Problems For The Numerical Analysis Of The Future
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|Author||: Bilal Ayyub,Richard H. McCuen|
|Editor||: CRC Press|
Numerical Analysis for Engineers: Methods and Applications demonstrates the power of numerical methods in the context of solving complex engineering and scientific problems. The book helps to prepare future engineers and assists practicing engineers in understanding the fundamentals of numerical methods, especially their applications, limitations, and potentials. Each chapter contains many computational examples, as well as a section on applications that contain additional engineering examples. Each chapter also includes a set of exercise problems. The problems are designed to meet the needs of instructors in assigning homework and to help students with practicing the fundamental concepts. Although the book was developed with emphasis on engineering and technological problems, the numerical methods can also be used to solve problems in other fields of science.
|Author||: Andreas Hohmann,Peter Deuflhard|
|Editor||: Springer Science & Business Media|
This book introduces the main topics of modern numerical analysis: sequence of linear equations, error analysis, least squares, nonlinear systems, symmetric eigenvalue problems, three-term recursions, interpolation and approximation, large systems and numerical integrations. The presentation draws on geometrical intuition wherever appropriate and is supported by a large number of illustrations, exercises, and examples.
|Author||: Birendra Prasad|
The total integration of the process of designing, manufacturing, and supporting a product from the earliest conceptual phase to the time it is removed from service remains an unfulfilled dream. Yet, when we look at the enormity of the process of integration even for the most simply conceived and manufactured items, we can recognize that substantial progress has been and is being made. It is our nature to be dissatisfied with near term progress, but when we realize how short a time the tools to do that integration have been available, the progress is clearly noteworthy - considering the multitudes of subjects we have to deal with. Most of the integration problems we confront today are multidisciplinary in nature. They require not only the knowledge and experience in a variety of fields but also good cooperation from different disciplined organizations to adequately comprehend and solve such problems. In Volume I we have many examples that reflect the current state of the art in integration of engineer ing and production processes. The papers for Volume I have been arranged in a more or less logical order of conceptual. design, computer-based modeling, analysis, production, and manufacturing. Chapter I is devoted to those with a design and geometrie modeling emphasis; Chapter II is devoted to an engineering analysis emphasis; and Chapter III to a production/manufacturing emphasis.
|Author||: S. Abarbanel|
In this report, we give a general review of the possible areas, in which the methods of applied mathematics may be implemented to the benefit of modern material sciences. In particular, we address the emerging framework of nanotechnologies, and discuss both the issue of modeling, as well as that of solving (typically by approximate/numerical methods) the mathematical problem as presented by the model. We also emphasize the crucial role of close collaboration between the mathematicians on one side, and scientists and engineers on the other side, for the overall success.
|Author||: Richard L. Burden,J. Douglas Faires|
|Editor||: Cengage Learning|
This well-respected text gives an introduction to the modern approximation techniques and explains how, why, and when the techniques can be expected to work. The authors focus on building students' intuition to help them understand why the techniques presented work in general, and why, in some situations, they fail. With a wealth of examples and exercises, the text demonstrates the relevance of numerical analysis to a variety of disciplines and provides ample practice for students. The applications chosen demonstrate concisely how numerical methods can be, and often must be, applied in real-life situations. In this edition, the presentation has been fine-tuned to make the book even more useful to the instructor and more interesting to the reader. Overall, students gain a theoretical understanding of, and a firm basis for future study of, numerical analysis and scientific computing. A more applied text with a different menu of topics is the authors' highly regarded NUMERICAL METHODS, Third Edition.