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On a new iteration for solving Chandrasekhar's H-equation - MaRDI portal

On a new iteration for solving Chandrasekhar's H-equation (Q2747451)

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scientific article; zbMATH DE number 1657772
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English
On a new iteration for solving Chandrasekhar's H-equation
scientific article; zbMATH DE number 1657772

    Statements

    14 July 2002
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    Chandrasekhar's \(H\)-equation
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    radiative transfer
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    neutron transport
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    integral equations
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    contraction mapping
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    On a new iteration for solving Chandrasekhar's H-equation (English)
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    A new iteration procedure is introduced which yields a solution of the integral equation NEWLINE\[NEWLINEH(t)=1+\lambda H(t)\int^1_0 K(t,s) H(s) \psi(s)ds.NEWLINE\]NEWLINE Unlike earlier works, this procedure does not require positivity assumptions on \(\psi\) and does not put any restrictions on \(\lambda\), which is a real or complex number.
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