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2002 | 12 | 4 | 487-491
Tytuł artykułu

A boundary-value problem for linear PDAEs

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We analyze a boundary-value problem for linear partial differential algebraic equations, or PDAEs, by using the method of the separation of variables. The analysis is based on the Kronecker-Weierstrass form of the matrix pencil[A,-λ_n B]. A new theorem is proved and two illustrative examples are given.
Rocznik
Tom
12
Numer
4
Strony
487-491
Opis fizyczny
Daty
wydano
2002
otrzymano
2001-09-20
Twórcy
  • DeVry College of Technology 630 US Highway One, 630 US Highway One, North Brunswick, NJ 08902, USA
  • Warsaw University of Technology, Institute of Theory of Electrical Engineering and Electrical Measurements, Pl. Politechniki 1 00-661 Warsaw, Poland
Bibliografia
  • Brenan K.E., Campbell S.L. and Petzold L.R. (1996): Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations. - Philadelphia, PA: SIAM.
  • Campbell S.L. (1982): Singular Systems of Differential Equations II. - Marshfield, MA: Pitman.
  • Campbell S.L. and Marszałek W. (1999): Index of infinite dimensional differential algebraic equations. - Math. Comp. Model. Dynam. Syst., Vol. 5, No. 1, pp. 18-42.
  • Campbell S.L. and Marszałek W. (1996): ODEDAE integrators and MOL problems. -Zeitschrift fur Angewandte Mathematik und Mechanik (ZAMM), pp. 251-254.
  • Campbell S.L. and Marszałek W. (1998): Mixed symbolic-numerical computations with general DAEs: An applications case study. - Numer. Alg., Vol. 19, No. 1, pp. 85-94.
  • Campbell S.L. and Marszałek W. (1997): DAEs arising from traveling wave solutions of PDEs I. - J. Comp. Appl. Math., Vol. 82, No. 1-2, pp. 41-58.
  • Clark K.D. and Petzold L.R. (1989): Numerical solution of boundary value problem in differential algebraic systems. - SIAM J. Sci. Stat. Comp., Vol. 10, No. 5, pp. 915-936.
  • Griepentrog E. and Marz R. (1986): Differential-Algebraic Equations and Their Numerical Treatment. - Treubner-Texte zur Mathematik, Band 88, Treubner: Leipzig.
  • Haberman R. (1998): Elementary Applied Partial Differential Equations(with Fourier Series and Boundary Value Problems). - Upper Saddle River, NJ: Prentice Hall.
  • Lewis F.L. (1986): A survey of linear singular systems. - Circ.Syst. Signal Process., Vol. 5, No. 1, pp. 3-36.
  • Marszałek W. and Trzaska Z.W. (1995): Analysis of implicit hyperbolic multivariable systems. - Appl. Math. Model., Vol. 19, No. 7, pp. 400-410.
  • Marszałek W. and Campbell S.L. (1999): DAEs arising from traveling wave solutions of PDEs II. - Comp. Math. Appl., Vol. 37, No. 1, pp. 15-34.
  • Pipilis K.G. (1990): Higher Order Moving Finite Element Methods for Systems Described by Partial Differential-Algebraic Equations. - Ph.D. Thesis, Dept. Chem. Eng., Imperial College, London.
  • Strauss W.A. (1992): Partial Differential Equations: An Introduction. - New York: Wiley.
  • Trzaska Z.W. and Marszałek W. (1993): Singular distributed parameter systems. - IEE Proc., Pt.D. Contr. Th. Appl., Vol. 140, No. 5, pp. 305-308.
  • Watkins D.S. (1991): Fundamentals of Matrix Computations.- New York: Wiley.
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Bibliografia
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bwmeta1.element.bwnjournal-article-amcv12i4p487bwm
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