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A class of one-dimensional variational inequalities in difference schemes of arbitrary given degree of accuracy - MaRDI portal

A class of one-dimensional variational inequalities in difference schemes of arbitrary given degree of accuracy (Q1315069)

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scientific article; zbMATH DE number 509986
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A class of one-dimensional variational inequalities in difference schemes of arbitrary given degree of accuracy
scientific article; zbMATH DE number 509986

    Statements

    A class of one-dimensional variational inequalities in difference schemes of arbitrary given degree of accuracy (English)
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    7 March 1994
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    A new class of one-dimensional variational inequalities with obstruction on the boundary is investigated and a theorem of existence and uniqueness of solution is proved. The investigated properties of the exact solution give an opportunity to construct the three-point difference relations for this solution (exact difference scheme). A numerical three-point approximation of arbitrary given degree of accuracy (truncated difference scheme) is proposed.
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    exact difference scheme
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    truncated difference scheme
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    variational inequalities
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    three-point difference relations
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