The Fractional Calculus Theory and Applications of Differentiation and Integration to Arbitrary Order Mathematics in Science and Engineering Volume 111

Oldham, Keith B. and Jerome Spanier:

ISBN 10: 0125255500 / ISBN 13: 9780125255509

Published by Elsevier Science, 1974

About this Item

234 Seiten; Leichte altersbedingte Anbräunung des Papiers. Schnitt und Einband sind etwas staubschmutzig; Einbandkanten sind leicht bestoßen; der Buchzustand ist ansonsten ordentlich und dem Alter entsprechend gut. ENGLISCH. Sprache: Englisch Gewicht in Gramm: 560. Seller Inventory # 1720456

Bibliographic Details

Title: The Fractional Calculus Theory and ...

Publisher: Elsevier Science

Publication Date: 1974

Binding: gebundene Ausgabe

Condition: Gut

About this title

Synopsis:

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.

- Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering

About the Author:

Keith B. Oldham is Professor of Chemistry at Trent University in Ontario, and Jerome Spanier is a research mathematician at the University of California at Irvine.