메뉴 건너뛰기




Volumn 33, Issue 1, 2000, Pages 143-149

Improving the accuracy of the matrix differentiation method for arbitrary collocation points

Author keywords

[No Author keywords available]

Indexed keywords

ERROR ANALYSIS; INTERPOLATION; LAGRANGE MULTIPLIERS; MATRIX ALGEBRA; POLYNOMIALS;

EID: 0034190378     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(99)00077-X     Document Type: Article
Times cited : (38)

References (10)
  • 1
    • 0032761614 scopus 로고    scopus 로고
    • The errors in calculating the pseudospectral differentiation matrices for Čebyšev-Gauss-Lobatto points
    • Errata: 38 (1999) 119
    • R. Baltensperger, J.-P. Berrut, The errors in calculating the pseudospectral differentiation matrices for Čebyšev-Gauss-Lobatto points, Comput. Math. Appl. 37 (1999) 41-18. Errata: 38 (1999) 119.
    • (1999) Comput. Math. Appl. , vol.37 , pp. 41-48
    • Baltensperger, R.1    Berrut, J.-P.2
  • 2
    • 0001096265 scopus 로고
    • Roundoff error in computing derivatives using the Chebyshev differentiation matrix
    • A. Bayliss, A. Class, B. Matkowsky, Roundoff error in computing derivatives using the Chebyshev differentiation matrix, J. Comput. Phys. 116 (1994) 380-383.
    • (1994) J. Comput. Phys. , vol.116 , pp. 380-383
    • Bayliss, A.1    Class, A.2    Matkowsky, B.3
  • 3
    • 0002389094 scopus 로고
    • On the errors incurred calculating derivatives using Chebyshev polynomials
    • K. S. Breuer, R.M. Everson, On the errors incurred calculating derivatives using Chebyshev polynomials, J. Comput. Phys. 99 (1992) 56-67.
    • (1992) J. Comput. Phys. , vol.99 , pp. 56-67
    • Breuer, K.S.1    Everson, R.M.2
  • 5
    • 0001044964 scopus 로고
    • Accuracy and speed in computing the Chebyshev collocation derivative
    • W.S. Don, A. Solomonoff, Accuracy and speed in computing the Chebyshev collocation derivative, SIAM J. Sci. Comput. 16 (1995) 1253-1268.
    • (1995) SIAM J. Sci. Comput. , vol.16 , pp. 1253-1268
    • Don, W.S.1    Solomonoff, A.2
  • 7
    • 0000981101 scopus 로고
    • Reducing round-off error in Chebyshev pseudospectral computations
    • M. Durand and F. El Dabaghi (Eds.), Elsevier, North-Holland
    • E.E. Rothman, Reducing round-off error in Chebyshev pseudospectral computations, in: M. Durand and F. El Dabaghi (Eds.), High Performance Computing II, Elsevier, North-Holland, 1991, pp. 423-439.
    • (1991) High Performance Computing , vol.2 , pp. 423-439
    • Rothman, E.E.1
  • 8
    • 84966212818 scopus 로고
    • Some new aspects of rational interpolation
    • C. Schneider, W. Werner, Some new aspects of rational interpolation, Math. Comp. 47 (1986) 285-299.
    • (1986) Math. Comp. , vol.47 , pp. 285-299
    • Schneider, C.1    Werner, W.2
  • 9
    • 0000198170 scopus 로고
    • A fast algorithm for spectral differentiation
    • A. Solomonoff, A fast algorithm for spectral differentiation, J. Comput. Phys. 98 (1992) 174-177.
    • (1992) J. Comput. Phys. , vol.98 , pp. 174-177
    • Solomonoff, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.