Numerical Derivatives and Nonlinear Analysis / Harriet Kagiwada ... [et al.]

• Pubblicazione: New York, : Plenum, 1986
• Descrizione fisica: x, 201 p. : ill. ; 24 cm
• Soggetto topico: 65-XX - Numerical analysis [MSC 2020]; 65D15 - Algorithms for approximation of functions [MSC 2020]; 65D25 - Numerical differentiation [MSC 2020]; 65K10 - Numerical optimization and variational techniques [MSC 2020]; 65L10 - Numerical solution of boundary value problems involving ordinary differential equations [MSC 2020]; 65R20 - Numerical methods for integral equations [MSC 2020]
• Soggetto non controllato: Computer; Control; Identifications; Software
• Persona (resp. second.): Kagiwada, Harriett
• Nota di contenuto: For many years it has been an article of faith of numerical analysts that the evaluation of derivatives of complicated functions should be avoided. Derivatives were evaluated using finite differences or, more recently, using symbolic manipulation packages. The first has the disadvantage of limited accuracy. The second has disadvantages of being expensive and requiring considerable computer memory. The recent developments described in this text allow the evaluation of derivatives using simple automatic derivative evaluation subroutines pro­ grammed in FORTRAN or BASIC. These subroutines can even be programmed on a personal computer. The concept for the evaluation of the derivatives was originally developed by Wengert over 20 years ago. Significant im­ provements have been made in Wengert's method and are utilized in this text. The purpose of this text is to familiarize computer users with a simple and practical method for obtaining the partial derivatives of complicated mathematical expressions. The text illustrates the use of automatic deriva­ tive evaluation subroutines to solve a wide range of nonlinear least-squares, optimal control, system identification, two-point boundary value problems, and integral equations. The numerical values of the derivatives are evalu~ ated exactly, except for roundoff, using simple FORTRAN or BASIC sub­ routines. These derivatives are derived automatically behind the scenes, from the equivalent of analytical expressions, without any effort from the user. The use of costly software packages is not required.
• Titolo autorizzato: Numerical Derivatives and Nonlinear Analysis
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: VAN00268878
• Lo trovi qui: Univ. Vanvitelli
• Localizzazioni e accesso elettronico: https://doi.org/10.1007/978-1-4684-5056-9
• Serie: Mathematical Concepts and Methods in Science and Engineering New York . -Plenum ; [poi] Springer ; 31