Inclusion Methods for Nonlinear Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 3709160332
Total Pages : 247 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Inclusion Methods for Nonlinear Problems by : Jürgen Herzberger

Download or read book Inclusion Methods for Nonlinear Problems written by Jürgen Herzberger and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: This workshop was organized with the support of GAMM, the International Association of Applied Mathematics and Mechanics, on the occasion of J. Herzberger's 60th birthday. GAMM is thankful to him for all the time and work he spent in the preparation and holding of the meeting. The talks presented during the workshop and the papers published in this volume are part of the field of Verification Numerics. The important subject is fostered by GAMM already since a number of years, especially also by the GAMM FachausschuB (special interest group) "Rechnerarithmetik und Wissenschaft liches Rechnen". GiHz Alefeld Karlsruhe, Dezember 2001 (President of GAMM) Preface At the end of the year 2000, about 23 scientists from many countries gathered in the beautiful city of Munich on the occasion of the International GAMM Workshop on "Inclusion Methods for Nonlinear Problems with Applications in Engineering, Economics and Physics" from December 15 to 18. The purpose of this meeting was to bring together representatives of research groups from Austria, Bulgaria, China, Croatia, Germany, Japan, Russia, Ukraine and Yugoslavia who in a wider sense work in the field of calculating numerical solutions with error-bounds. Most of those participants have already known each other from earlier occasions or closely cooperated in the past. Representatives from three Academies of Sciences were among the speakers of this conference: from the Bulgarian Academy, the Russian Academy and the Ukrainian Academy of Sciences.

Iterative Methods for Solving Nonlinear Equations and Systems

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Publisher : MDPI
ISBN 13 : 3039219405
Total Pages : 494 pages
Book Rating : 4.0/5 (392 download)

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Book Synopsis Iterative Methods for Solving Nonlinear Equations and Systems by : Juan R. Torregrosa

Download or read book Iterative Methods for Solving Nonlinear Equations and Systems written by Juan R. Torregrosa and published by MDPI. This book was released on 2019-12-06 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solving nonlinear equations in Banach spaces (real or complex nonlinear equations, nonlinear systems, and nonlinear matrix equations, among others), is a non-trivial task that involves many areas of science and technology. Usually the solution is not directly affordable and require an approach using iterative algorithms. This Special Issue focuses mainly on the design, analysis of convergence, and stability of new schemes for solving nonlinear problems and their application to practical problems. Included papers study the following topics: Methods for finding simple or multiple roots either with or without derivatives, iterative methods for approximating different generalized inverses, real or complex dynamics associated to the rational functions resulting from the application of an iterative method on a polynomial. Additionally, the analysis of the convergence has been carried out by means of different sufficient conditions assuring the local, semilocal, or global convergence. This Special issue has allowed us to present the latest research results in the area of iterative processes for solving nonlinear equations as well as systems and matrix equations. In addition to the theoretical papers, several manuscripts on signal processing, nonlinear integral equations, or partial differential equations, reveal the connection between iterative methods and other branches of science and engineering.

Multipoint Methods for Solving Nonlinear Equations

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Publisher : Academic Press
ISBN 13 : 0123972981
Total Pages : 317 pages
Book Rating : 4.1/5 (239 download)

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Book Synopsis Multipoint Methods for Solving Nonlinear Equations by : Miodrag Petkovic

Download or read book Multipoint Methods for Solving Nonlinear Equations written by Miodrag Petkovic and published by Academic Press. This book was released on 2012-12-31 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first on the topic and explains the most cutting-edge methods needed for precise calculations and explores the development of powerful algorithms to solve research problems. Multipoint methods have an extensive range of practical applications significant in research areas such as signal processing, analysis of convergence rate, fluid mechanics, solid state physics, and many others. The book takes an introductory approach in making qualitative comparisons of different multipoint methods from various viewpoints to help the reader understand applications of more complex methods. Evaluations are made to determine and predict efficiency and accuracy of presented models useful to wide a range of research areas along with many numerical examples for a deep understanding of the usefulness of each method. This book will make it possible for the researchers to tackle difficult problems and deepen their understanding of problem solving using numerical methods. Multipoint methods are of great practical importance, as they determine sequences of successive approximations for evaluative purposes. This is especially helpful in achieving the highest computational efficiency. The rapid development of digital computers and advanced computer arithmetic have provided a need for new methods useful to solving practical problems in a multitude of disciplines such as applied mathematics, computer science, engineering, physics, financial mathematics, and biology. Provides a succinct way of implementing a wide range of useful and important numerical algorithms for solving research problems Illustrates how numerical methods can be used to study problems which have applications in engineering and sciences, including signal processing, and control theory, and financial computation Facilitates a deeper insight into the development of methods, numerical analysis of convergence rate, and very detailed analysis of computational efficiency Provides a powerful means of learning by systematic experimentation with some of the many fascinating problems in science Includes highly efficient algorithms convenient for the implementation into the most common computer algebra systems such as Mathematica, MatLab, and Maple

Numerical Methods for Nonlinear Elliptic Differential Equations

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Publisher : Oxford University Press
ISBN 13 : 0199577048
Total Pages : 775 pages
Book Rating : 4.1/5 (995 download)

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Book Synopsis Numerical Methods for Nonlinear Elliptic Differential Equations by : Klaus Böhmer

Download or read book Numerical Methods for Nonlinear Elliptic Differential Equations written by Klaus Böhmer and published by Oxford University Press. This book was released on 2010-10-07 with total page 775 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boehmer systmatically handles the different numerical methods for nonlinear elliptic problems.

