Summary
Calogero recently proposed a new and very powerful method for the solution of Sturm-Liouville eigenvalue problems based on Lagrangian differentiation. In this paper, I present some results of a numerical investigation of Calogero's method for physically interesting problems. I then show that one can «invert» his differentiation technique to obtain a flexible, factorially convergent Lagrangian integration scheme which should be useful in a variety of problems,e.g., solution of integral equations.
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F. Calogero:Lett. Nuovo Cimento,37, 9 (1983).
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M. Abramowitz andI. A. Stegun:Handbook of Mathematical Functions (New York, N. Y., 1972), table 9.5.
K. J. Miller andM. G. Olsson:Phys. Rev. D,25, 2383 (1982).
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Durand, L. Erratum to: Lagrangian differentiation, integration and eigenvalues problems. Lett. Nuovo Cimento 38, 311–317 (1983). https://doi.org/10.1007/BF02785999
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DOI: https://doi.org/10.1007/BF02785999