Dynamics with inequalities : impacts and hard constraints / David E. Stewart.

Format:

Book

Author/Creator:

Stewart, David, 1961-

Contributor:

Class of 1953 Fund.

Series:

Applied mathematics

Language:

English

Subjects (All):

Dynamics.

Physical Description:

xiii, 387 pages : illustrations ; 26 cm.

Place of Publication:

Philadelphia : Society for Industrial and Applied Mathematics, [2011]

Summary:

Hard limits are natural models for many dynamic phenomena, says Stewart (mathematics, U. of Iowa), and there are ways of creating differential equations with hard constraints that are natural and provide accurate models of many physical, biological, and economic systems. He describes models that have roots in optimization theory and show Lagrange multipliers and complementary principles not only as methods to minimize functions subject to constraints, but also as ways of formulating dynamic models to systems with hard constraints. A central idea is index: the number of differentiations between a hard constraint and the state variables of the dynamic system. Annotation ©2012 Book News, Inc., Portland, OR (booknews.com)

Notes:

Includes bibliographical references and index.

Local Notes:

Acquired for the Penn Libraries with assistance from the Class of 1953 Fund.

ISBN:

1611970709

9781611970708

OCLC:

710815911

Publisher Number:

99945807768