Critical problem for finite slabs with sinusoidally space-dependent scattering ratio

DOI10.1080/00411458508211682zbMath0633.65142OpenAlexW1966400314MaRDI QIDQ3771580

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Publication date: 1985

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411458508211682

zbMATH Keywords

collocation methodeigenvalueeigenfunctioncriticality problemintegral transport equationfinite slabChebyshev and Legendre orthogonal polynomialsreactor configurations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Transport processes in time-dependent statistical mechanics (82C70)

Cites Work

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• The special functions and their approximations. Vol. I, II
• Positivity and monotonicity properties of transport equations with spatially dependent cross sections
• Convergence of the Fn method for exponential atmospheres
• Solution of the neutron group-diffusion equations by orthogonal collocation with cubic hermite interpolants
• Application of the collocation method to the solution of the time-dependent neutron diffusion equation
• A collocation method for the neutron transport equation
• Asymptotic expansion of coulomb wave functions on the transition line
• The Use of Collocation as a Projection Method for Solving Linear Operator Equations
• A Chebyshev series method for the numerical solution of Fredholm integral equations

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