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

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9780125255509: The Fractional Calculus Theory and Applications of Differentiation and Integration to Arbitrary Order (Mathematics in Science and Engineering)

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; and
methods 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 particular
branches, 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

"synopsis" may belong to another edition of this title.

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.

"About this title" may belong to another edition of this title.

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Keith B. Oldham, Jerome Spanier
Published by Elsevier Science (1974)
ISBN 10: 0125255500 ISBN 13: 9780125255509
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Jerome Spanier; Keith B. Oldham
Published by Elsevier Science (1974)
ISBN 10: 0125255500 ISBN 13: 9780125255509
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