- Bettis , D. 1979 . “Runge-Kutta methods for oscillatory problems” . Z. Angew. Math. Phys. , 30 : 699 – 704 .
- Chawla , M. M. and Al-Zanaidi , A. 1998 . “A two-stage fourth-order "almost" P-stable method for oscillatory problems” . J. Comput. Appl. Math. , 89 : 115 – 118 .
- Coleman , J.P. 1989 . “Numerical methods for y" =f(x,y} via rational approximations for the cosine'' . IMAJ. Numer. Anal , 9 : 145 – 165 .
- Hairer , E. 1979 . “Unconditionally stable methods for second order differential equations” . Numer. Math. , 32 : 373 – 379 .
- Hairer , E. and Wanner , G. 1991 . Solving Ordinary Differential Equations, Vol. II. Stiff and Differential-Algebraic Problems , Berlin : Springer-Verlag .
- Van Der Houwen , P.J. and Sommeijer , B.P. 1987 . “Explicit Runge-Kutta (-Nyström} methods with reduced phase errors for computing oscillating solutions” . SIAMJ. Numer. Anal. , 24 : 595 – 617 .
- Korsett , S.P. 1984 . “Splines and collocation for ordinary initial value problems” . In Approximation Theory and Spline Functions , Edited by: Singh , S.P. 397 – 417 . Dordrecht : Reidel .
- Sallam , S. and Naim Anwar , M. 2000 . “Quintic C2-spline integration methods for solving second-order ordinary initial value problems” . J. Comput. Appl. Math. , 115 : 495 – 502 .
- Sharp , P.W. , Fine , J.M. and Burrage , K. 1990 . “Two-stage and three-stage diagonally implicit Runge-Kutta-Nyström methods of orders three and four” . IMAJ. Numer. Anal. , 10 : 489 – 504 .
Sixth Order C 2 -Spline Collocation Method for Integrating Second Order Ordinary Initial Value Problems
Reprints and Corporate Permissions
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
To request a reprint or corporate permissions for this article, please click on the relevant link below:
Academic Permissions
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
Obtain permissions instantly via Rightslink by clicking on the button below:
If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.
Related research
People also read lists articles that other readers of this article have read.
Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.
Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.