Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliography
B. L. Ehle, A-stable methods and Padé approximations to the exponential, SIAM J. Math. Anal., 4(1973), pp. 671–680.
H. Hung, The numerical solution of differential and integral equations by spline functions, Tech. Sum. Rep. 1053, Math. Res. Ctr., U.S. Army, Univ. of Wisconsin, Madison, 1970.
K. H. Kastlunger and G. Wanner, Runge-Kutta processes with multiple nodes, Computing, 9(1972), pp. 9–24.
L. Kramarz, Global approximations to solutions of initial value problems, submitted for publication.
L. Kramarz, Global approximations to solutions of initial value problems, Ph.D. Thesis, Georgia Inst. of Tech., Atlanta, 1977.
F. R. Loscalzo, On the use of spline functions for the numerical solution of ordinary differential equations, Tech. Sum. Rep. 869, Math. Res. Ctr, U.S. Army, Univ. of Wisconsin, Madison, 1968.
A. Spitzbart, A generalization of Hermite's interpolation formula, Amer. Math. Monthly, 67(1960), pp. 42–46.
J. Todd, A survey of numerical analysis, McGraw-Hill, New York, 1962.
R. S. Varga, Error bounds for spline interpolation, Approximation with special emphasis on spline functions, I. J. Schoenberg, ed., Academic Press, New York, 1969, pp. 367–388.
K. A. Wittenbrink, High order projection methods of moment and collocation type for nonlinear boundary value problems, Computing, 11(1973), pp. 255–274.
K. Wright, Some relationships between implicit Runge-Kutta, collocation, and Lanczos τ methods, and their stability properties, BIT, 10(1970), pp. 217–227.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1979 Springer-Verlag
About this paper
Cite this paper
Kramarz, L. (1979). Hermite methods for the numerical solution of ordinary initial value problems. In: Nashed, M.Z. (eds) Functional Analysis Methods in Numerical Analysis. Lecture Notes in Mathematics, vol 701. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062078
Download citation
DOI: https://doi.org/10.1007/BFb0062078
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-09110-3
Online ISBN: 978-3-540-35530-4
eBook Packages: Springer Book Archive