ODE-IVP-PACK

ODE-IVP-PACK via Sinc indefinite integration and Newton’s method. The paper describes a package of programs written in Fortran-77 for initial value problems (IVPs) for systems of ordinary differential equations (ODEs). The algorithm behind this package is based on Sinc indefinite integration. The numerical method is efficient for a general class of differential equations, but it excels for problem solutions with endpoint singularities. It can also treat stiff and boundary layer problems and it is proved to be stable and convergent. The interval on which a numerical solution is computed can be finite, semi-infinite, the entire real line or a contour in the complex plane. (netlib numeralgo na19)

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References in zbMATH (referenced in 6 articles , 1 standard article )

Showing results 1 to 6 of 6.
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  1. Okayama, Tomoaki; Shintaku, Yuya; Katsuura, Eisuke: New conformal map for the Sinc approximation for exponentially decaying functions over the semi-infinite interval (2020)
  2. Okayama, Tomoaki: Theoretical analysis of sinc-collocation methods and sinc-Nyström methods for systems of initial value problems (2018)
  3. Trynin, A. Yu.: On necessary and sufficient conditions for convergence of sinc-approximations (2016)
  4. Stenger, Frank: Summary of Sinc numerical methods (2000)
  5. Stenger, F.; Gustafson, S.-Å.; Keyes, B.; O’Reilly, M.; Parker, K.: ODE-IVP-PACK via Sinc indefinite integration and Newton’s method (1999)
  6. Stenger, Frank: Matrices of Sinc methods (1997)