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Author :
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ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.:/5 (317 download)
Download or read book Numerical Solutions of Nonlinear STIFF Initial Value Problems by Perturbed Functional Iterations written by and published by . This book was released on 1982 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Suhrit Dey
Publisher : CRC Press
ISBN 13 : 1040014933
Total Pages : 327 pages
Book Rating : 4.0/5 (4 download)
Download or read book Perturbed Functional Iterations written by Suhrit Dey and published by CRC Press. This book was released on 2024-06-28 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: Perturbed functional iterations (PFI) is a large‐scale nonlinear system solver. Nature is abundant with events simulated mathematically by nonlinear systems of equations and inequalities. These we call nonlinear models. Often, they are ill‐conditioned, meaning small changes in data causing huge changes in the output. PFI, previously called the perturbed iterative scheme (PIS), is a numerical method to solve nonlinear systems of equations in multidimensional space. Computational results demonstrate that this numerical method has some unique features, which have made it more practical for applications in engineering and applied mathematics. This book will guide readers in the proper use of PFI, both in theoretical and practical settings. Features: Ideal resource for postgraduates and professional researchers in science and engineering working in nonlinear systems Algorithmically simple enough for engineers and applied scientists to write their own software based on the contents
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ISBN 13 :
Total Pages : 500 pages
Book Rating : 4.X/5 (4 download)
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Simeon Ola Fatunla
Publisher :
ISBN 13 :
Total Pages : 320 pages
Book Rating : 4.3/5 (91 download)
Download or read book Numerical Methods for Initial Value Problems in Ordinary Differential Equations written by Simeon Ola Fatunla and published by . This book was released on 1988 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. Vignes
Publisher : Elsevier
ISBN 13 : 1483295672
Total Pages : 442 pages
Book Rating : 4.4/5 (832 download)
Download or read book Numerical Mathematics and Applications written by J. Vignes and published by Elsevier. This book was released on 2014-06-28 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Mathematics and Applications
Author : Kendall Atkinson
Publisher : John Wiley & Sons
ISBN 13 : 1118164520
Total Pages : 272 pages
Book Rating : 4.1/5 (181 download)
Download or read book Numerical Solution of Ordinary Differential Equations written by Kendall Atkinson and published by John Wiley & Sons. This book was released on 2011-10-24 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise introduction to numerical methodsand the mathematicalframework neededto understand their performance Numerical Solution of Ordinary Differential Equationspresents a complete and easy-to-follow introduction to classicaltopics in the numerical solution of ordinary differentialequations. The book's approach not only explains the presentedmathematics, but also helps readers understand how these numericalmethods are used to solve real-world problems. Unifying perspectives are provided throughout the text, bringingtogether and categorizing different types of problems in order tohelp readers comprehend the applications of ordinary differentialequations. In addition, the authors' collective academic experienceensures a coherent and accessible discussion of key topics,including: Euler's method Taylor and Runge-Kutta methods General error analysis for multi-step methods Stiff differential equations Differential algebraic equations Two-point boundary value problems Volterra integral equations Each chapter features problem sets that enable readers to testand build their knowledge of the presented methods, and a relatedWeb site features MATLAB® programs that facilitate theexploration of numerical methods in greater depth. Detailedreferences outline additional literature on both analytical andnumerical aspects of ordinary differential equations for furtherexploration of individual topics. Numerical Solution of Ordinary Differential Equations isan excellent textbook for courses on the numerical solution ofdifferential equations at the upper-undergraduate and beginninggraduate levels. It also serves as a valuable reference forresearchers in the fields of mathematics and engineering.
Author : Xavier J.R. Avula
Publisher : Elsevier
ISBN 13 : 1483190595
Total Pages : 1023 pages
Book Rating : 4.4/5 (831 download)
Download or read book Mathematical Modelling in Science and Technology written by Xavier J.R. Avula and published by Elsevier. This book was released on 2014-05-09 with total page 1023 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Modelling in Science and Technology: The Fourth International Conference covers the proceedings of the Fourth International Conference by the same title, held at the Swiss Federal Institute of Technology, Zurich, Switzerland on August 15-17, 1983. Mathematical modeling is a powerful tool to solve many complex problems presented by scientific and technological developments. This book is organized into 20 parts encompassing 180 chapters. The first parts present the basic principles, methodology, systems theory, parameter estimation, system identification, and optimization of mathematical modeling. The succeeding parts discuss the features of stochastic and numerical modeling and simulation languages. Considerable parts deal with the application areas of mathematical modeling, such as in chemical engineering, solid and fluid mechanics, water resources, medicine, economics, transportation, and industry. The last parts tackle the application of mathematical modeling in student management and other academic cases. This book will prove useful to researchers in various science and technology fields.
