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Transparent boundary conditions for a wide-angle approximation of the one-way Helmholtz equation - MaRDI portal

Transparent boundary conditions for a wide-angle approximation of the one-way Helmholtz equation (Q5928912)

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scientific article; zbMATH DE number 1584520
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Transparent boundary conditions for a wide-angle approximation of the one-way Helmholtz equation
scientific article; zbMATH DE number 1584520

    Statements

    Transparent boundary conditions for a wide-angle approximation of the one-way Helmholtz equation (English)
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    16 December 2001
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    Mikusinski's operational calculus
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    transparent boundary conditions
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    wide-angle approximation
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    one-way Helmholtz equation
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    The authors apply Mikusinski's operational calculus in order to derive transparent boundary conditions for the wide-angle approximation NEWLINE\[NEWLINEv'= {i\sqrt\mu\over 2} \Biggl[\Biggl({P-\mu\over \mu}\Biggr)- {1\over 4} \Biggl({P-\mu\over \mu}\Biggr)^2\Biggr] v,\quad v(0)= v_0NEWLINE\]NEWLINE of the one-way Helmholtz equation.
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