Application of Spline Interpolation Methods to Engineering Problems

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Publisher :
ISBN 13 :
Total Pages : 62 pages
Book Rating : 4.:/5 (359 download)

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Book Synopsis Application of Spline Interpolation Methods to Engineering Problems by : James B. Cheek

Download or read book Application of Spline Interpolation Methods to Engineering Problems written by James B. Cheek and published by . This book was released on 1971 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper was prepared to familiarize practicing scientists and engineers with the cubic spline interpolation technique as a possible tool in curve fitting for computer programs for which more commonly used techniques may be unsuitable or of limited value. The spline technique is compared with more common methods, specifically piecewise linear and polynomial, and examples of applications of the technique to engineering problems are presented.

Computational Mechanics in Structural Engineering

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Publisher : CRC Press
ISBN 13 : 1482296691
Total Pages : 481 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Computational Mechanics in Structural Engineering by : F.Y. Cheng

Download or read book Computational Mechanics in Structural Engineering written by F.Y. Cheng and published by CRC Press. This book was released on 2003-10-04 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of Sino-US Joint Symposium/Workshop on Recent Developments and Future Trends of Computational Mechanics in Structural Engineering, Beijing, China, September 24-28 1991

Spline Functions: Basic Theory

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Publisher : Cambridge University Press
ISBN 13 : 1139463438
Total Pages : 524 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Spline Functions: Basic Theory by : Larry Schumaker

Download or read book Spline Functions: Basic Theory written by Larry Schumaker and published by Cambridge University Press. This book was released on 2007-08-16 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic work continues to offer a comprehensive treatment of the theory of univariate and tensor-product splines. It will be of interest to researchers and students working in applied analysis, numerical analysis, computer science, and engineering. The material covered provides the reader with the necessary tools for understanding the many applications of splines in such diverse areas as approximation theory, computer-aided geometric design, curve and surface design and fitting, image processing, numerical solution of differential equations, and increasingly in business and the biosciences. This new edition includes a supplement outlining some of the major advances in the theory since 1981, and some 250 new references. It can be used as the main or supplementary text for courses in splines, approximation theory or numerical analysis.

Splines and Variational Methods

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Publisher : Courier Corporation
ISBN 13 : 0486469026
Total Pages : 338 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Splines and Variational Methods by : P. M. Prenter

Download or read book Splines and Variational Methods written by P. M. Prenter and published by Courier Corporation. This book was released on 2008-01-01 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the clearest available introductions to variational methods, this text requires only a minimal background in linear algebra and analysis. It explains the application of theoretic notions to the kinds of physical problems that engineers regularly encounter. Many helpful definitions, examples, and exercises appear throughout the book. 1975 edition.

Multivariate Spline Functions and Their Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 9401723788
Total Pages : 522 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Multivariate Spline Functions and Their Applications by : Ren-Hong Wang

Download or read book Multivariate Spline Functions and Their Applications written by Ren-Hong Wang and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the algebraic geometric method of studying multivariate splines. Topics treated include: the theory of multivariate spline spaces, higher-dimensional splines, rational splines, piecewise algebraic variety (including piecewise algebraic curves and surfaces) and applications in the finite element method and computer-aided geometric design. Many new results are given. Audience: This volume will be of interest to researchers and graduate students whose work involves approximations and expansions, numerical analysis, computational geometry, image processing and CAD/CAM.

The Theory of Splines and Their Applications

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Publisher : Elsevier
ISBN 13 : 1483222950
Total Pages : 297 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis The Theory of Splines and Their Applications by : J. H. Ahlberg

Download or read book The Theory of Splines and Their Applications written by J. H. Ahlberg and published by Elsevier. This book was released on 2016-06-03 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Theory of Splines and Their Applications discusses spline theory, the theory of cubic splines, polynomial splines of higher degree, generalized splines, doubly cubic splines, and two-dimensional generalized splines. The book explains the equations of the spline, procedures for applications of the spline, convergence properties, equal-interval splines, and special formulas for numerical differentiation or integration. The text explores the intrinsic properties of cubic splines including the Hilbert space interpretation, transformations defined by a mesh, and some connections with space technology concerning the payload of a rocket. The book also discusses the theory of polynomial splines of odd degree which can be approached through algebraically (which depends primarily on the examination in detail of the linear system of equations defining the spline). The theory can also be approached intrinsically (which exploits the consequences of basic integral relations existing between functions and approximating spline functions). The text also considers the second integral relation, raising the order of convergence, and the limits on the order of convergence. The book will prove useful for mathematicians, physicist, engineers, or academicians in the field of technology and applied mathematics.

