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Numerical pseudodifferential operator and Fourier regularization - MaRDI portal

Numerical pseudodifferential operator and Fourier regularization (Q609551)

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scientific article; zbMATH DE number 5822005
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Numerical pseudodifferential operator and Fourier regularization
scientific article; zbMATH DE number 5822005

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    Numerical pseudodifferential operator and Fourier regularization (English)
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    1 December 2010
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    The class of ill-posed problems of the form \[ \frac{1}{2\pi}\int_{R}e^{ix\xi}a(\xi)\hat{u}(\xi)d\xi =f ( x), \] where \(\hat{u}(\xi)\) is the Fourier transform of the function \( u(x)\) , is approximately solved using the Fourier regularization method.
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    Improperly posed problem
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    Fourier transform
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    inverse problem
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    regularization method
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    numerical pseudodifferential operators
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    Fourier regularization
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    ill-posed problems
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