Methods of Numerical Integration
Methods of Numerical Integration

Author: Philip J. Davis

Publisher: Academic Press

Published: 2014-05-10

Total Pages: 628

ISBN-13: 1483264289

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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.

Geometric Numerical Integration
Geometric Numerical Integration

Author: Ernst Hairer

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 526

ISBN-13: 3662050188

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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.

Numerical Methods in Engineering with Python 3
Numerical Methods in Engineering with Python 3

Author: Jaan Kiusalaas

Publisher: Cambridge University Press

Published: 2013-01-21

Total Pages: 437

ISBN-13: 1107033853

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Provides an introduction to numerical methods for students in engineering. It uses Python 3, an easy-to-use, high-level programming language.

Calculus Volume 3
Calculus Volume 3

Author: Edwin Herman

Publisher:

Published: 2016-03-30

Total Pages: 0

ISBN-13: 9781947172838

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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.

Practical Numerical Integration
Practical Numerical Integration

Author: Gwynne Evans

Publisher:

Published: 1993-08-24

Total Pages: 350

ISBN-13:

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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.

Methods of Numerical Integration
Methods of Numerical Integration

Author: Philip J. Davis

Publisher: Courier Corporation

Published: 2007-01-01

Total Pages: 626

ISBN-13: 0486453391

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Useful to programmers and stimulating for theoreticians, this text offers a balanced presentation accessible to those with a background in calculus. Topics include approximate integration over finite and infinite intervals, error analysis, approximate integration in two or more dimensions, and automatic integration. Includes five helpful appendixes. 1984 edition.

Numerical Integration of Stochastic Differential Equations
Numerical Integration of Stochastic Differential Equations

Author: G.N. Milstein

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 178

ISBN-13: 9401584559

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This book is devoted to mean-square and weak approximations of solutions of stochastic differential equations (SDE). These approximations represent two fundamental aspects in the contemporary theory of SDE. Firstly, the construction of numerical methods for such systems is important as the solutions provided serve as characteristics for a number of mathematical physics problems. Secondly, the employment of probability representations together with a Monte Carlo method allows us to reduce the solution of complex multidimensional problems of mathematical physics to the integration of stochastic equations. Along with a general theory of numerical integrations of such systems, both in the mean-square and the weak sense, a number of concrete and sufficiently constructive numerical schemes are considered. Various applications and particularly the approximate calculation of Wiener integrals are also dealt with. This book is of interest to graduate students in the mathematical, physical and engineering sciences, and to specialists whose work involves differential equations, mathematical physics, numerical mathematics, the theory of random processes, estimation and control theory.

APEX Calculus
APEX Calculus

Author: Gregory Hartman

Publisher:

Published: 2015

Total Pages: 0

ISBN-13: 9781514225158

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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).