Cargando…
The fractional calculus: theory and applications of differentiation and integration to arbitrary order
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-Lagrang...
Autores principales: | , |
---|---|
Lenguaje: | eng |
Publicado: |
Academic Press
1974
|
Materias: | |
Acceso en línea: | http://cds.cern.ch/record/105704 |
_version_ | 1780877300949057536 |
---|---|
author | Oldham, Keith B Spanier, Jerome |
author_facet | Oldham, Keith B Spanier, Jerome |
author_sort | Oldham, Keith B |
collection | CERN |
description | 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 mat |
id | cern-105704 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 1974 |
publisher | Academic Press |
record_format | invenio |
spelling | cern-1057042021-04-22T05:40:19Zhttp://cds.cern.ch/record/105704engOldham, Keith BSpanier, JeromeThe fractional calculus: theory and applications of differentiation and integration to arbitrary orderMathematical Physics and MathematicsIn 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 matAcademic Pressoai:cds.cern.ch:1057041974 |
spellingShingle | Mathematical Physics and Mathematics Oldham, Keith B Spanier, Jerome The fractional calculus: theory and applications of differentiation and integration to arbitrary order |
title | The fractional calculus: theory and applications of differentiation and integration to arbitrary order |
title_full | The fractional calculus: theory and applications of differentiation and integration to arbitrary order |
title_fullStr | The fractional calculus: theory and applications of differentiation and integration to arbitrary order |
title_full_unstemmed | The fractional calculus: theory and applications of differentiation and integration to arbitrary order |
title_short | The fractional calculus: theory and applications of differentiation and integration to arbitrary order |
title_sort | fractional calculus: theory and applications of differentiation and integration to arbitrary order |
topic | Mathematical Physics and Mathematics |
url | http://cds.cern.ch/record/105704 |
work_keys_str_mv | AT oldhamkeithb thefractionalcalculustheoryandapplicationsofdifferentiationandintegrationtoarbitraryorder AT spanierjerome thefractionalcalculustheoryandapplicationsofdifferentiationandintegrationtoarbitraryorder AT oldhamkeithb fractionalcalculustheoryandapplicationsofdifferentiationandintegrationtoarbitraryorder AT spanierjerome fractionalcalculustheoryandapplicationsofdifferentiationandintegrationtoarbitraryorder |