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Optimal spline solutions of systems of ordinary differential equations

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Differential Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 957))

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References

  1. Copley, P. and L. L. Schumaker, On pLg-splines, J. Approximation Th. 23 (1978), 1–28.

    Article  MathSciNet  MATH  Google Scholar 

  2. Eidson, H. D. and L. L. Schumaker, Spline solution of linear initial and boundary-value problems, in ISNM 32, Birkhäuser-Verlag, 1976, 67–80.

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  3. Eidson, H. D. and L. L. Schumaker, Computation of g-splines via a factorization method, Comm. A.C.M. 17 (1974), 526–530.

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  4. Golomb, M., Spline approximations to the solution of two-point boundary-value problems, MRC report 1066, Math. Research Center, U. of Wisconsin, 1970.

    Google Scholar 

  5. Golomb, M. and H. F. Weinberger, Optimal approximations and error bounds, in On Numerical Approximation, R. E. Langer, ed., U. Wisconsin Press, 1959, 117–190.

    Google Scholar 

  6. Jerome, J. W. and L. L. Schumaker, On Lg-splines, J. Approximation Th. 2 (1969), 29–49.

    Article  MathSciNet  MATH  Google Scholar 

  7. Munteanu, M. J. and L. L. Schumaker, On a method of Carasso and Laurent for constructing interpolating splines, Math. Comp. 27 (1973), 317–325.

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  8. Schumaker, L. L., Spline Functions: Basic Theory, Wiley Interscience, 1981.

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  9. Sidhu, G. S. and H. L. Weinert, Vector-valued Lg-splines, J. Math. Anal. Appl. 70 (1979), 505–529.

    Article  MathSciNet  MATH  Google Scholar 

  10. Varga, R. S., Error bounds for spline interpolation, in Approximations with Special Emphasis on Spline Functions, I. J. Schoenberg, ed., Academic Press, N.Y., 1969, 367–388.

    Google Scholar 

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Djairo Guedes de Figueiredo Chaim Samuel Hönig

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© 1982 Springer-Verlag

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Schumaker, L.L. (1982). Optimal spline solutions of systems of ordinary differential equations. In: Guedes de Figueiredo, D., Hönig, C.S. (eds) Differential Equations. Lecture Notes in Mathematics, vol 957. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066243

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  • DOI: https://doi.org/10.1007/BFb0066243

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11951-7

  • Online ISBN: 978-3-540-39539-3

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