Circulant matrix methods for the numerical solution of partial differential equations by FFT convolutions (Q1103351)

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scientific article; zbMATH DE number 4052934
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Circulant matrix methods for the numerical solution of partial differential equations by FFT convolutions
scientific article; zbMATH DE number 4052934

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    Circulant matrix methods for the numerical solution of partial differential equations by FFT convolutions (English)
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    1988
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    For partial differential equations with boundary conditions defined on irregularly shaped boundaries, finite difference methods are described that are based on embedding the region into a cyclic region and using circulant meshes. The resulting linear systems are thus solved using fast Fourier transforms and circulant matrix techniques.
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    Laplace equation
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    irregularly shaped boundaries
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    finite difference methods
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    circulant meshes
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    fast Fourier transforms
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    circulant matrix techniques
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