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New Numerical Scheme With Newton Polynomial
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Book Synopsis New Numerical Scheme with Newton Polynomial by : Abdon Atangana
Download or read book New Numerical Scheme with Newton Polynomial written by Abdon Atangana and published by Academic Press. This book was released on 2021-06-10 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: New Numerical Scheme with Newton Polynomial: Theory, Methods, and Applications provides a detailed discussion on the underpinnings of the theory, methods and real-world applications of this numerical scheme. The book's authors explore how this efficient and accurate numerical scheme is useful for solving partial and ordinary differential equations, as well as systems of ordinary and partial differential equations with different types of integral operators. Content coverage includes the foundational layers of polynomial interpretation, Lagrange interpolation, and Newton interpolation, followed by new schemes for fractional calculus. Final sections include six chapters on the application of numerical scheme to a range of real-world applications. Over the last several decades, many techniques have been suggested to model real-world problems across science, technology and engineering. New analytical methods have been suggested in order to provide exact solutions to real-world problems. Many real-world problems, however, cannot be solved using analytical methods. To handle these problems, researchers need to rely on numerical methods, hence the release of this important resource on the topic at hand. Offers an overview of the field of numerical analysis and modeling real-world problems Provides a deeper understanding and comparison of Adams-Bashforth and Newton polynomial numerical methods Presents applications of local fractional calculus to a range of real-world problems Explores new scheme for fractal functions and investigates numerical scheme for partial differential equations with integer and non-integer order Includes codes and examples in MATLAB in all relevant chapters
Book Synopsis Mathematical Analysis of Groundwater Flow Models by : Abdon Atangana
Download or read book Mathematical Analysis of Groundwater Flow Models written by Abdon Atangana and published by CRC Press. This book was released on 2022-03-22 with total page 635 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides comprehensive analysis of a number of groundwater issues, ranging from flow to pollution problems. Several scenarios are considered throughout, including flow in leaky, unconfined, and confined geological formations, crossover flow behavior from confined to confined, to semi-confined to unconfined and groundwater pollution in dual media. Several mathematical concepts are employed to include into the mathematical models’ complexities of the geological formation, including classical differential operators, fractional derivatives and integral operators, fractal mapping, randomness, piecewise differential, and integral operators. It suggests several new and modified models to better predict anomalous behaviours of the flow and movement of pollution within complex geological formations. Numerous mathematical techniques are employed to ensure that all suggested models are well-suited, and different techniques including analytical methods and numerical methods are used to derive exact and numerical solutions of different groundwater models. Features: Includes modified numerical and analytical methods for solving new and modified models for groundwater flow and transport Presents new flow and transform models for groundwater transport in complex geological formations Examines fractal and crossover behaviors and their mathematical formulations Mathematical Analysis of Groundwater Flow Models serves as a valuable resource for graduate and PhD students as well as researchers working within the field of groundwater modeling.
Book Synopsis Numerical Methods for Roots of Polynomials - Part II by : J.M. McNamee
Download or read book Numerical Methods for Roots of Polynomials - Part II written by J.M. McNamee and published by Elsevier Inc. Chapters. This book was released on 2013-07-19 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fractional Stochastic Differential Equations by : Abdon Atangana
Download or read book Fractional Stochastic Differential Equations written by Abdon Atangana and published by Springer Nature. This book was released on 2022-04-22 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a thorough conversation on the underpinnings of Covid-19 spread modelling by using stochastics nonlocal differential and integral operators with singular and non-singular kernels. The book presents the dynamic of Covid-19 spread behaviour worldwide. It is noticed that the spread dynamic followed process with nonlocal behaviours which resemble power law, fading memory, crossover and stochastic behaviours. Fractional stochastic differential equations are therefore used to model spread behaviours in different parts of the worlds. The content coverage includes brief history of Covid-19 spread worldwide from December 2019 to September 2021, followed by statistical analysis of collected data for infected, death and recovery classes.
Book Synopsis The Numerical Solution of Systems of Polynomials Arising in Engineering and Science by : Andrew John Sommese
Download or read book The Numerical Solution of Systems of Polynomials Arising in Engineering and Science written by Andrew John Sommese and published by World Scientific. This book was released on 2005 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by the founders of the new and expanding field of numerical algebraic geometry, this is the first book that uses an algebraic-geometric approach to the numerical solution of polynomial systems and also the first one to treat numerical methods for finding positive dimensional solution sets. The text covers the full theory from methods developed for isolated solutions in the 1980's to the most recent research on positive dimensional sets.