Applications of B-spline Approximation to Geometric

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Publisher :
ISBN 13 :
Total Pages : 168 pages
Book Rating : 4.:/5 (476 download)

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Book Synopsis Applications of B-spline Approximation to Geometric by : Richard F. Riesenfeld

Download or read book Applications of B-spline Approximation to Geometric written by Richard F. Riesenfeld and published by . This book was released on 1985 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Spline Functions on Triangulations

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Publisher : Cambridge University Press
ISBN 13 : 0521875927
Total Pages : 28 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Spline Functions on Triangulations by : Ming-Jun Lai

Download or read book Spline Functions on Triangulations written by Ming-Jun Lai and published by Cambridge University Press. This book was released on 2007-04-19 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive graduate text offering a detailed mathematical treatment of polynomial splines on triangulations.

Advances in Architectural Geometry 2014

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Publisher : Springer
ISBN 13 : 3319114182
Total Pages : 379 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Advances in Architectural Geometry 2014 by : Philippe Block

Download or read book Advances in Architectural Geometry 2014 written by Philippe Block and published by Springer. This book was released on 2014-12-26 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains 24 technical papers presented at the fourth edition of the Advances in Architectural Geometry conference, AAG 2014, held in London, England, September 2014. It offers engineers, mathematicians, designers, and contractors insight into the efficient design, analysis, and manufacture of complex shapes, which will help open up new horizons for architecture. The book examines geometric aspects involved in architectural design, ranging from initial conception to final fabrication. It focuses on four key topics: applied geometry, architecture, computational design, and also practice in the form of case studies. In addition, the book also features algorithms, proposed implementation, experimental results, and illustrations. Overall, the book presents both theoretical and practical work linked to new geometrical developments in architecture. It gathers the diverse components of the contemporary architectural tendencies that push the building envelope towards free form in order to respond to multiple current design challenges. With its introduction of novel computational algorithms and tools, this book will prove an ideal resource to both newcomers to the field as well as advanced practitioners.

Spline Models for Observational Data

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Publisher : SIAM
ISBN 13 : 0898712440
Total Pages : 174 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Spline Models for Observational Data by : Grace Wahba

Download or read book Spline Models for Observational Data written by Grace Wahba and published by SIAM. This book was released on 1990-09-01 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book serves well as an introduction into the more theoretical aspects of the use of spline models. It develops a theory and practice for the estimation of functions from noisy data on functionals. The simplest example is the estimation of a smooth curve, given noisy observations on a finite number of its values. Convergence properties, data based smoothing parameter selection, confidence intervals, and numerical methods are established which are appropriate to a number of problems within this framework. Methods for including side conditions and other prior information in solving ill posed inverse problems are provided. Data which involves samples of random variables with Gaussian, Poisson, binomial, and other distributions are treated in a unified optimization context. Experimental design questions, i.e., which functionals should be observed, are studied in a general context. Extensions to distributed parameter system identification problems are made by considering implicitly defined functionals.

Approximation and Modeling with B-Splines

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Publisher : SIAM
ISBN 13 : 1611972949
Total Pages : 228 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Approximation and Modeling with B-Splines by : Klaus Hollig

Download or read book Approximation and Modeling with B-Splines written by Klaus Hollig and published by SIAM. This book was released on 2015-07-01 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: B-splines are fundamental to approximation and data fitting, geometric modeling, automated manufacturing, computer graphics, and numerical simulation. With an emphasis on key results and methods that are most widely used in practice, this textbook provides a unified introduction to the basic components of B-spline theory: approximation methods (mathematics), modeling techniques (engineering), and geometric algorithms (computer science). A supplemental Web site will provide a collection of problems, some with solutions, slides for use in lectures, and programs with demos.

