Geodesic
Transfer of boundary conditions for difference equations
Applications of Mathematics, Tome 45 (2000) no. 6, pp. 469-479 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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It is well-known that the idea of transferring boundary conditions offers a universal and, in addition, elementary means how to investigate almost all methods for solving boundary value problems for ordinary differential equations. The aim of this paper is to show that the same approach works also for discrete problems, i.e., for difference equations. Moreover, it will be found out that some results of this kind may be obtained also for some particular two-dimensional problems.
It is well-known that the idea of transferring boundary conditions offers a universal and, in addition, elementary means how to investigate almost all methods for solving boundary value problems for ordinary differential equations. The aim of this paper is to show that the same approach works also for discrete problems, i.e., for difference equations. Moreover, it will be found out that some results of this kind may be obtained also for some particular two-dimensional problems.
DOI : 10.1023/A:1022385517615
Classification : 35J05, 39A10, 65F50, 65N06, 65N22, 65Q05
Keywords: difference equation; sparse matrices; boundary value problems 
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Vitásek, Emil. Transfer of boundary conditions for difference equations. Applications of Mathematics, Tome 45 (2000) no. 6, pp. 469-479. doi: 10.1023/A:1022385517615

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