NANAApr 23, 2009

On one method of boundary value problem regularization by passage to the limit

arXiv:0904.3638
Originality Synthesis-oriented
AI Analysis

Provides a regularization method for a class of boundary value problems that are numerically intractable, but the approach is incremental and domain-specific.

The paper addresses boundary value problems with small parameters where numerical methods fail, proposing a limiting procedure that yields a simpler problem whose solution approximates the original.

For one class of boundary value problem depending on small parameter for which numerical methods for their solution are actually inapplicable, procedure of limiting problem acquisition which is much easier and which solution as much as close to the initial solution is described.

Foundations

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