Finite Element Methods with B-splines

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Publisher : SIAM
ISBN 13 : 9780898717532
Total Pages : 155 pages
Book Rating : 4.7/5 (175 download)

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Book Synopsis Finite Element Methods with B-splines by : Klaus Hollig

Download or read book Finite Element Methods with B-splines written by Klaus Hollig and published by SIAM. This book was released on 2003-01-01 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite Element Methods with B-Splines describes new weighted approximation techniques, combining the computational advantages of B-splines and standard finite elements. In particular, no grid generation is necessary, which eliminates a difficult and often time-consuming preprocessing step. The meshless methods are very efficient and yield highly accurate solutions with relatively few parameters. This is illustrated for typical boundary value problems in fluid flow, heat conduction, and elasticity. Topics discussed by the author include basic finite element theory, algorithms for B-splines, weighted bases, stability and error estimates, multigrid techniques, applications, and numerical examples.

Issues in Structural and Materials Engineering: 2011 Edition

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Publisher : ScholarlyEditions
ISBN 13 : 1464963975
Total Pages : 1922 pages
Book Rating : 4.4/5 (649 download)

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Book Synopsis Issues in Structural and Materials Engineering: 2011 Edition by :

Download or read book Issues in Structural and Materials Engineering: 2011 Edition written by and published by ScholarlyEditions. This book was released on 2012-01-09 with total page 1922 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues in Structural and Materials Engineering: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Structural and Materials Engineering. The editors have built Issues in Structural and Materials Engineering: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Structural and Materials Engineering 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 Structural and Materials Engineering: 2011 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/.

Advance Numerical Techniques to Solve Linear and Nonlinear Differential Equations

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Publisher : CRC Press
ISBN 13 : 1003811000
Total Pages : 171 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Advance Numerical Techniques to Solve Linear and Nonlinear Differential Equations by : Geeta Arora

Download or read book Advance Numerical Techniques to Solve Linear and Nonlinear Differential Equations written by Geeta Arora and published by CRC Press. This book was released on 2024-01-23 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: Real-world issues can be translated into the language and concepts of mathematics with the use of mathematical models. Models guided by differential equations with intuitive solutions can be used throughout engineering and the sciences. Almost any changing system may be described by a set of differential equations. They may be found just about anywhere you look in fields including physics, engineering, economics, sociology, biology, business, healthcare, etc. The nature of these equations has been investigated by several mathematicians over the course of hundreds of years and, consequently, numerous effective methods for solving them have been created. It is often impractical to find a purely analytical solution to a system described by a differential equation because either the system itself is too complex or the system being described is too vast. Numerical approaches and computer simulations are especially helpful in such systems. The content provided in this book involves real-world examples, explores research challenges in numerical treatment, and demonstrates how to create new numerical methods for resolving problems. Theories and practical applications in the sciences and engineering are also discussed. Students of engineering and applied mathematics, as well as researchers and engineers who use computers to solve problems numerically or oversee those who do, will find this book focusing on advance numerical techniques to solve linear and nonlinear differential equations useful.

Applications of the Finite Element Method in Geotechnical Engineering

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Publisher :
ISBN 13 :
Total Pages : 528 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Applications of the Finite Element Method in Geotechnical Engineering by : Chandrakant S. Desai

Download or read book Applications of the Finite Element Method in Geotechnical Engineering written by Chandrakant S. Desai and published by . This book was released on 1972 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Issues in Biomedical Engineering Research and Application: 2011 Edition

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Publisher : ScholarlyEditions
ISBN 13 : 1464964548
Total Pages : 1453 pages
Book Rating : 4.4/5 (649 download)

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Book Synopsis Issues in Biomedical Engineering Research and Application: 2011 Edition by :

Download or read book Issues in Biomedical Engineering Research and Application: 2011 Edition written by and published by ScholarlyEditions. This book was released on 2012-01-09 with total page 1453 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues in Biomedical Engineering Research and Application: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Biomedical Engineering Research and Application. The editors have built Issues in Biomedical Engineering Research and Application: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Biomedical Engineering Research and Application 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 Biomedical Engineering Research and Application: 2011 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/.

Journal of Engineering Mechanics

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Publisher :
ISBN 13 :
Total Pages : 396 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Journal of Engineering Mechanics by :

Download or read book Journal of Engineering Mechanics written by and published by . This book was released on 2003 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: