstrates the measurement, monitoring, mapping and modelling of soil pollution and land resources. This book explores state-of-the-art techniques based on open sources software & R statistical programming and modelling in modern geo-computation techniques specifically focusing on the recent trends in data mining/machine learning techniques and robust modelling in soil resources. Soil and agricultural systems are an integral part of the global environment and human well‐being, providing multiple goods and services essential for people worldwide and crucial for sustainable development. Soil contamination is an environmental hazard and has become a big issue related to environmental health. The challenge of the twenty-first century is to reduce the contaminant load and bring it to below permissible level. The contamination is not only a problem affecting local environments at the place of occurrence but also spreading to other regions because of easy transportation of pollutants. This leads to direct and indirect contamination of land and aquatic systems, surface water and groundwater, inducing significant risks for natural ecosystems. In this context, the spatial modelling, prediction, efficient use, risk assessment, protection and management of soil resources in the agriculture system are the key to achieving sustainable development goals and ensuring the promotion of an economically, socially and environmental sustainability future. The aim of this book on soil contaminants and environmental health: application of geospatial technology is to identify the soil and sediment quality, sources of contaminants and risk assessment and focuses on the decision-making and planning point of view through GIS data management techniques. This book covers major topics such as spatial modelling in soil and sediments pollution and remediation; radioactive wastes, microbiology of soil and sediments, soil salinity and sodicity, pollution from landfill sites, soil erosion and contamination from agricultural activities, heavy metal pollution and health risk; environmental impact and risk assessment, sustainable land use, landscape management and governance, soil degradation and risk assessment, agricultural soil pollution, pollution due to urban activities, soil pollution by industrial effluents and solid wastes, pollution control and mitigation in extreme environments. The content of this book is of interest to researchers, professionals and policy-makers whose work is in soil science and agriculture practices. The book equips with the knowledge and skills to tackle a wide range of issues manifested in geographic data, including those with scientific, societal and environmental implications.

Book Handbook of Analytical Studies in Islamic Finance and Economics

Download or read book Handbook of Analytical Studies in Islamic Finance and Economics written by Zamir Iqbal and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-08-10 with total page 723 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook offers a unique and original collection of analytical studies in Islamic economics and finance, and constitutes a humble addition to the literature on new economic thinking and global finance. The growing risks stemming from higher debt, slower growth, and limited room for policy maneuver raise concerns about the ability and propensity of modern economies to find effective solutions to chronic problems. It is important to understand the structural roots of inherent imbalance, persistence-in-error patterns, policy and governance failures, as well as moral and ethical failures. Admittedly, finance and economics have their own failures, with abstract theory bearing little relation with the real economy, uncertainties and vicissitudes of economic life. Economic research has certainly become more empirical despite, or perhaps because of, the lack of guidance from theory. The analytics of Islamic economics and finance may not differ from standard frameworks, methods, and techniques used in conventional economics, but may offer new perspectives on the making of financial crises, nature of credit cycles, roots of financial system instability, and determinants of income disparities. The focus is placed on the logical coherence of Islamic economics and finance, properties of Islamic capital markets, workings of Islamic banking, pricing of Islamic financial instruments, and limits of debt financing, fiscal stimulus and conventional monetary policies, inter alia. Readers with investment, regulatory, and academic interests will find the body of analytical evidence to span many areas of economic inquiry, refuting thereby the false argument that given its religious tenets, Islamic economics is intrinsically narrative, descriptive and not amenable to testable implications. Thus, the handbook may contribute toward a redefinition of a dismal science in search for an elusive balance between rationality, ethics and morality, and toward a remodeling of economies based on risk sharing and prosperity for all humanity

Book The Finite Element Method for Solid and Structural Mechanics

Download or read book The Finite Element Method for Solid and Structural Mechanics written by Olek C Zienkiewicz and published by Butterworth-Heinemann. This book was released on 2013-11-08 with total page 657 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Finite Element Method for Solid and Structural Mechanics is the key text and reference for engineers, researchers and senior students dealing with the analysis and modeling of structures, from large civil engineering projects such as dams to aircraft structures and small engineered components. This edition brings a thorough update and rearrangement of the book’s content, including new chapters on: Material constitution using representative volume elements Differential geometry and calculus on manifolds Background mathematics and linear shell theory Focusing on the core knowledge, mathematical and analytical tools needed for successful structural analysis and modeling, The Finite Element Method for Solid and Structural Mechanics is the authoritative resource of choice for graduate level students, researchers and professional engineers. A proven keystone reference in the library of any engineer needing to apply the finite element method to solid mechanics and structural design Founded by an influential pioneer in the field and updated in this seventh edition by an author team incorporating academic authority and industrial simulation experience Features new chapters on topics including material constitution using representative volume elements, as well as consolidated and expanded sections on rod and shell models

Book Mathematics for Digital Computers

Download or read book Mathematics for Digital Computers written by and published by . This book was released on 1958 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Multi Modality Atherosclerosis Imaging and Diagnosis

