Computing Methods
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Author | : Ivan Semenovich Berezin |
Publisher | : Pergamon |
Total Pages | : 704 |
Release | : 1965 |
Genre | : Computers |
ISBN | : |
Computing Methods, Volume I generalizes and details the methods involved in computer mathematics. The book has been developed in two volumes; Volume I contains Chapters 1 to 5, and Volume II encompasses Chapters 6 to 10.
Author | : S. P. Venkateshan |
Publisher | : Springer Nature |
Total Pages | : 824 |
Release | : 2023-05-31 |
Genre | : Technology & Engineering |
ISBN | : 3031082265 |
The book is designed to serve as a textbook for courses offered to graduate and upper-undergraduate students enrolled in mechanical engineering. The book attempts to make students with mathematical backgrounds comfortable with numerical methods. The book also serves as a handy reference for practicing engineers who are interested in applications. The book is written in an easy-to-understand manner, with the essence of each numerical method clearly stated. This makes it easy for professional engineers, students, and early career researchers to follow the material presented in the book. The structure of the book has been modeled accordingly. It is divided into four modules: i) solution of a system of equations and eigenvalues which includes linear equations, determining eigenvalues, and solution of nonlinear equations; ii) function approximations: interpolation, data fit, numerical differentiation, and numerical integration; iii) solution of ordinary differential equations—initial value problems and boundary value problems; and iv) solution of partial differential equations—parabolic, elliptic, and hyperbolic PDEs. Each section of the book includes exercises to reinforce the concepts, and problems have been added at the end of each chapter. Exercise problems may be solved by using computational tools such as scientific calculators, spreadsheet programs, and MATLAB codes. The detailed coverage and pedagogical tools make this an ideal textbook for students, early career researchers, and professionals.
Author | : I. S. Berezin |
Publisher | : Elsevier |
Total Pages | : 499 |
Release | : 2014-05-16 |
Genre | : Technology & Engineering |
ISBN | : 1483180581 |
Computing Methods, Volume I generalizes and details the methods involved in computer mathematics. The book has been developed in two volumes; Volume I contains Chapters 1 to 5, and Volume II encompasses Chapters 6 to 10. The first chapter in this volume deals with operation on approximate quantities, while the second chapter talks about the theory of interpolation and certain applications. Chapter 3 covers numerical differentiation and integration. The last two chapters discuss approximation and least square approximations. The text will be of great interest to college students majoring in mathematics or computer science.
Author | : Herbert Koenig |
Publisher | : CRC Press |
Total Pages | : 324 |
Release | : 1998-08-01 |
Genre | : Mathematics |
ISBN | : 9781560324683 |
This book is an introduction to computational mechanics, proceeding from basic computational tools to advanced computational procedures and applications. Emphasis is placed on the numerical techniques and how they form the bases for algorithms. Numerous worked examples in structural mechanics, heat transfer, fluid flow, and biomechanics are given with the numerical codes to illustrate how the methods are applied. A concluding section addresses advanced applications in such areas as finite volume methods and biomechanics.
Author | : Nadia Nedjah |
Publisher | : Springer Science & Business Media |
Total Pages | : 166 |
Release | : 2011-05-25 |
Genre | : Computers |
ISBN | : 3642209572 |
The design of most modern engineering systems entails the consideration of a good trade-off between the several targets requirements to be satisfied along the system life such as high reliability, low redundancy and low operational costs. These aspects are often in conflict with one another, hence a compromise solution has to be sought. Innovative computing techniques, such as genetic algorithms, swarm intelligence, differential evolution, multi-objective evolutionary optimization, just to name few, are of great help in founding effective and reliable solution for many engineering problems. Each chapter of this book attempts to using an innovative computing technique to elegantly solve a different engineering problem.
Author | : Tapan Sengupta |
Publisher | : Cambridge University Press |
Total Pages | : 589 |
Release | : 2013-05-16 |
Genre | : Computers |
ISBN | : 1107023637 |
""Presents methods necessary for high accuracy computing of fluid flow and wave phenomena in single source format using unified spectral theory of computing"--Provided by publisher"--
Author | : Curtis R. Vogel |
Publisher | : SIAM |
Total Pages | : 195 |
Release | : 2002-01-01 |
Genre | : Mathematics |
ISBN | : 0898717574 |
Provides a basic understanding of both the underlying mathematics and the computational methods used to solve inverse problems.
Author | : A. V. Balakrishnan |
Publisher | : Academic Press |
Total Pages | : 338 |
Release | : 2014-05-12 |
Genre | : Mathematics |
ISBN | : 1483223159 |
Computing Methods in Optimization Problems deals with hybrid computing methods and optimization techniques using computers. One paper discusses different numerical approaches to optimizing trajectories, including the gradient method, the second variation method, and a generalized Newton-Raphson method. The paper cites the advantages and disadvantages of each method, and compares the second variation method (a direct method) with the generalized Newton-Raphson method (an indirect method). An example problem illustrates the application of the three methods in minimizing the transfer time of a low-thrust ion rocket between the orbits of Earth and Mars. Another paper discusses an iterative process for steepest-ascent optimization of orbit transfer trajectories to minimize storage requirements such as in reduced memory space utilized in guidance computers. By eliminating state variable storage and control schedule storage, the investigator can achieve reduced memory requirements. Other papers discuss dynamic programming, invariant imbedding, quasilinearization, Hilbert space, and the computational aspects of a time-optimal control problem. The collection is suitable for computer programmers, engineers, designers of industrial processes, and researchers involved in aviation or control systems technology.
Author | : Narendra Chauhan |
Publisher | : Springer |
Total Pages | : 119 |
Release | : 2012-02-06 |
Genre | : Technology & Engineering |
ISBN | : 3642255639 |
The growing commercial market of Microwave/ Millimeter wave industry over the past decade has led to the explosion of interests and opportunities for the design and development of microwave components.The design of most microwave components requires the use of commercially available electromagnetic (EM) simulation tools for their analysis. In the design process, the simulations are carried out by varying the design parameters until the desired response is obtained. The optimization of design parameters by manual searching is a cumbersome and time consuming process. Soft computing methods such as Genetic Algorithm (GA), Artificial Neural Network (ANN) and Fuzzy Logic (FL) have been widely used by EM researchers for microwave design since last decade. The aim of these methods is to tolerate imprecision, uncertainty, and approximation to achieve robust and low cost solution in a small time frame. Modeling and optimization are essential parts and powerful tools for the microwave/millimeter wave design. This book deals with the development and use of soft computing methods for tackling challenging design problems in the microwave/millimeter wave domain. The aim in the development of these methods is to obtain the design in small time frame while improving the accuracy of the design for a wide range of applications. To achieve this goal, a few diverse design problems of microwave field, representing varied challenges in the design, such as different microstrip antennas, microwave filters, a microstrip-via and also some critical high power components such as nonlinear tapers and RF-windows are considered as case-study design problems. Different design methodologies are developed for these applications. The presents soft computing methods, their review for microwave/millimeter wave design problems and specific case-study problems to infuse better insight and understanding of the subject.
Author | : G. Arienti |
Publisher | : Springer Science & Business Media |
Total Pages | : 200 |
Release | : 2013-03-09 |
Genre | : Business & Economics |
ISBN | : 3642859747 |