메뉴 건너뛰기




Volumn 218, Issue 24, 2012, Pages 11990-12000

Spectral collocation solutions to multiparameter Mathieu's system

Author keywords

Chebyshev collocation; Jacobi Davidson method; Mathieu's system; Multiparameter eigenvalue problem; Tensor Rayleigh quotient iteration

Indexed keywords

CHEBYSHEV COLLOCATION; EIGENVALUE PROBLEM; JACOBI-DAVIDSON METHODS; MATHIEU'S SYSTEM; RAYLEIGH QUOTIENT ITERATION;

EID: 84863782248     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2012.05.068     Document Type: Article
Times cited : (15)

References (29)
  • 3
    • 0030558389 scopus 로고    scopus 로고
    • Applications of the Mathieu equation
    • L. Ruby Applications of the Mathieu equation Am. J. Phys. 64 1996 39 44
    • (1996) Am. J. Phys. , vol.64 , pp. 39-44
    • Ruby, L.1
  • 4
    • 77953860541 scopus 로고    scopus 로고
    • New method of well test analysis in naturally fractured reservoirs based on elliptical flow
    • A.O. Igbokoyi, and D. Tiab New method of well test analysis in naturally fractured reservoirs based on elliptical flow J. Can. Pet. Technol. 49 2010 1 15
    • (2010) J. Can. Pet. Technol. , vol.49 , pp. 1-15
    • Igbokoyi, A.O.1    Tiab, D.2
  • 5
    • 77249156266 scopus 로고    scopus 로고
    • Eigenmodes and eigenfrequencies of vibrating elliptic membranes: A Klein oscillation theorem and numerical calculations
    • A.G.M. Neves Eigenmodes and eigenfrequencies of vibrating elliptic membranes: A Klein oscillation theorem and numerical calculations Commun. Pure Appl. Anal. 9 2004 611 624
    • (2004) Commun. Pure Appl. Anal. , vol.9 , pp. 611-624
    • Neves, A.G.M.1
  • 6
    • 84968465006 scopus 로고
    • Eigenfrequencies of an elliptic membrane
    • B.A. Troesch, and H.R. Troesch Eigenfrequencies of an elliptic membrane Math. Comput. 27 1973 755 765
    • (1973) Math. Comput. , vol.27 , pp. 755-765
    • Troesch, B.A.1    Troesch, H.R.2
  • 8
    • 33846658757 scopus 로고    scopus 로고
    • Computing elliptic membrane high frequencies by Mathieu and Galerkin methods
    • H.B. Wilson, and R.W. Scharstein Computing elliptic membrane high frequencies by Mathieu and Galerkin methods J. Eng. Math. 57 2007 41 55
    • (2007) J. Eng. Math. , vol.57 , pp. 41-55
    • Wilson, H.B.1    Scharstein, R.W.2
  • 12
    • 63049095122 scopus 로고    scopus 로고
    • On spectral approximation in elliptical geometries using Mathieu functions
    • J. Shen, and L.-L. Wang On spectral approximation in elliptical geometries using Mathieu functions Math. Comput. 78 2009 815 884
    • (2009) Math. Comput. , vol.78 , pp. 815-884
    • Shen, J.1    Wang, L.-L.2
  • 14
    • 37349022907 scopus 로고    scopus 로고
    • Multiparameter spectral theory and separation of variables
    • B.D. Sleeman Multiparameter spectral theory and separation of variables J. Phys. A Math. Theor. 41 2008 1 20
    • (2008) J. Phys. A Math. Theor. , vol.41 , pp. 1-20
    • Sleeman, B.D.1
  • 16
    • 17444371208 scopus 로고    scopus 로고
    • A Jacobi-Davidson type method for the nonsingular two-parameter eigenvalue problem
    • M.E. Hochstenbach, T. Košir, and B. Plestenjak A Jacobi-Davidson type method for the nonsingular two-parameter eigenvalue problem SIAM J. Matrix Anal. Appl. 26 2005 477 497
    • (2005) SIAM J. Matrix Anal. Appl. , vol.26 , pp. 477-497
    • Hochstenbach, M.E.1    Košir, T.2    Plestenjak, B.3
  • 17
    • 0034144757 scopus 로고    scopus 로고
    • A continuation method for a right definite two-parameter eigenvalue problem
    • B. Plestenjak A continuation method for a right definite two-parameter eigenvalue problem SIAM J. Matrix Anal. Appl. 21 2000 1163 1184
    • (2000) SIAM J. Matrix Anal. Appl. , vol.21 , pp. 1163-1184
    • Plestenjak, B.1
  • 18
    • 0004236492 scopus 로고    scopus 로고
    • third ed. The Johns Hopkins University Press Baltimore
    • G.H. Golub, and C.F. Van Loan Matrix Computations third ed. 1996 The Johns Hopkins University Press Baltimore
    • (1996) Matrix Computations
    • Golub, G.H.1    Van Loan, C.F.2
  • 19
    • 62749172480 scopus 로고    scopus 로고
    • Harmonic Rayleigh-Ritz for the multiparameter eigenvalue problem
    • M.E. Hochstenbach, and B. Plestenjak Harmonic Rayleigh-Ritz for the multiparameter eigenvalue problem Electron. Trans. Numer. Anal. 29 2008 81 96
    • (2008) Electron. Trans. Numer. Anal. , vol.29 , pp. 81-96
    • Hochstenbach, M.E.1    Plestenjak, B.2
  • 20
    • 42349094330 scopus 로고    scopus 로고
    • Arnoldi and Jacobi-Davidson methods for generalized eigenvalue problems Ax = λbx with B singular
    • J. Rommes Arnoldi and Jacobi-Davidson methods for generalized eigenvalue problems Ax = λBx with B singular Math. Comput. 77 2008 995 1015
    • (2008) Math. Comput. , vol.77 , pp. 995-1015
    • Rommes, J.1
  • 21
    • 77953616603 scopus 로고    scopus 로고
    • Analytical and numerical solutions to an electrohydrodynamic stability problem
    • F.I. Dragomirescu, and C.I. Gheorghiu Analytical and numerical solutions to an electrohydrodynamic stability problem Appl. Math. Comput. 216 2010 3718 3727
    • (2010) Appl. Math. Comput. , vol.216 , pp. 3718-3727
    • Dragomirescu, F.I.1    Gheorghiu, C.I.2
  • 23
    • 62549166284 scopus 로고    scopus 로고
    • Spectral methods in linear stability. Application to thermal convection with variable gravity field
    • C.I. Gheorghiu, and F.I. Dragomirescu Spectral methods in linear stability. Application to thermal convection with variable gravity field Appl. Numer. Math. 59 2009 1290 1302
    • (2009) Appl. Numer. Math. , vol.59 , pp. 1290-1302
    • Gheorghiu, C.I.1    Dragomirescu, F.I.2
  • 26
    • 0142030961 scopus 로고    scopus 로고
    • Backward error, condition numbers, and pseudospectra for the multiparameter eigenvalue problem
    • M.E. Hochstenbach, and B. Plestenjak Backward error, condition numbers, and pseudospectra for the multiparameter eigenvalue problem Linear Algebra Appl. 375 2003 63 81
    • (2003) Linear Algebra Appl. , vol.375 , pp. 63-81
    • Hochstenbach, M.E.1    Plestenjak, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.