Geodesic
Discrete convergence of multi-step methods in eigenvalue problems for ordinary second-order differential equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 3, pp. 622-630

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Methods of functional analysis are used to prove the convergence of multi-step methods for solving eigenvalue problems for ordinary second-order differential equations. The convergence of both the eigenvalues and the eigenfunctions is considered. 
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     author = {E. Pfeifer},
     title = {Discrete convergence of multi-step methods in eigenvalue problems for ordinary second-order differential equations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     publisher = {mathdoc},
     volume = {19},
     number = {3},
     year = {1979},
     language = {de},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_3_a5/}
}
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E. Pfeifer. Discrete convergence of multi-step methods in eigenvalue problems for ordinary second-order differential equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 3, pp. 622-630. http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_3_a5/