Book Synopsis Mathematical Modeling, Computational Intelligence Techniques and Renewable Energy by : Manoj Sahni
Download or read book Mathematical Modeling, Computational Intelligence Techniques and Renewable Energy written by Manoj Sahni and published by Springer Nature. This book was released on 2023-05-08 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a collection of best selected research papers presented at the Third International Conference on “Mathematical Modeling, Computational Intelligence Techniques and Renewable Energy (MMCITRE 2022),” organized by the University of Technology Sydney, Australia, in association with the Department of Mathematics, Pandit Deendayal Energy University, India, and Forum for Interdisciplinary Mathematics. This book presents new knowledge and recent developments in all aspects of computational techniques, mathematical modeling, energy systems, applications of fuzzy sets and intelligent computing. The book provides innovative works of researchers, academicians and students in the area of interdisciplinary mathematics, statistics, computational intelligence and renewable energy.
Book Synopsis Numerical Methods for Roots of Polynomials by : J. M. McNamee
Download or read book Numerical Methods for Roots of Polynomials written by J. M. McNamee and published by . This book was released on 2007 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Methods for Roots of Polynomials - Part II by : J.M. McNamee
Download or read book Numerical Methods for Roots of Polynomials - Part II written by J.M. McNamee and published by Elsevier Inc. Chapters. This book was released on 2013-07-19 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: Whereas Newton’s method involves only the first derivative, methods discussed in this chapter involve the second or higher. The “classical” methods of this type (such as Halley’s, Euler’s, Hansen and Patrick’s, Ostrowski’s, Cauchy’s and Chebyshev’s) are all third order with three evaluations, so are slightly more efficient than Newton’s method. Convergence of some of these methods is discussed, as well as composite variations (some of which have fairly high efficiency). We describe special methods for multiple roots, simultaneous or interval methods, and acceleration techniques. We treat Laguerre’s method, which is known to be globally convergent for all-real-roots. The Cluster-Adapted Method is useful for multiple or near-multiple roots. Several composite methods are discussed, as well as methods using determinants or various types of interpolation, and Schroeder’s method.
Book Synopsis Numerical Recipes in C++ by : William H. Press
Download or read book Numerical Recipes in C++ written by William H. Press and published by . This book was released on 2002 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now the acclaimed Second Edition of Numerical Recipes is available in the C++ object-oriented programming language. Including and updating the full mathematical and explanatory contents of Numerical Recipes in C, this new version incorporates completely new C++ versions of the more than 300 Numerical Recipes routines that are widely recognized as the most accessible and practical basis for scientific computing. The product of a unique collaboration among four leading scientists in academic research and industry, Numerical Recipes is a complete text and reference book on scientific computing. In a self-contained manner it proceeds from mathematical and theoretical considerations to actual practical computer routines. Highlights include linear algebra, interpolation, special functions, random numbers, nonlinear sets of equations, optimization, eigensystems, Fourier methods and wavelets, statistical tests, ODEs and PDEs, integral equations and inverse theory. The authors approach to C++ preserves the efficient execution that C users expect, while simultaneously employing a clear, object-oriented interface to the routines. Tricks and tips for scientific computing in C++ are liberally included. The routines, in ANSI/ISO C++ source code, can thus be used with almost any existing C++ vector/matrix class library, according to user preference. A simple class library for stand-alone use is also included in the book. Both scientific programmers new to C++, and experienced C++ programmers who need access to the Numerical Recipes routines, can benefit from this important new version of an invaluable, classic text.
Book Synopsis Numerical Accuracies of Lagrange's and Newton Polynomial Interpolation by : Ram Bakhsha Srivastava
Download or read book Numerical Accuracies of Lagrange's and Newton Polynomial Interpolation written by Ram Bakhsha Srivastava and published by LAP Lambert Academic Publishing. This book was released on 2012 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is very useful for the students, researchers and teachers interested in numerical methods. Numerial accuracies of several functions have been evaluated with the help of computer program developed using polynomial interpolation with the help of Newton's Divided Difference and Langrange's Formulas. Comparison between these two foumulas has also been done. We have clearly indicated that which formula is better and how much.
