Numerical Integration 1
Download Numerical Integration 1 full books in PDF, epub, and Kindle. Read online free Numerical Integration 1 ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author | : Philip J. Davis |
Publisher | : Academic Press |
Total Pages | : 628 |
Release | : 2014-05-10 |
Genre | : Mathematics |
ISBN | : 1483264289 |
Methods of Numerical Integration, Second Edition describes the theoretical and practical aspects of major methods of numerical integration. Numerical integration is the study of how the numerical value of an integral can be found. This book contains six chapters and begins with a discussion of the basic principles and limitations of numerical integration. The succeeding chapters present the approximate integration rules and formulas over finite and infinite intervals. These topics are followed by a review of error analysis and estimation, as well as the application of functional analysis to numerical integration. A chapter describes the approximate integration in two or more dimensions. The final chapter looks into the goals and processes of automatic integration, with particular attention to the application of Tschebyscheff polynomials. This book will be of great value to theoreticians and computer programmers.
Author | : Edwin Herman |
Publisher | : |
Total Pages | : 0 |
Release | : 2016-03-30 |
Genre | : Calculus |
ISBN | : 9781947172838 |
Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.
Author | : W. F. Eberlein |
Publisher | : |
Total Pages | : 18 |
Release | : 1954 |
Genre | : Numerical integration |
ISBN | : |
Author | : Gwynne Evans |
Publisher | : |
Total Pages | : 350 |
Release | : 1993-08-24 |
Genre | : Mathematics |
ISBN | : |
Offers the quadrature user a selection of the most effective algorithms in each of the main areas of the subject. Topics range from Simpson's rule and Gaussian quadrature to recent research on irregular oscillatory and singular quadrature. A full set of test examples is given and implemented for each method discussed, demonstrating its practical limitations.
Author | : Gregory Hartman |
Publisher | : |
Total Pages | : 0 |
Release | : 2015 |
Genre | : Calculus |
ISBN | : 9781514225158 |
APEX Calculus is a calculus textbook written for traditional college/university calculus courses. It has the look and feel of the calculus book you likely use right now (Stewart, Thomas & Finney, etc.). The explanations of new concepts is clear, written for someone who does not yet know calculus. Each section ends with an exercise set with ample problems to practice & test skills (odd answers are in the back).
Author | : Forman S. Acton |
Publisher | : American Mathematical Soc. |
Total Pages | : 549 |
Release | : 2020-07-31 |
Genre | : Mathematics |
ISBN | : 147045727X |
Author | : Germund Dahlquist |
Publisher | : SIAM |
Total Pages | : 741 |
Release | : 2008-09-04 |
Genre | : Mathematics |
ISBN | : 0898716446 |
This work addresses the increasingly important role of numerical methods in science and engineering. It combines traditional and well-developed topics with other material such as interval arithmetic, elementary functions, operator series, convergence acceleration, and continued fractions.
Author | : Ernst Hairer |
Publisher | : Springer Science & Business Media |
Total Pages | : 526 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 3662050188 |
This book deals with numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions. A complete self-contained theory of symplectic and symmetric methods, which include Runge-Kutta, composition, splitting, multistep and various specially designed integrators, is presented and their construction and practical merits are discussed. The long-time behaviour of the numerical solutions is studied using a backward error analysis (modified equations) combined with KAM theory. The book is illustrated by numerous figures, treats applications from physics and astronomy, and contains many numerical experiments and comparisons of different approaches.
Author | : Philip J. Davis |
Publisher | : |
Total Pages | : 0 |
Release | : 1960 |
Genre | : Numerical integration |
ISBN | : |
Author | : Helmut Brass |
Publisher | : American Mathematical Soc. |
Total Pages | : 376 |
Release | : 2011-10-12 |
Genre | : Mathematics |
ISBN | : 0821853619 |
Every book on numerical analysis covers methods for the approximate calculation of definite integrals. The authors of this book provide a complementary treatment of the topic by presenting a coherent theory of quadrature methods that encompasses many deep and elegant results as well as a large number of interesting (solved and open) problems. The inclusion of the word ``theory'' in the title highlights the authors' emphasis on analytical questions, such as the existence and structure of quadrature methods and selection criteria based on strict error bounds for quadrature rules. Systematic analyses of this kind rely on certain properties of the integrand, called ``co-observations,'' which form the central organizing principle for the authors' theory, and distinguish their book from other texts on numerical integration. A wide variety of co-observations are examined, as a detailed understanding of these is useful for solving problems in practical contexts. While quadrature theory is often viewed as a branch of numerical analysis, its influence extends much further. It has been the starting point of many far-reaching generalizations in various directions, as well as a testing ground for new ideas and concepts. The material in this book should be accessible to anyone who has taken the standard undergraduate courses in linear algebra, advanced calculus, and real analysis.