http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
Numerical Methods for Nonlinear Engineering Models
The purpose of this book is to develop and illustrate various numerical computer based methods that can be used for engineering models and equations. The intended audience is the practicing engineer who needs to model real world engineering models or the upper level engineering undergraduate or first year graduate student interested in developing skills in computer models of engineering problems. The material is presented in a "learning by example" style whereby many examples are used to develop and illustrate concepts as opposed to extensive mathematical treatments. The book presents an integrated approach to engineering models whereby linear models are treated as simple special cases of more general approaches appropriate for nonlinear models. In addition to standard topics in numerical methods, the material covers the estimation of parameters associated with engineering models and the statistical nature of modeling with nonlinear models. Topics covered include coupled systems of nonlinear equations and coupled systems of nonlinear differential equations. For all the topics covered extensive computer code is developed in a modern computer language that is easy to program and understand. The developed code can be readily used to model real world engineering problems. Finally for all topic areas extensive discussion is included of the accuracy that can be achieved with the various numerical methods and methods are developed that can be used to access the accuracy of the modeling methods. The book assumes only the normal mathematical background of the introductory college level mathematics courses through calculus. In addition the material can be readily understood by anyone familiar with at least one computer programming language.
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.
Appl.Mathematics/Computational Methods of Engineering