Author : United States. National Aeronautics and Space Administration
Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.:/5 (319 download)
Download or read book NASA Technical Paper written by United States. National Aeronautics and Space Administration and published by . This book was released on 1977 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ernst Hairer
Publisher : Springer Science & Business Media
ISBN 13 : 3662099470
Total Pages : 615 pages
Book Rating : 4.6/5 (62 download)
Download or read book Solving Ordinary Differential Equations II written by Ernst Hairer and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Whatever regrets may be, we have done our best." (Sir Ernest Shackleton, turning back on 9 January 1909 at 88°23' South.) Brahms struggled for 20 years to write his first symphony. Compared to this, the 10 years we have been working on these two volumes may even appear short. This second volume treats stiff differential equations and differential alge braic equations. It contains three chapters: Chapter IV on one-step (Runge Kutta) methods for stiff problems, Chapter Von multistep methods for stiff problems, and Chapter VI on singular perturbation and differential-algebraic equations. Each chapter is divided into sections. Usually the first sections of a chapter are of an introductory nature, explain numerical phenomena and exhibit numerical results. Investigations of a more theoretieal nature are presented in the later sections of each chapter. As in Volume I, the formulas, theorems, tables and figures are numbered consecutively in each section and indicate, in addition, the section num ber. In cross references to other chapters the (latin) chapter number is put first. References to the bibliography are again by "author" plus "year" in parentheses. The bibliography again contains only those papers which are discussed in the text and is in no way meant to be complete.
Author : Ülo Lepik
Publisher : Springer Science & Business Media
ISBN 13 : 3319042955
Total Pages : 209 pages
Book Rating : 4.3/5 (19 download)
Download or read book Haar Wavelets written by Ülo Lepik and published by Springer Science & Business Media. This book was released on 2014-01-09 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book to present a systematic review of applications of the Haar wavelet method for solving Calculus and Structural Mechanics problems. Haar wavelet-based solutions for a wide range of problems, such as various differential and integral equations, fractional equations, optimal control theory, buckling, bending and vibrations of elastic beams are considered. Numerical examples demonstrating the efficiency and accuracy of the Haar method are provided for all solutions.
Author : Eihab B. M. Bashier
Publisher : CRC Press
ISBN 13 : 0429666829
Total Pages : 349 pages
Book Rating : 4.4/5 (296 download)
Download or read book Practical Numerical and Scientific Computing with MATLAB® and Python written by Eihab B. M. Bashier and published by CRC Press. This book was released on 2020-03-18 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: Practical Numerical and Scientific Computing with MATLAB® and Python concentrates on the practical aspects of numerical analysis and linear and non-linear programming. It discusses the methods for solving different types of mathematical problems using MATLAB and Python. Although the book focuses on the approximation problem rather than on error analysis of mathematical problems, it provides practical ways to calculate errors. The book is divided into three parts, covering topics in numerical linear algebra, methods of interpolation, numerical differentiation and integration, solutions of differential equations, linear and non-linear programming problems, and optimal control problems. This book has the following advantages: It adopts the programming languages, MATLAB and Python, which are widely used among academics, scientists, and engineers, for ease of use and contain many libraries covering many scientific and engineering fields. It contains topics that are rarely found in other numerical analysis books, such as ill-conditioned linear systems and methods of regularization to stabilize their solutions, nonstandard finite differences methods for solutions of ordinary differential equations, and the computations of the optimal controls. It provides a practical explanation of how to apply these topics using MATLAB and Python. It discusses software libraries to solve mathematical problems, such as software Gekko, pulp, and pyomo. These libraries use Python for solutions to differential equations and static and dynamic optimization problems. Most programs in the book can be applied in versions prior to MATLAB 2017b and Python 3.7.4 without the need to modify these programs. This book is aimed at newcomers and middle-level students, as well as members of the scientific community who are interested in solving math problems using MATLAB or Python.
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ISBN 13 :
Total Pages : 980 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2006 with total page 980 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : O. Axelsson
Publisher : Elsevier
ISBN 13 : 0080871585
Total Pages : 399 pages
Book Rating : 4.0/5 (88 download)
Download or read book Analytical and Numerical Approaches to Asymptotic Problems in Analysis written by O. Axelsson and published by Elsevier. This book was released on 2010-07-03 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analytical and Numerical Approaches to Asymptotic Problems in Analysis
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ISBN 13 :
Total Pages : 568 pages
Book Rating : 4.:/5 (26 download)
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1973 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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ISBN 13 :
Total Pages : 866 pages
Book Rating : 4.E/5 ( download)
Download or read book Technical Abstract Bulletin written by and published by . This book was released on 1967 with total page 866 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Forman S. Acton
Publisher : American Mathematical Soc.
ISBN 13 : 147045727X
Total Pages : 549 pages
Book Rating : 4.4/5 (74 download)
Download or read book Numerical Methods that Work written by Forman S. Acton and published by American Mathematical Soc.. This book was released on 2020-07-31 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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ISBN 13 :
Total Pages : 12 pages
Book Rating : 4.:/5 (317 download)
Download or read book Numerical Modeling of D-mappings with Applications to Chemical Kinetics written by and published by . This book was released on 1984 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:
