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
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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.
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Fractional Calculus (Mathematics in Science and Engineering, Vol. 111) (Volume 111)
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Fractional Calculus (Mathematics in Science and Engineering, Vol. 111) (Volume 111)
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The Fractional Calculus
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ISBN 10: 0125255500
ISBN 13: 9780125255509
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The fractional calculus theory and applications of differentiation and integration to arbitrary order Keith B. Oldham, Jerome Spanier. Mathematics in science and engineering 111.
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The Fractional Calculus Theory and Applications of Differentiation and Integration to Arbitrary Order Mathematics in Science and Engineering Volume 111
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The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order (Mathematics in Science and Engineering, Volume 111)
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ISBN 10: 0125255500
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Fractional Calculus (Mathematics in Science and Engineering, Vol. 111) (Volume 111)
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Fractional Calculus (Mathematics in Science and Engineering, Vol. 111) (Volume 111)
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The Fractional Calculus Theory and Applications of Differentiation and Integration to Arbitrary Order
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