×
Kastlunger, K.; Wanner, Gerhard

On Turan type implicit Runge-Kutta methods. (English) Zbl 0258.65078

Computing 9, 317-325 (1972).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0258.65078

Cited in 1 Review
Cited in 28 Documents

MSC:

65L05 Numerical methods for initial value problems involving ordinary differential equations
Cite Review PDF
Full Text: DOI

References:

[1] Butcher, J. C.: Implicit Runge-Kutta processes. Math. Comp.18, 50–64 (1964). · Zbl 0123.11701 · doi:10.1090/S0025-5718-1964-0159424-9
[2] Butcher, J. C.: Lectures on Runge-Kutta Methods. University of Innsbruck, June 1–5. 1970.
[3] Hairer, E.: A general method for ordinary differential equations. (To appear.) · Zbl 0462.65049
[4] Kastlunger, K., andG. Wanner: Runge-Kutta Methods with Multiple Nodes. Computing9, 9–24 (1972). · Zbl 0234.65067 · doi:10.1007/BF02236372
[5] Turán, P.: On the theory of the mechanical quadrature, Acta sci. math.12 A, 30–37 (1950).
[6] Wanner, G.: Int. gew. Diffgln., B. I. Htb. 831/831 a, Mannheim. 1969.
[7] Ehle, B.: On Padé Approximations to the Exponential Function and A-stable Methods for Num. Sol. of Initial Value Prob., Thesis. 1969.
[8] Stroud, A. H., andD. D. Stancu: Quadrature formulas with multiple Gaussian nodes. J. SIAM Numer. Anal.B2, 129–143 (1965). · Zbl 0141.13803
[9] Development of new methods for ..., Final Technical Report, Prof.W. Groebner, University of Innsbruck. 1969.
[10] Wanner, G.: Runge-Kutta Methods with Expansion in Even Powers ofh. (To appear.) · Zbl 0258.65076
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.