Book Synopsis Numerical Analysis & Statistical Methods by :
Download or read book Numerical Analysis & Statistical Methods written by and published by Academic Publishers. This book was released on with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Methods for Fractal-Fractional Differential Equations and Engineering by : Muhammad Altaf Khan
Download or read book Numerical Methods for Fractal-Fractional Differential Equations and Engineering written by Muhammad Altaf Khan and published by CRC Press. This book was released on 2023-05-16 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about the simulation and modeling of novel chaotic systems within the frame of fractal-fractional operators. The methods used, their convergence, stability, and error analysis are given, and this is the first book to offer mathematical modeling and simulations of chaotic problems with a wide range of fractal-fractional operators, to find solutions. Numerical Methods for Fractal-Fractional Differential Equations and Engineering: Simulations and Modeling provides details for stability, convergence, and analysis along with numerical methods and their solution procedures for fractal-fractional operators. The book offers applications to chaotic problems and simulations using multiple fractal-fractional operators and concentrates on models that display chaos. The book details how these systems can be predictable for a while and then can appear to become random. Practitioners, engineers, researchers, and senior undergraduate and graduate students from mathematics and engineering disciplines will find this book of interest._
Book Synopsis Numerical Recipes 3rd Edition by : William H. Press
Download or read book Numerical Recipes 3rd Edition written by William H. Press and published by Cambridge University Press. This book was released on 2007-09-06 with total page 1195 pages. Available in PDF, EPUB and Kindle. Book excerpt: Do you want easy access to the latest methods in scientific computing? This greatly expanded third edition of Numerical Recipes has it, with wider coverage than ever before, many new, expanded and updated sections, and two completely new chapters. The executable C++ code, now printed in colour for easy reading, adopts an object-oriented style particularly suited to scientific applications. Co-authored by four leading scientists from academia and industry, Numerical Recipes starts with basic mathematics and computer science and proceeds to complete, working routines. The whole book is presented in the informal, easy-to-read style that made earlier editions so popular. Highlights of the new material include: a new chapter on classification and inference, Gaussian mixture models, HMMs, hierarchical clustering, and SVMs; a new chapter on computational geometry, covering KD trees, quad- and octrees, Delaunay triangulation, and algorithms for lines, polygons, triangles, and spheres; interior point methods for linear programming; MCMC; an expanded treatment of ODEs with completely new routines; and many new statistical distributions. For support, or to subscribe to an online version, please visit www.nr.com.
Book Synopsis Numerical Recipes with Source Code CD-ROM 3rd Edition by : William H. Press
Download or read book Numerical Recipes with Source Code CD-ROM 3rd Edition written by William H. Press and published by Cambridge University Press. This book was released on 2007-09 with total page 1272 pages. Available in PDF, EPUB and Kindle. Book excerpt: The complete Numerical Recipes 3rd edition book/CD bundle, with a hundred new routines, two new chapters and much more.
Book Synopsis Numerical Methods that Work by : Forman S. Acton
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:
Book Synopsis Numerical Methods (Pul) by : A A K Peters Lt
Download or read book Numerical Methods (Pul) written by A A K Peters Lt and published by Universities Press. This book was released on 2003 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development and analysis of constructive algorithms in numerical mathematics has become a focus of applied mathematics since the practical realization of these algorithms by electronic computers is no longer restricted to trivial examples. This book describes algorithmic solutions whose basic ideas are common to a variety of mathematical problems. By means of the methods presented, the reader will acquire the skills besides a fundamental knowledge to successfully work on related subjects in this field.
Book Synopsis Numerical Methods in Software and Analysis by : John R. Rice
Download or read book Numerical Methods in Software and Analysis written by John R. Rice and published by Elsevier. This book was released on 2014-05-19 with total page 737 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Methods, Software, and Analysis, Second Edition introduces science and engineering students to the methods, tools, and ideas of numerical computation. Introductory courses in numerical methods face a fundamental problem—there is too little time to learn too much. This text solves that problem by using high-quality mathematical software. In fact, the objective of the text is to present scientific problem solving using standard mathematical software. This book discusses numerous programs and software packages focusing on the IMSL library (including the PROTRAN system) and ACM Algorithms. The book is organized into three parts. Part I presents the background material. Part II presents the principal methods and ideas of numerical computation. Part III contains material about software engineering and performance evaluation. A uniform approach is used in each area of numerical computation. First, an intuitive development is made of the problems and the basic methods for their solution. Then, relevant mathematical software is reviewed and its use outlined. Many areas provide extensive examples and case studies. Finally, a deeper analysis of the methods is presented as in traditional numerical analysis texts. Emphasizes the use of high-quality mathematical software for numerical computation Extensive use of IMSL routines Features extensive examples and case studies