Numerical Methods for Nonlinear Variational Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 3662126133
Total Pages : 506 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Numerical Methods for Nonlinear Variational Problems by : Roland Glowinski

Download or read book Numerical Methods for Nonlinear Variational Problems written by Roland Glowinski and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the mathematical background and reviews the techniques for solving problems, including those that require large computations such as transonic flows for compressible fluids and the Navier-Stokes equations for incompressible viscous fluids. Finite element approximations and non-linear relaxation, and nonlinear least square methods are all covered in detail, as are many applications. This volume is a classic in a long-awaited softcover re-edition.

Method of Guiding Functions in Problems of Nonlinear Analysis

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Publisher : Springer
ISBN 13 : 3642370705
Total Pages : 189 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Method of Guiding Functions in Problems of Nonlinear Analysis by : Valeri Obukhovskii

Download or read book Method of Guiding Functions in Problems of Nonlinear Analysis written by Valeri Obukhovskii and published by Springer. This book was released on 2013-05-13 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a self-contained introduction to the theory of guiding functions methods, which can be used to study the existence of periodic solutions and their bifurcations in ordinary differential equations, differential inclusions and in control theory. It starts with the basic concepts of nonlinear and multivalued analysis, describes the classical aspects of the method of guiding functions, and then presents recent findings only available in the research literature. It describes essential applications in control theory, the theory of bifurcations, and physics, making it a valuable resource not only for “pure” mathematicians, but also for students and researchers working in applied mathematics, the engineering sciences and physics.

Geometric Modelling

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Publisher : Springer Science & Business Media
ISBN 13 : 3709105870
Total Pages : 246 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Geometric Modelling by : S. Hahmann

Download or read book Geometric Modelling written by S. Hahmann and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 19 articles presented by leading experts in the field of geometric modelling the state-of-the-art on representing, modeling, and analyzing curves, surfaces as well as other 3-dimensional geometry is given. The range of applications include CAD/CAM-systems, computer graphics, scientific visualization, virtual reality, simulation and medical imaging. The content of this book is based on selected lectures given at a workshop held at IBFI Schloss Dagstuhl, Germany. Topics treated are: – curve and surface modelling – non-manifold modelling in CAD – multiresolution analysis of complex geometric models – surface reconstruction – variational design – computational geometry of curves and surfaces – 3D meshing – geometric modelling for scientific visualization – geometric models for biomedical applications

Artificial Neural Nets and Genetic Algorithms

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Publisher : Springer Science & Business Media
ISBN 13 : 9783211007433
Total Pages : 284 pages
Book Rating : 4.0/5 (74 download)

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Book Synopsis Artificial Neural Nets and Genetic Algorithms by : David W. Pearson

Download or read book Artificial Neural Nets and Genetic Algorithms written by David W. Pearson and published by Springer Science & Business Media. This book was released on 2003-04-08 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this volume present theoretical aspects and applications of artificial neural networks and genetic algorithms. Also included are papers on fuzzy logic, soft computing, and artificial intelligence. Fundamental issues are addressed, such as the nonlinear approximation capabilities of neural networks and formal methods of data representation with topological properties. New elements in genetic algorithms are presented, for example, crossover methods and gene representation. Papers on applications of neural networks show how successful these methods are in a wide range of fields like meteorological and atmospheric pollution forecasts, furnace control, and system identification. Genetic algorithms are used to solve optimization problems related to shipping and computer vision. Fuzzy-logic-based techniques are applied to sociodynamic models and hybrid neuro-fuzzy models.

Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2012 Edition

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Publisher : ScholarlyEditions
ISBN 13 : 1481647628
Total Pages : 119 pages
Book Rating : 4.4/5 (816 download)

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Book Synopsis Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2012 Edition by :

Download or read book Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2012 Edition written by and published by ScholarlyEditions. This book was released on 2013-01-10 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2012 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Nonlinear Research. The editors have built Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2012 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Nonlinear Research in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2012 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Some Remarks about the Monotone Inclusion for Solutions of Nonlinear Equations by Regula-falski-like Methods

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Publisher :
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.:/5 (255 download)

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Book Synopsis Some Remarks about the Monotone Inclusion for Solutions of Nonlinear Equations by Regula-falski-like Methods by : N. Schneider

Download or read book Some Remarks about the Monotone Inclusion for Solutions of Nonlinear Equations by Regula-falski-like Methods written by N. Schneider and published by . This book was released on 1981 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 1078 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2004 with total page 1078 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computational Methods in Nonlinear Structural and Solid Mechanics

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Publisher : Elsevier
ISBN 13 : 1483145646
Total Pages : 472 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Computational Methods in Nonlinear Structural and Solid Mechanics by : Ahmed K. Noor

