The invariant imbedding method for transport problems. II: Resolvent in photon diffusion equation

DOI10.1016/0022-247X(61)90063-4zbMath0108.23009MaRDI QIDQ1130661

Sueo Ueno

Publication date: 1961

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

mechanics of particles and systems

Related Items

Probabilistic approach for rarefied gas dynamics: Linearized Couette flow, A Representation for the Solution of Fredholm Integral Equations, Photon diffusion and invariant imbedding, Sobolev's \(\Phi\)-function of radiative transfer in planar and spherical scattering media, Invariant imbedding and the resolvent of Fredholm integral equations with variable parameters, Invariant imbedding and radiation dosimetry. II: Integral recurrence relations for the finite order scattering and transmission functions, Stochastic approach to the Cauchy problem of linearized Couette flow

Cites Work

• Stochastic equations in radiative transfer by invariant imbedding method
• ON SOLUTIONS OF THE NON-HOMOGENEOUS FORM OF MILNE'S FIRST INTEGRAL EQUATION
• ON THE PRINCIPLE OF INVARIANT IMBEDDING AND PROPAGATION THROUGH INHOMOGENEOUS MEDIA
• A Mathematical Verification of the Principle of Invariance as Applied to Completely Non-Coherent Scattering and to Interlocked Multiplet Lines
• ON THE PRINCIPLE OF INVARIANT IMBEDDING AND ONE-DIMENSIONAL NEUTRON MULTIPLICATION
• IVARIANT IMBEDDING RELATION FOR THE PRINCIPLES OF INVARIANCE
• FUNCTIONAL RELATIONS FOR THE R AND T OPERATORS ON PLANE-PARALLEL MEDIA
• The Probabilistic Method for Problems of Radiative Transfer. II. Milne's Problem.
• Coherent and Non-coherent Scattering in the Theory of Line Formation
• On a Problem in the Theory of Formation of Absorption Lines
• On the Intensities of Interlocked Multiplet Lines in the Milne-eddington Model
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