Journal of applied mathematics & informatics

  • 제7권2호
  • /
  • Pages.439-451
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  • 2000
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  • 2734-1194(pISSN)
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  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

NEW ALGORITHMS FOR SOLVING ODES BY PSEUDOSPECTRAL METHOD

  • 발행 : 2000.05.01

⟨ 이전 논문 다음 논문 ⟩

초록

To compute derivatives using matrix vector multiplication method, new algorithms were introduced in [1.2]n By these algorithms, we reduced roundoff error in computing derivative using Chebyshev collocation methods (CCM). In this paper, some applications of these algorithms ar presented.

키워드

참고문헌

  1. Korean J. Comput. and Appl. Math. v.6 no.2 Error Reduction for Higher Derivatives of Chebyshev Collocation Method Using Preconditioning and Domain Decomposition M. T. Darvishi;F. Ghoreishi
  2. Far East J. of Mathematical Sciences v.1 no.2 Multidomain and Preconditioning Schemes for Computing Higher Derivatives M. T. Darvishi;F. Ghoreishi
  3. Spectral Method in Fluid Mechanics C. Canuto;A. Quarteroni;M. Y. Hussaini;T. Zang
  4. SIAM J. of Sci. Comput. v.16 no.4 Accuracy and Speed in Computing the Chebyshev Collocation Derivative W. S. Don and A. Solomonoff
  5. SIAM J. of Sci. Comput. v.18 no.4 Accuracy Enhancement For Higher Derivatives Using Chebyshev Collocation and A Mapping Technique W. S. Don;A. Solomonoff
  6. in Spectral Methods for Partial Differential Equations Theory and Application of Spectral Methods D. Gottlieb;M. Y. Hussaini;S. A. Orszag;R. G. Voigt(ed.);D. Gottlieb(ed.);M. Y. Hussaini(ed.)
  7. A First Course in Numerical Analysis A. Ralston