Download or read book Multi Modality Atherosclerosis Imaging and Diagnosis written by Luca Saba and published by Springer Science & Business Media. This book was released on 2013-09-13 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stroke is one of the leading causes of death in the world, resulting mostly from the sudden ruptures of atherosclerosis carotid plaques. Understanding why and how plaque develops and ruptures requires a multi-disciplinary approach such as radiology, biomedical engineering, medical physics, software engineering, hardware engineering, pathological and histological imaging. Multi-Modality Atherosclerosis Imaging, Diagnosis and Treatment presents a new dimension of understanding Atherosclerosis in 2D and 3D. This book presents work on plaque stress analysis in order to provide a general framework of computational modeling with atherosclerosis plaques. New algorithms based on 3D and 4D Ultrasound are presented to assess the atherosclerotic disease as well as very recent advances in plaque multimodality image fusion analysis. The goal of Multi-Modality Atherosclerosis Imaging, Diagnosis and Treatment is to fuse information obtained from different 3D medical image modalities, such as 3D US, CT and MRI, providing the medical doctor with some sort of augmented reality information about the atherosclerotic plaque in order to improve the accuracy of the diagnosis. Analysis of the plaque dynamics along the cardiac cycle is also a valuable indicator for plaque instability assessment and therefore for risk stratification. 4D Ultrasound, a sequence of 3D reconstructions of the region of interest along the time, can be used for this dynamic analysis. Multimodality Image Fusion is a very appealing approach because it puts together the best characteristics of each modality, such as, the high temporal resolution of US and the high spatial resolutions of MRI and CT.

Book Perceptual Organization and Visual Recognition

Download or read book Perceptual Organization and Visual Recognition written by D. Lowe and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: COMPUTER VISION is a field of research that encompasses many objectives. A primary goal has been to construct visual sensors that can provide general-purpose robots with the same information about their surroundings as we receive from our own visual senses. This book takes an important step towards this goal by describing a working computer vision system named SCERPO. This system can recognize known three-dimensional objects in ordinary black-and-white images taken from unknown viewpoints, even when parts of the object are undetectable or hidden from view. A second major goal of computer vision re search is to provide a computational understanding of human vision. The research presented in this book has many implica tions for our understanding of human vision, particularly in the areas of perceptual organization and knowledge-based recogni tion. An attempt has been made to relate each computational result to the relevant areas in the psychology of vision. Since the material is meant to be accessible to a wide range of inter disciplinary readers, the book is written in plain language and attempts to explain most concepts from the starting position of the non-specialist. vii viii PREFACE One of the most important conclusions ansmg from this research is that visual recognition can commonly be achieved directly from the two-dimensional image without any prelim inary reconstruction of depth information or surface orienta tion from the visual input.

Book Advanced Manufacturing Systems  ICMSE 2011

Download or read book Advanced Manufacturing Systems ICMSE 2011 written by Dao Guo Yang and published by Trans Tech Publications Ltd. This book was released on 2011-02-21 with total page 3094 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work brings together the latest applications of, and advances in, CAD/CAM/CAE, energy storage and energy development, mining machinery manufacturing, new energy equipment and manufacturing, cloud manufacturing and extreme manufacturing, bio-manufacturing, enterprise informationization, integrated manufacturing systems, quality monitoring and control of manufacturing processes, measurement control technologies and intelligent systems, embedded systems, etc. This broad overview of the latest advances also provides a reference source for researchers in this field.

Book Separation Processes

Download or read book Separation Processes written by C. Judson King and published by Courier Corporation. This book was released on 2013-12-18 with total page 1096 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published: New York: McGraw-Hill, 1971. 2nd ed. Includes a new introduction.

Book Essentials of Stochastic Processes

Download or read book Essentials of Stochastic Processes written by Kiyosi Itō and published by American Mathematical Soc.. This book was released on 2006 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an English translation of Kiyosi Ito's monograph published in Japanese in 1957. It gives a unified and comprehensive account of additive processes (or Levy processes), stationary processes, and Markov processes, which constitute the three most important classes of stochastic processes. Written by one of the leading experts in the field, this volume presents to the reader lucid explanations of the fundamental concepts and basic results in each of these three major areasof the theory of stochastic processes. With the requirements limited to an introductory graduate course on analysis (especially measure theory) and basic probability theory, this book is an excellent text for any graduate course on stochastic processes. Kiyosi Ito is famous throughout the world forhis work on stochastic integrals (including the Ito formula), but he has made substantial contributions to other areas of probability theory as well, such as additive processes, stationary processes, and Markov processes (especially diffusion processes), which are topics covered in this book. For his contributions and achievements, he has received, among others, the Wolf Prize, the Japan Academy Prize, and the Kyoto Prize.

Book Physics of Coal and Mining Processes

Download or read book Physics of Coal and Mining Processes written by Anatoly D. Alexeev and published by CRC Press. This book was released on 2011-11-28 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: Around the world, on average, four coal miners die for each million tons of coal recovered. Improving the safety of mining work while responding to the need for increased coal production, however, is impossible without further development of the physics of mining processes. A relatively new branch of science, it tackles problems that arise during mineral products recovery, particularly safety issues such as rock failures, coal and gas outbursts, and methane explosions. The first book to present a unifying methodology for addressing problems such as outbursts and explosions of methane in coal mining, Physics of Coal and Mining Processes integrates theoretical and experimental research on coal and bearing rocks and examines the anthropogenic processes that occur during deep underground mining. The book summarizes the results of recent and established research, including studies conducted at the Institute of Physics of Mining Processes of the National Academy of Sciences of Ukraine, headed by the author. Key topics covered include rock mass in multi-component compressive stress fields and phase conditions of methane in coal. The book also examines state-of-the-art instrumentation and physical methods of analysis, among them x-ray analysis of coal structures combined with computer simulation and nuclear magnetic resonance (NMR) spectroscopy combined with gas chromatography. Bridging the gap between the academic theory and the practice of coal mining, the book proposes novel methods to predict rock mass condition, control gas-dynamic phenomena, and estimate safe mining loads. A useful reference for scientists, technicians, and engineers working in the coal industry, it also offers an overview of the physics of mining processes for students pursuing careers in the field.

Book Perception

Download or read book Perception written by and published by . This book was released on 2003 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt: