Numerical Methods for Nonlinear Engineering Models

There are many books on the use of numerical methods for solving engineering problems and for modeling of engineering artifacts. In addition there are many styles of such presentations ranging from books with a major emphasis on theory to books with an emphasis on applications. The purpose of this book is hopefully to present a somewhat different approach to the use of numerical methods for - gineering applications. Engineering models are in general nonlinear models where the response of some appropriate engineering variable depends in a nonlinear manner on the - plication of some independent parameter. It is certainly true that for many types of engineering models it is sufficient to approximate the real physical world by some linear model. However, when engineering environments are pushed to - treme conditions, nonlinear effects are always encountered. It is also such - treme conditions that are of major importance in determining the reliability or failure limits of engineering systems. Hence it is essential than engineers have a toolbox of modeling techniques that can be used to model nonlinear engineering systems. Such a set of basic numerical methods is the topic of this book. For each subject area treated, nonlinear models are incorporated into the discussion from the very beginning and linear models are simply treated as special cases of more general nonlinear models. This is a basic and fundamental difference in this book from most books on numerical methods.

Inhaltsverzeichnis

to Nonlinear Engineering Problems and Models.- Numerical Fundamentals and Computer Programming.- Roots of Nonlinear Equations.- Solving Sets of Equations: Linear and Nonlinear.- Numerical Derivatives and Numerical Integration.- Interpolation.- Curve Fitting and Data Plotting.- Statistical Methods and Basic Statistical Functions.- Data Models and Parameter Estimation.- Differential Equations: Initial Value Problems.- Differential Equations: Boundary Value Problems.- Partial Differential Equations: Finite Difference Approaches.- Partial Differential Equations: The Finite Element Method.

Zusammenfassung

There are many books on the use of numerical methods for solving engineering problems and for modeling of engineering artifacts. In addition there are many styles of such presentations ranging from books with a major emphasis on theory to books with an emphasis on applications. The purpose of this book is hopefully to present a somewhat different approach to the use of numerical methods for - gineering applications. Engineering models are in general nonlinear models where the response of some appropriate engineering variable depends in a nonlinear manner on the - plication of some independent parameter. It is certainly true that for many types of engineering models it is sufficient to approximate the real physical world by some linear model. However, when engineering environments are pushed to - treme conditions, nonlinear effects are always encountered. It is also such - treme conditions that are of major importance in determining the reliability or failure limits of engineering systems. Hence it is essential than engineers have a toolbox of modeling techniques that can be used to model nonlinear engineering systems. Such a set of basic numerical methods is the topic of this book. For each subject area treated, nonlinear models are incorporated into the discussion from the very beginning and linear models are simply treated as special cases of more general nonlinear models. This is a basic and fundamental difference in this book from most books on numerical methods.

Zusatztext

From the reviews:
“This voluminous book by Hauser … covers numerical topics ranging from roots of nonlinear equations to introductory finite element method. The advantage of this work lies in the author’s approach of show-and-tell or ‘learning by example.’ … The examples are almost exclusively in the area of nonlinear electronics … which may be quite advantageous for electronics engineers. … Summing Up: Recommended. Upper-division undergraduate through professional collections.” (R. N. Laoulache, Choice, Vol. 47 (3), November, 2009)
“The book represents a comprehensive guide for the exploitation of standard numerical tools in nonlinear engineering problems. The presentation style ensures a balanced construction in providing mathematical knowledge illustrated by relevant examples. … suitable for self-study and teaching support at the first postgraduate level. The book is recommended to educators interested in preparing or upgrading lecture notes and seminars, students specializing in different fields of engineering, and practitioners working with various types of nonlinear models.” (Octavian Pastravanu, Zentralblatt MATH, Vol. 1173, 2009)

Bericht

From the reviews:
"This voluminous book by Hauser ... covers numerical topics ranging from roots of nonlinear equations to introductory finite element method. The advantage of this work lies in the author's approach of show-and-tell or 'learning by example.' ... The examples are almost exclusively in the area of nonlinear electronics ... which may be quite advantageous for electronics engineers. ... Summing Up: Recommended. Upper-division undergraduate through professional collections." (R. N. Laoulache, Choice, Vol. 47 (3), November, 2009)
"The book represents a comprehensive guide for the exploitation of standard numerical tools in nonlinear engineering problems. The presentation style ensures a balanced construction in providing mathematical knowledge illustrated by relevant examples. ... suitable for self-study and teaching support at the first postgraduate level. The book is recommended to educators interested in preparing or upgrading lecture notes and seminars, students specializing in different fields of engineering, and practitioners working with various types of nonlinear models." (Octavian Pastravanu, Zentralblatt MATH, Vol. 1173, 2009)

Produktdetails

• Autoren: John R Hauser, John R. Hauser
• Verlag: Springer Netherlands
• Sprache: Englisch
• Produktform: Medienkombination
• Erschienen: 01.03.2011
• EAN: 9781402099199
• ISBN: 978-1-4020-9919-9
• Seiten: 1013
• Gewicht: 1627 g
• Illustration: XIII, 1013 p. With CD-ROM.
• Thema: Naturwissenschaften, Medizin, Informatik, Technik > Technik > Allgemeines, Lexika