Computing Methods

Computing Methods
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.

Computational Methods in Engineering

Computational Methods in Engineering
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.

Computing Methods

Computing Methods
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.

Modern Computational Methods

Modern Computational Methods
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.

Innovative Computing Methods and Their Applications to Engineering Problems

Innovative Computing Methods and Their Applications to Engineering Problems
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.

High Accuracy Computing Methods

High Accuracy Computing Methods
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"--

Computational Methods for Inverse Problems

Computational Methods for Inverse Problems
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.

Computing Methods in Optimization Problems

Computing Methods in Optimization 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.

Soft Computing Methods for Microwave and Millimeter-Wave Design Problems

Soft Computing Methods for Microwave and Millimeter-Wave Design Problems
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.