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Variational and Finite Element Methods: A Symbolic Computation Approach - Hardcover

 
9783540515982: Variational and Finite Element Methods: A Symbolic Computation Approach

Inhaltsangabe

The variational approach, including the direct methods and finite elements, is one of the main tools of engineering analysis. However, it is difficult to appreciate not only for seniors but for graduate students too. It is possible to make this subject easier to understand with the help of symbolic manipulation codes (SMC). The easiness with which these codes provide analytical results allow for a student or researcher to focus on the ideas rather than on calculational difficulties. The very process of programming with SMC encourages appreciation of the qualitative aspects of investigations. Saving time and effort, they enable undergraduates to deal with the subjects generally regarded as graduate courses. There is a habitual aspect too. These days it is more convenient for a student (researcher) to work with a keyboard than with a pencil. Moreover, semantic features of the codes may allow for generalizations of the standard techniques, which would be impossible to achieve without the computer's help.

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The variational approach, including the direct methods and finite elements, is one of the main tools of engineering analysis. However, it is difficult to appreciate not only for seniors but for graduate students too. It is possible to make this subject easier to understand with the help of symbolic manipulation codes (SMC). The easiness with which these codes provide analytical results allow for a student or researcher to focus on the ideas rather than on calculational difficulties. The very process of programming with SMC encourages appreciation of the qualitative aspects of investigations. Saving time and effort, they enable undergraduates to deal with the subjects generally regarded as graduate courses. There is a habitual aspect too. These days it is more convenient for a student (researcher) to work with a keyboard than with a pencil. Moreover, semantic features of the codes may allow for generalizations of the standard techniques, which would be impossible to achieve without the computer's help.

Reseña del editor

The variational approach, including the direct method of finite elements, is one of the main tools of engineering analysis. However, it is difficult for college seniors as well as graduate students to appreciate. It is possible to make this subject easier to understand with the help of symbolic manipulation codes (SMC). The ease with which these codes provide analytical results allow a student or researcher to focus on the ideas rather than on calculational difficulties. This text systematically resorts to a symbolic computation code to present finite elements in such a way that they can be used as an expert system. The presentation is complemented by a variety of problems on different levels of difficulty at the end of each chapter. Solutions are given in aseparate section in the appendix of the book.

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Beltzer, Abraham I.
Verlag: Springer, Berlin, 1990
ISBN 10: 3540515984 ISBN 13: 9783540515982
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Original-Pappband. Zustand: Sehr gut. 4 Original-Pappband en Mathematik, Naturwissenschaften XI pp., 254 pp. Artikel-Nr. 1404

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