메뉴 건너뛰기




Volumn 192, Issue 2, 2006, Pages 310-319

Approximations of Sturm-Liouville eigenvalues using differential quadrature (DQ) method

Author keywords

Differential quadrature method; Eigenvalues; Schr dinger equation; Sturm Liouville problem

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL MODELS; NUMERICAL METHODS; POLYNOMIALS; PROBLEM SOLVING;

EID: 33646081035     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.05.008     Document Type: Article
Times cited : (23)

References (15)
  • 1
    • 0001787336 scopus 로고
    • Asymptotic correction of computed eigenvalues of differential equations
    • Andrew A.L. Asymptotic correction of computed eigenvalues of differential equations. Ann. Numer. Math. 1 (1994) 41-51
    • (1994) Ann. Numer. Math. , vol.1 , pp. 41-51
    • Andrew, A.L.1
  • 2
    • 0034515670 scopus 로고    scopus 로고
    • Asymptotic correction of Numerov's eigenvalue estimates with natural boundary conditions
    • Andrew A.L. Asymptotic correction of Numerov's eigenvalue estimates with natural boundary conditions. J. Comput. Appl. Math. 125 (2000) 359-366
    • (2000) J. Comput. Appl. Math. , vol.125 , pp. 359-366
    • Andrew, A.L.1
  • 3
    • 0000408772 scopus 로고
    • Correction of Numerov's eigenvalue estimates
    • Andrew A.L., and Paine J.W. Correction of Numerov's eigenvalue estimates. Numer. Math. 47 (1985) 289-300
    • (1985) Numer. Math. , vol.47 , pp. 289-300
    • Andrew, A.L.1    Paine, J.W.2
  • 4
    • 0000615322 scopus 로고
    • Correction of finite element estimates for Sturm-Liouville eigenvalues
    • Andrew A.L., and Paine J.W. Correction of finite element estimates for Sturm-Liouville eigenvalues. Numer. Math. 50 (1986) 205-215
    • (1986) Numer. Math. , vol.50 , pp. 205-215
    • Andrew, A.L.1    Paine, J.W.2
  • 5
    • 0002800312 scopus 로고
    • Differential quadrature: a technique for the rapid solution of nonlinear partial differential equations
    • Bellman R., Kashef B.G., and Casti J. Differential quadrature: a technique for the rapid solution of nonlinear partial differential equations. J. Comput. Phys. 10 (1972) 40-52
    • (1972) J. Comput. Phys. , vol.10 , pp. 40-52
    • Bellman, R.1    Kashef, B.G.2    Casti, J.3
  • 6
    • 0029724421 scopus 로고    scopus 로고
    • Differential quadrature method in computational mechanics: a review
    • Bert C.W., and Malik M. Differential quadrature method in computational mechanics: a review. Appl. Mech. Rev. 49 (1996) 1-28
    • (1996) Appl. Mech. Rev. , vol.49 , pp. 1-28
    • Bert, C.W.1    Malik, M.2
  • 7
    • 0031143521 scopus 로고    scopus 로고
    • Approximations of Sturm-Liouville eigenvalues using Boundary Value Methods
    • Ghelardoni P. Approximations of Sturm-Liouville eigenvalues using Boundary Value Methods. Appl. Numer. Math. 23 (1997) 311-325
    • (1997) Appl. Numer. Math. , vol.23 , pp. 311-325
    • Ghelardoni, P.1
  • 8
    • 0001069053 scopus 로고
    • On the correction of finite difference eigenvalue approximations for Sturm-Liouville problems
    • Paine J.W., de Hoog F.R., and Anderssen R.S. On the correction of finite difference eigenvalue approximations for Sturm-Liouville problems. Computing 26 (1981) 123-139
    • (1981) Computing , vol.26 , pp. 123-139
    • Paine, J.W.1    de Hoog, F.R.2    Anderssen, R.S.3
  • 10
    • 33646076625 scopus 로고    scopus 로고
    • C. Shu, Generalized differential-integral quadrature and application to the simulation of incompressible viscous flows including parallel computation, Ph.D. Thesis, University of Glasgow, UK, 1991.
  • 12
    • 0030237098 scopus 로고    scopus 로고
    • Numerical studies of unsteady boundary layer flows past an impulsively started circular cylinder by GDQ and GIQ approaches
    • Shu C., Khoo B.C., Chew Y.T., and Yeo K.S. Numerical studies of unsteady boundary layer flows past an impulsively started circular cylinder by GDQ and GIQ approaches. Comput. Methods Appl. Mech. Engrg. 135 (1996) 229-241
    • (1996) Comput. Methods Appl. Mech. Engrg. , vol.135 , pp. 229-241
    • Shu, C.1    Khoo, B.C.2    Chew, Y.T.3    Yeo, K.S.4
  • 13
    • 0026939625 scopus 로고
    • Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations
    • Shu C., and Richards B.E. Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations. Internat. J. Numer. Methods Fluids 15 (1992) 791-798
    • (1992) Internat. J. Numer. Methods Fluids , vol.15 , pp. 791-798
    • Shu, C.1    Richards, B.E.2
  • 14
    • 0000985559 scopus 로고
    • Accurate computation of higher Sturm-Liouville eigenvalues
    • Vanden Berghe G., and De Meyer H. Accurate computation of higher Sturm-Liouville eigenvalues. Numer. Math. 59 (1991) 243-254
    • (1991) Numer. Math. , vol.59 , pp. 243-254
    • Vanden Berghe, G.1    De Meyer, H.2
  • 15
    • 0002478601 scopus 로고
    • A parallel approach to the modified Numerov-like eigenvalue determination for Sturm-Liouville problems
    • Vanden Berghe G., De Meyer H., and Van Daele M. A parallel approach to the modified Numerov-like eigenvalue determination for Sturm-Liouville problems. Comput. Math. Appl. 23 12 (1992) 69-74
    • (1992) Comput. Math. Appl. , vol.23 , Issue.12 , pp. 69-74
    • Vanden Berghe, G.1    De Meyer, H.2    Van Daele, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.