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Identifiability for a Class of Discretized Linear Partial Differential Algebraic Equations

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Identifiability for a Class of Discretized Linear Partial Differential Algebraic Equations

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Cantó Colomina, B.; Coll, C.; Sánchez, E. (2011). Identifiability for a Class of Discretized Linear Partial Differential Algebraic Equations. Mathematical Problems in Engineering. 1-12. https://doi.org/10.1155/2011/510519

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Título: Identifiability for a Class of Discretized Linear Partial Differential Algebraic Equations
Autor: Cantó Colomina, Begoña Coll, Carmen Sánchez, Elena
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Universitat Politècnica de València. Instituto Universitario de Matemática Multidisciplinar - Institut Universitari de Matemàtica Multidisciplinària
Fecha difusión:
Resumen:
This paper presents the use of an iteration method to solve the identifiability problem for a class of discretized linear partial differential algebraic equations. This technique consists in replacing the partial derivatives ...[+]
Palabras clave: Algebraic equations , Discrete singular system , Drazin inverse , Identifiability , Iteration method , Mathematical physics , Partial derivatives , Partial differential-algebraic equations , Differential equations , Inverse problems , Algebra
Derechos de uso: Reconocimiento (by)
Fuente:
Mathematical Problems in Engineering. (issn: 1024-123X )
DOI: 10.1155/2011/510519
Editorial:
Hindawi Publishing Corporation
Versión del editor: http://dx.doi.org/10.1155/2011/510519
Código del Proyecto:
info:eu-repo/grantAgreement/UPV//PAID-05-10-003-295/
info:eu-repo/grantAgreement/MICINN//MTM2010-18228/ES/PROPIEDADES MATRICIALES CON APLICACION A LA TEORIA DE CONTROL/
Agradecimientos:
The authors are very grateful to the referees for their comments and suggestions. The paper is supported by Grant PAID-05-10-003-295 and Grant MTM2010-18228.
Tipo: Artículo

References

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LUCHT, W. (2002). On quasi-linear PDAEs with convection: Applications, indices, numerical solution. Applied Numerical Mathematics, 42(1-3), 297-314. doi:10.1016/s0168-9274(01)00157-x

Debrabant, K., & Strehmel, K. (2005). Convergence of Runge–Kutta methods applied to linear partial differential-algebraic equations. Applied Numerical Mathematics, 53(2-4), 213-229. doi:10.1016/j.apnum.2004.08.023

Ben-Zvi, A., McLellan, P. J., & McAuley, K. B. (2003). Identifiability of Linear Time-Invariant Differential-Algebraic Systems. I. The Generalized Markov Parameter Approach. Industrial & Engineering Chemistry Research, 42(25), 6607-6618. doi:10.1021/ie030317i

Ben-Zvi, A., McLellan, P. J., & McAuley, K. B. (2004). Identifiability of Linear Time-Invariant Differential-Algebraic Systems. 2. The Differential-Algebraic Approach. Industrial & Engineering Chemistry Research, 43(5), 1251-1259. doi:10.1021/ie030534j

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