Full range solution of half space neutron transport problem

DOI10.1007/BF00952255zbMath0845.65074MaRDI QIDQ1805089

Yanyan Li

Publication date: 11 May 1995

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

ill-posed problemmechanical quadraturescase \(X\)-functionfull-range eigenfunction expansionhalf space neutron transport problemhalf-range eigenfunction expansion

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Transport processes in time-dependent statistical mechanics (82C70) Numerical methods for ill-posed problems for integral equations (65R30) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

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Cites Work

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• A course in \(H_{\infty}\) control theory
• Application of orthogonality relations to singular integral equations
• Half-range completeness for the Fokker-Planck equation. I
• Half-range solutions of indefinite Sturm-Liouville problems
• Boundary value problems in abstract kinetic theory
• A discretized spectral approximation in neutron transport theory. Some numerical considerations.
• Orthogonality of Case's eigenfunctions in one-speed transport theory
• On a discretised spectral approximation in neutron transport theory

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