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

Verlag: Elsevier Science, 1974

Beschreibung

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. Bestandsnummer des Verkäufers 1720456

Bibliografische Details

Titel: The Fractional Calculus Theory and ...

Verlag: Elsevier Science

Erscheinungsdatum: 1974

Einband: gebundene Ausgabe

Zustand: Gut

Über diesen Titel

Inhaltsangabe:

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.

Reseña del editor:

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