Download or read book Computational Methods in Nonlinear Structural and Solid Mechanics written by Ahmed K. Noor and published by Elsevier. This book was released on 2014-05-20 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Methods in Nonlinear Structural and Solid Mechanics covers the proceedings of the Symposium on Computational Methods in Nonlinear Structural and Solid Mechanics. The book covers the development of efficient discretization approaches; advanced numerical methods; improved programming techniques; and applications of these developments to nonlinear analysis of structures and solids. The chapters of the text are organized into 10 parts according to the issue they tackle. The first part deals with nonlinear mathematical theories and formulation aspects, while the second part covers computational strategies for nonlinear programs. Part 3 deals with time integration and numerical solution of nonlinear algebraic equations, while Part 4 discusses material characterization and nonlinear fracture mechanics, and Part 5 tackles nonlinear interaction problems. The sixth part discusses seismic response and nonlinear analysis of concrete structure, and the seventh part tackles nonlinear problems for nuclear reactors. Part 8 covers crash dynamics and impact problems, while Part 9 deals with nonlinear problems of fibrous composites and advanced nonlinear applications. The last part discusses computerized symbolic manipulation and nonlinear analysis software systems. The book will be of great interest to numerical analysts, computer scientists, structural engineers, and other professionals concerned with nonlinear structural and solid mechanics.

Iterative Methods for Approximate Solution of Inverse Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 140203122X
Total Pages : 298 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Iterative Methods for Approximate Solution of Inverse Problems by : A.B. Bakushinsky

Download or read book Iterative Methods for Approximate Solution of Inverse Problems written by A.B. Bakushinsky and published by Springer Science & Business Media. This book was released on 2007-09-28 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a unified approach to constructing iterative methods for solving irregular operator equations and provides rigorous theoretical analysis for several classes of these methods. The analysis of methods includes convergence theorems as well as necessary and sufficient conditions for their convergence at a given rate. The principal groups of methods studied in the book are iterative processes based on the technique of universal linear approximations, stable gradient-type processes, and methods of stable continuous approximations. Compared to existing monographs and textbooks on ill-posed problems, the main distinguishing feature of the presented approach is that it doesn’t require any structural conditions on equations under consideration, except for standard smoothness conditions. This allows to obtain in a uniform style stable iterative methods applicable to wide classes of nonlinear inverse problems. Practical efficiency of suggested algorithms is illustrated in application to inverse problems of potential theory and acoustic scattering. The volume can be read by anyone with a basic knowledge of functional analysis. The book will be of interest to applied mathematicians and specialists in mathematical modeling and inverse problems.

Elastic and Thermoelastic Problems in Nonlinear Dynamics of Structural Members

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Publisher : Springer Nature
ISBN 13 : 303037663X
Total Pages : 615 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Elastic and Thermoelastic Problems in Nonlinear Dynamics of Structural Members by : Jan Awrejcewicz

Download or read book Elastic and Thermoelastic Problems in Nonlinear Dynamics of Structural Members written by Jan Awrejcewicz and published by Springer Nature. This book was released on 2020-04-06 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "A unique feature of this book is the nice blend of engineering vividness and mathematical rigour. [...] The authors are to be congratulated for their valuable contribution to the literature in the area of theoretical thermoelasticity and vibration of plates." Journal of Sound and Vibration

Nonclassical Thermoelastic Problems in Nonlinear Dynamics of Shells

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Publisher : Springer Science & Business Media
ISBN 13 : 3642556779
Total Pages : 432 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Nonclassical Thermoelastic Problems in Nonlinear Dynamics of Shells by : Jan Awrejcewicz

Download or read book Nonclassical Thermoelastic Problems in Nonlinear Dynamics of Shells written by Jan Awrejcewicz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "A unique feature of this book is the nice blend of engineering vividness and mathematical rigour. [...] The authors are to be congratulated for their valuable contribution to the literature in the area of theoretical thermoelasticity and vibration of plates." Journal of Sound and Vibration

Generalized Quasilinearization for Nonlinear Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 1475728743
Total Pages : 287 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Generalized Quasilinearization for Nonlinear Problems by : V. Lakshmikantham

Download or read book Generalized Quasilinearization for Nonlinear Problems written by V. Lakshmikantham and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a systematic development of generalized quasilinearization indicating the notions and technical difficulties that are encountered in the unified approach. It enhances considerably the usefulness of the method of quasilinearization which has proved to be very effective in several areas of investigation and in applications. Further it includes the well-known monotone iterative technique as a special case. Audience: Researchers, industrial and engineering scientists.

Acta Numerica 2010: Volume 19

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Publisher : Cambridge University Press
ISBN 13 : 9780521192842
Total Pages : 614 pages
Book Rating : 4.1/5 (928 download)

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Book Synopsis Acta Numerica 2010: Volume 19 by : Arieh Iserles

Download or read book Acta Numerica 2010: Volume 19 written by Arieh Iserles and published by Cambridge University Press. This book was released on 2010-05-27 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: A high-impact, prestigious, annual publication containing invited surveys by subject leaders: essential reading for all practitioners and researchers.