NEW ALGORITHMS FOR SOLVING ODES BY PSEUDOSPECTRAL METHOD

  • Published : 2000.05.01

Abstract

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.

Keywords

References

  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