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- Eriksson, T., et al.
(author)
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Successive Encoding of Correlated Sources
- 1982
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Reports (other academic/artistic)abstract
- The encoding of a discrete memoryless multiple source for reconstruction of a sequence with is considered. We require that the encoding should be such that is encoded first without any consideration of , while in a seeond part of the encoding this latter sequence is encoded based on knowledge of the outcome of the first encoding. The resulting scheme is called successive encoding. We find general outer and inner bounds for the corresponding set of achievable rates along with a complete single letter characterization for the special case . Comparisons with the Slepian-Wolf problem [3] and the Ahlswede-Körner-Wyner side information problem [2 ], [9) are carried out.
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- Asadzadeh, Mohammad, 1952
(author)
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Analysis of a fully discrete scheme for neutron transport in two-dimensional geometry.
- 1986
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In: SIAM Journal on Numerical Analysis. ; 23:3, s. 543-561
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Journal article (peer-reviewed)abstract
- We derive error estimates for a fully discrete scheme for the numerical solution of the neutron transport equation in two-dimensional Cartesian geometry obtained by using a special quadrature rule for the angular variable and the discontinuous Galerkin finite element method with piecewise linear trial function for the space variable
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- Asadzadeh, Mohammad, 1952
(author)
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$L_p$ and eigenvalue error estimates for the discrete ordinates method for two-dimensional neutron transport
- 1989
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In: SIAM Journal on Numerical Analysis. ; 26:1, s. 66-87
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Journal article (peer-reviewed)abstract
- The convergence of the discrete ordinates method is studied for angular discretization of the neutron transport equation for a two-dimensional model problem with the constant total cross section and isotropic scattering. Considering a symmetric set of quadrature points on the unit circle, error estimates are derived for the scalar flux in $L_P $ norms for $1 \leqq p \leqq \infty $. A postprocessing procedure giving improved $L_\infty $ estimates is also analyzed. Finally error estimates are given for simple isolated eigenvalues of the solution operator.
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