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Volumn 147, Issue 2, 1998, Pages 441-462

The origin and nature of spurious eigenvalues in the spectral Tau method

Author keywords

Generalized eigenvalue problems; Spectral methods, Chebyshev tau method; Spurious eigenvlaues

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS;

EID: 0001039703     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1998.6095     Document Type: Article
Times cited : (30)

References (25)
  • 3
    • 0001234290 scopus 로고
    • Complex coordinate methods for hydrodynamic instabilities and Sturm-Liouville eigenproblems with an infinite singularity
    • Boyd J. P. Complex coordinate methods for hydrodynamic instabilities and Sturm-Liouville eigenproblems with an infinite singularity. J. Comput. Phys. 57:1985;454.
    • (1985) J. Comput. Phys. , vol.57 , pp. 454
    • Boyd, J.P.1
  • 5
    • 0006116409 scopus 로고
    • Comparaison des méthodes tau-Chebyshev et Galerkin dans l'étude de stabilité des mouvements de convection naturelle. Problème des valeurs propres parasites
    • Brenier B., Roux B., Bontoux P. Comparaison des méthodes tau-Chebyshev et Galerkin dans l'étude de stabilité des mouvements de convection naturelle. Problème des valeurs propres parasites. J. Méch. théor. appl. 5:1986;95.
    • (1986) J. Méch. Théor. Appl. , vol.5 , pp. 95
    • Brenier, B.1    Roux, B.2    Bontoux, P.3
  • 7
    • 0001625349 scopus 로고
    • Chebyshev methods for ordinary differential equations
    • Fox L. Chebyshev methods for ordinary differential equations. Comput. J. 4:1962;318.
    • (1962) Comput. J. , vol.4 , pp. 318
    • Fox, L.1
  • 9
    • 45149146149 scopus 로고
    • A modified tau spectral method that eliminates spurious eigenvalues
    • Gardner D. B., Trogdon S. A., Douglass R. W. A modified tau spectral method that eliminates spurious eigenvalues. J. Comput. Phys. 80:1989;137.
    • (1989) J. Comput. Phys. , vol.80 , pp. 137
    • Gardner, D.B.1    Trogdon, S.A.2    Douglass, R.W.3
  • 13
    • 0000689353 scopus 로고
    • The pseudospectral method for solving differential eigenvalue problems
    • Huaung W., Sloan D. M. The pseudospectral method for solving differential eigenvalue problems. J. Comput. Phys. 111:1994;399.
    • (1994) J. Comput. Phys. , vol.111 , pp. 399
    • Huaung, W.1    Sloan, D.M.2
  • 14
    • 0001264959 scopus 로고
    • Trigonometric interpolation of empirical and analytical functions
    • Lanczos C. Trigonometric interpolation of empirical and analytical functions. J. Math. Phys. 7:1938;123.
    • (1938) J. Math. Phys. , vol.7 , pp. 123
    • Lanczos, C.1
  • 16
    • 0004746378 scopus 로고
    • Elimination of spurious eigenvalues in the Chebyshev tau spectral method
    • McFadden G. B., Murray B. T., Boisvert R. F. Elimination of spurious eigenvalues in the Chebyshev tau spectral method. J. Comput. Phys. 91:1990;228.
    • (1990) J. Comput. Phys. , vol.91 , pp. 228
    • McFadden, G.B.1    Murray, B.T.2    Boisvert, R.F.3
  • 17
    • 84959707122 scopus 로고
    • Accurate solution of the Orr - Sommerfeld stability equation
    • Orszag S. A. Accurate solution of the Orr - Sommerfeld stability equation. J. Fluid Mech. 50:1971;689.
    • (1971) J. Fluid Mech. , vol.50 , pp. 689
    • Orszag, S.A.1
  • 21
    • 0030210322 scopus 로고    scopus 로고
    • Two very accurate and efficient methods for computing eigenvalues and eigenfunctions in porous convection problems
    • Straughan B., Walker D. W. Two very accurate and efficient methods for computing eigenvalues and eigenfunctions in porous convection problems. J. Comput. Phys. 127:1996;128.
    • (1996) J. Comput. Phys. , vol.127 , pp. 128
    • Straughan, B.1    Walker, D.W.2
  • 22
    • 0038954752 scopus 로고
    • Numerical solution of eigenvalue problems using spectral techniques
    • Su Y. Y., Khomami B. Numerical solution of eigenvalue problems using spectral techniques. J. Comput. Phys. 100:1992;297.
    • (1992) J. Comput. Phys. , vol.100 , pp. 297
    • Su, Y.Y.1    Khomami, B.2
  • 24
    • 0000792123 scopus 로고
    • A Chebyshev method for the solution of boundary value problems
    • Zebib A. A Chebyshev method for the solution of boundary value problems. J. Comput. Phys. 53:1984;443.
    • (1984) J. Comput. Phys. , vol.53 , pp. 443
    • Zebib, A.1
  • 25
    • 0000495603 scopus 로고
    • Removal of spurious modes encountered in solving stability problems by spectral methods
    • Zebib A. Removal of spurious modes encountered in solving stability problems by spectral methods. J. Comput. Phys. 70:1987;521.
    • (1987) J. Comput. Phys. , vol.70 , pp. 521
    • Zebib, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.