This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Literatur
AHLBERG, J.H., NILSON, E.N., WALSH, J.L.: The theory of splines and their applications. New York, Academic Press 1967
CALLENDER, E.D.: Single step methods and low order splines for solutions of ordinary differential equations. SIAM J. Numer. Anal. 8, 61–66 (1971)
COLLATZ, L.: The numerical treatment of differential equations, Springer-Verlag, 1960
HENRICI, P.: Discrete variable methods in ordinary differential equations. John Wiley, New York 1962
HUNG, H.S.: The numerical solution of differential and integral equations by spline functions. M.R.C. Tech. Summary Report, 1053, Madison, 1970
LOSCALZO, F.R.: On the use of spline functions for the numerical solution of ordinary differential equations. Ph.D. Thesis, Univ. of Wisconsin, Madison, 1968.
LOSCALZO, F.R., TALBOT, T.D.: Spline function approximations for solutions of ordinary differential equations. SIAM J. Numer. Anal. 4, 433–445, (1967)
MICULA, Gh.: Approximate integration of systems of differential equations by spline functions. Studia Univ. Babes-Bolyai Cluj, Series Mathematica-Mechanica Fasc. 2, 27–39 (1971)
MICULA, Gh.: Fonctions spline d'approximation pour les solution des systèmes d'équations différentielles. Anal. St. Univ. Al. J. Cuza Iasi, 27, 139–155 (1971)
MICULA, Gh.: Contributions to the numerical solution of differential equations by spline functions. (Rumanian). Ph.D. Thesis, University of Cluj, 1971
MICULA, Gh.: Spline functions approximating the solution of nonlinear differential equation of nth order. Z.A.M.M., 52, 189–190 (1972)
MICULA, Gh.: Spline functions of higher degree of approximation for solutions of systems of differential equations (Rumanian). Studia Univ. Babes-Bolyai Cluj, Series Mathematica-Mechanica, Fasc. 1, 21–32 (1972)
MICULA, Gh.: Numerical integration of differential equation y(n)=f(x,y) by spline function. Rev. Roum. Math. Pures et Appl. (Bucarest), 17, 1385–1390 (1972)
MICULA, Gh.: Approximate solution of the differential equation y"=f(x,y)‥ with spline function. Math. of Computation, New York, 27, Nr. 124, 1973
MICULA, Gh.: The numerical solution of Volterra integro-differential equations by spline functions (to appear, Rev. Roum. Math. Pures et Appl. Bucarest, 1974).
MICULA, Gh.: Deficient spline approximate solutions to linear differential equations of the second order. (To appear, Mathematica, Cluj, 1973)
SCHULTZ, M.H. and VARGA, R.S.: L-splines, Numer. Math. 10, 345–369 (1967)
SWARTZ, B.K.: O(h2n+2−1) bounds of spline interpolation errors, Bull. Amer. Math. Soc. 74, 1072–1078 (1968)
Editor information
Rights and permissions
Copyright information
© 1974 Springer-Verlag
About this paper
Cite this paper
Micula, G. (1974). Die numerische Lösung nichtlinearer Differentialgleichungen unter Verwendung von Spline-Funktionen. In: Ansorge, R., Törnig, W. (eds) Numerische Behandlung nichtlinearer Integrodifferential-und Differentialgleichungen. Lecture Notes in Mathematics, vol 395. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060664
Download citation
DOI: https://doi.org/10.1007/BFb0060664
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-06832-7
Online ISBN: 978-3-540-37771-9
eBook Packages: Springer Book Archive