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Volumn 60, Issue 4, 1998, Pages 365-376

The Tau Method as an Analytic Tool in the Discussion of Equivalence Results Across Numerical Methods

Author keywords

Collocation; Finite difference methods; Spectral methods; Tau Method

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; FINITE DIFFERENCE METHOD; PERTURBATION TECHNIQUES; POLES AND ZEROS; POLYNOMIALS; RUNGE KUTTA METHODS; SPECTRUM ANALYSIS;

EID: 0031625843     PISSN: 0010485X     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02684381     Document Type: Article
Times cited : (12)

References (14)
  • 1
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    • Dahlquist, G.1
  • 2
    • 0028739960 scopus 로고
    • A recursive formulation of collocation in terms of canonical polynomials
    • El-Daou, M. K., Ortiz, E. L.: A recursive formulation of collocation in terms of canonical polynomials. Computing 52, 177-202 (1994).
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    • El-Daou, M.K.1    Ortiz, E.L.2
  • 3
    • 38249007629 scopus 로고
    • A unified approach to the Tau Method and Chebyshev series expansions techniques
    • El-Daou, M. K., Ortiz, E. L., Samara, H.: A unified approach to the Tau Method and Chebyshev series expansions techniques. Comput. Math. Appl. 25, 73-82 (1992).
    • (1992) Comput. Math. Appl. , vol.25 , pp. 73-82
    • El-Daou, M.K.1    Ortiz, E.L.2    Samara, H.3
  • 6
    • 85162699057 scopus 로고
    • Trigonometric interpolation of empirical and analytical functions
    • Lanczos, C.: Trigonometric interpolation of empirical and analytical functions. J. Math. Phys. 17, 123-199 (1938).
    • (1938) J. Math. Phys. , vol.17 , pp. 123-199
    • Lanczos, C.1
  • 7
    • 84860712871 scopus 로고
    • Superconvergence for multistep collocations
    • Lie, I., Nørsett, S. P.: Superconvergence for multistep collocations. Math Comp. 52, 65-79 (1989).
    • (1989) Math Comp. , vol.52 , pp. 65-79
    • Lie, I.1    Nørsett, S.P.2
  • 8
    • 0348039432 scopus 로고
    • Collocation and perturbed collocation methods
    • Watson, G. A. (ed.), Numerical analysis, Dundee 1979, Berlin Heidelberg New York: Springer
    • Nørsett, S. P.: Collocation and perturbed collocation methods. In: Watson, G. A. (ed.), Numerical analysis, Dundee 1979, pp. 119-132. Berlin Heidelberg New York: Springer 1980 (Lecture Notes in Mathematics, Vol 773).
    • (1980) Lecture Notes in Mathematics , vol.773 , pp. 119-132
    • Nørsett, S.P.1
  • 9
    • 0007058183 scopus 로고
    • Perturbed collocation and Runge-Kutte methods
    • Nørsett, S. P., Wanner, G.: Perturbed collocation and Runge-Kutte methods. Numer. Math. 38, 193-208 (1981).
    • (1981) Numer. Math. , vol.38 , pp. 193-208
    • Nørsett, S.P.1    Wanner, G.2
  • 10
    • 84966260622 scopus 로고
    • Numerical solution of stiff and singularly perturbed boundary value problems with a segmented-adaptive formulation of the Tau Method
    • Onumanyi, P., Ortiz, E. L.: Numerical solution of stiff and singularly perturbed boundary value problems with a segmented-adaptive formulation of the Tau Method. Math Comp. 43, 189-203 (1984).
    • (1984) Math Comp. , vol.43 , pp. 189-203
    • Onumanyi, P.1    Ortiz, E.L.2
  • 11
    • 0343024459 scopus 로고
    • New linear multi-step methods with continuous coefficients for first order IVPs
    • Onumanyi P., Awoyemi D. O., Jator S. N., Sirisena U. W.: New linear multi-step methods with continuous coefficients for first order IVPs. J. Nigerian Math. Soc. 13, 37-51 (1994).
    • (1994) J. Nigerian Math. Soc. , vol.13 , pp. 37-51
    • Onumanyi, P.1    Awoyemi, D.O.2    Jator, S.N.3    Sirisena, U.W.4
  • 14
    • 0001716997 scopus 로고
    • Some relationships between implicit Runge-Kutta, collocation and Lanczos τ-methods and their stability properties
    • Wright K.: Some relationships between implicit Runge-Kutta, collocation and Lanczos τ-methods and their stability properties. BIT 10, 217-227 (1970).
    • (1970) BIT , vol.10 , pp. 217-227
    • Wright, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.