Model order reduction for nonlinear differential algebraic equations in circuit simulation

T. Voss; A. Verhoeven; T. Bechtold; E.J.W. Maten, ter

doi:10.1007/978-3-540-71992-2_81

Model order reduction for nonlinear differential algebraic equations in circuit simulation

T. Voss
, A. Verhoeven
, T. Bechtold
, E.J.W. Maten, ter

Scientific Computing

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

Abstract

In this paper we demonstrate model order reduction of a nonlinear academic model of a diode chain. Two reduction methods, which are suitable for nonlinear differential algebraic equation systems are used, the trajectory piecewise linear approach and the proper orthogonal decomposition with missing point estimation.

Original language	English
Title of host publication	Progress in Industrial Mathematics at ECMI 2006 (Proceedings 14th European Conference on Mathematics for Industry, Madrid, Spain, July 10-14, 2006)
Editors	L.L. Bonilla, M. Moscoso, G. Platero, J.M. Vega
Place of Publication	Berlin
Publisher	Springer
Pages	518-523
ISBN (Print)	978-3-540-71991-5
DOIs	https://doi.org/10.1007/978-3-540-71992-2_81
Publication status	Published - 2008

Publication series

Name	Mathematics in Industry
Volume	12
ISSN (Print)	1612-3956

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10.1007/978-3-540-71992-2_81

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Voss, T., Verhoeven, A., Bechtold, T., & Maten, ter, E. J. W. (2008). Model order reduction for nonlinear differential algebraic equations in circuit simulation. In L. L. Bonilla, M. Moscoso, G. Platero, & J. M. Vega (Eds.), Progress in Industrial Mathematics at ECMI 2006 (Proceedings 14th European Conference on Mathematics for Industry, Madrid, Spain, July 10-14, 2006) (pp. 518-523). (Mathematics in Industry; Vol. 12). Springer. https://doi.org/10.1007/978-3-540-71992-2_81

Voss, T. ; Verhoeven, A. ; Bechtold, T. et al. / Model order reduction for nonlinear differential algebraic equations in circuit simulation. Progress in Industrial Mathematics at ECMI 2006 (Proceedings 14th European Conference on Mathematics for Industry, Madrid, Spain, July 10-14, 2006). editor / L.L. Bonilla ; M. Moscoso ; G. Platero ; J.M. Vega. Berlin : Springer, 2008. pp. 518-523 (Mathematics in Industry).

@inproceedings{dced7bb5c6144ee4a47129654d1cd3c4,

title = "Model order reduction for nonlinear differential algebraic equations in circuit simulation",

abstract = "In this paper we demonstrate model order reduction of a nonlinear academic model of a diode chain. Two reduction methods, which are suitable for nonlinear differential algebraic equation systems are used, the trajectory piecewise linear approach and the proper orthogonal decomposition with missing point estimation.",

author = "T. Voss and A. Verhoeven and T. Bechtold and \{Maten, ter\}, E.J.W.",

year = "2008",

doi = "10.1007/978-3-540-71992-2\_81",

language = "English",

isbn = "978-3-540-71991-5",

series = "Mathematics in Industry",

publisher = "Springer",

pages = "518--523",

editor = "L.L. Bonilla and M. Moscoso and G. Platero and J.M. Vega",

booktitle = "Progress in Industrial Mathematics at ECMI 2006 (Proceedings 14th European Conference on Mathematics for Industry, Madrid, Spain, July 10-14, 2006)",

address = "Germany",

}

Voss, T, Verhoeven, A, Bechtold, T & Maten, ter, EJW 2008, Model order reduction for nonlinear differential algebraic equations in circuit simulation. in LL Bonilla, M Moscoso, G Platero & JM Vega (eds), Progress in Industrial Mathematics at ECMI 2006 (Proceedings 14th European Conference on Mathematics for Industry, Madrid, Spain, July 10-14, 2006). Mathematics in Industry, vol. 12, Springer, Berlin, pp. 518-523. https://doi.org/10.1007/978-3-540-71992-2_81

Model order reduction for nonlinear differential algebraic equations in circuit simulation. / Voss, T.; Verhoeven, A.; Bechtold, T. et al.
Progress in Industrial Mathematics at ECMI 2006 (Proceedings 14th European Conference on Mathematics for Industry, Madrid, Spain, July 10-14, 2006). ed. / L.L. Bonilla; M. Moscoso; G. Platero; J.M. Vega. Berlin: Springer, 2008. p. 518-523 (Mathematics in Industry; Vol. 12).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Model order reduction for nonlinear differential algebraic equations in circuit simulation

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AU - Verhoeven, A.

AU - Bechtold, T.

AU - Maten, ter, E.J.W.

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Y1 - 2008

N2 - In this paper we demonstrate model order reduction of a nonlinear academic model of a diode chain. Two reduction methods, which are suitable for nonlinear differential algebraic equation systems are used, the trajectory piecewise linear approach and the proper orthogonal decomposition with missing point estimation.

AB - In this paper we demonstrate model order reduction of a nonlinear academic model of a diode chain. Two reduction methods, which are suitable for nonlinear differential algebraic equation systems are used, the trajectory piecewise linear approach and the proper orthogonal decomposition with missing point estimation.

U2 - 10.1007/978-3-540-71992-2_81

DO - 10.1007/978-3-540-71992-2_81

M3 - Conference contribution

SN - 978-3-540-71991-5

T3 - Mathematics in Industry

SP - 518

EP - 523

BT - Progress in Industrial Mathematics at ECMI 2006 (Proceedings 14th European Conference on Mathematics for Industry, Madrid, Spain, July 10-14, 2006)

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A2 - Vega, J.M.

PB - Springer

CY - Berlin

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Voss T, Verhoeven A, Bechtold T, Maten, ter EJW. Model order reduction for nonlinear differential algebraic equations in circuit simulation. In Bonilla LL, Moscoso M, Platero G, Vega JM, editors, Progress in Industrial Mathematics at ECMI 2006 (Proceedings 14th European Conference on Mathematics for Industry, Madrid, Spain, July 10-14, 2006). Berlin: Springer. 2008. p. 518-523. (Mathematics in Industry). doi: 10.1007/978-3-540-71992-2_81

Model order reduction for nonlinear differential algebraic equations in circuit simulation

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