Improved convergence theorems of Newton's method designed for the numerical verification for solutions of differential equations (Q861902)

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scientific article; zbMATH DE number 5121432
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Improved convergence theorems of Newton's method designed for the numerical verification for solutions of differential equations
scientific article; zbMATH DE number 5121432

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    Improved convergence theorems of Newton's method designed for the numerical verification for solutions of differential equations (English)
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    2 February 2007
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    Improved theorems on existence and uniqueness of solution of nonlinear elliptic equations are proved. A verification procedure for solutions is presented.
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    numerical verification
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    computational efficiency
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    nonlinear elliptic equations
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    finite element method
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