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Demonstrates a neural-network method for Green's function in elliptic problems, suggesting effective solutions for complex equations.
A neural-network method is proposed for constructing the Green's function of a two-dimensional elliptic operator in divergence form with a variable coefficient. The neural-network Green's function is used as the kernel of integral equations in the method of discrete singularities.
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Д. Н. Никольский (2026) studied this question.
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