Geodesic
Multipoint Pad\'e approximants in the inverse Sturm--Liouville problem
Sbornik. Mathematics, Tome 73 (1992) no. 2, pp. 479-489

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A study is made of approximate solutions of the inverse Sturm–Liouville problem, based on a construction of multipoint Padé approximants. Corresponding convergence theorems are proved. 
@article{SM_1992_73_2_a10,
     author = {A. A. Gonchar and N. N. Novikova and G. M. Henkin},
     title = {Multipoint {Pad\'e} approximants in the inverse {Sturm--Liouville} problem},
     journal = {Sbornik. Mathematics},
     pages = {479--489},
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     volume = {73},
     number = {2},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1992_73_2_a10/}
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A. A. Gonchar; N. N. Novikova; G. M. Henkin. Multipoint Pad\'e approximants in the inverse Sturm--Liouville problem. Sbornik. Mathematics, Tome 73 (1992) no. 2, pp. 479-489. http://geodesic.mathdoc.fr/item/SM_1992_73_2_a10/