The numerical methods for solving Euler system of equations in reproducing kernel space \(H^2(R)\) (Q2732186)

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scientific article; zbMATH DE number 1623342
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The numerical methods for solving Euler system of equations in reproducing kernel space \(H^2(R)\)
scientific article; zbMATH DE number 1623342

    Statements

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    23 July 2001
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    reproducing kernel space
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    finite difference method
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    Euler system of equations
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    stability
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    wavelet
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    The numerical methods for solving Euler system of equations in reproducing kernel space \(H^2(R)\) (English)
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    The authors present a new method by means of the theory of reproducing kernel space and finite difference method, to calculate the solution of the Euler system of equations. The results show that the method has many advantages, such as higher precision, better stability, less amount of calculation than any other methods, and the reproducing kernel function has good local properties and its derived function is a wavelet function.
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