ON THE PRINCIPLE OF INVARIANT IMBEDDING AND PROPAGATION THROUGH INHOMOGENEOUS MEDIA

From MaRDI portal
Publication:3236939

DOI10.1073/pnas.42.9.629zbMath0071.41605OpenAlexW2070671343WikidataQ37688726 ScholiaQ37688726MaRDI QIDQ3236939

Richard Bellman, Robert Kalabu

Publication date: 1956

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.42.9.629




Related Items (26)

The four-ports dynamic systemScattering theory and linear state-space estimationA note on nonlinear summability techniques in invariant imbeddingInvariant imbedding and time-dependent diffuse reflection of a pencil of radiation by a finite inhomogeneous flat layer. IOn the diffuse reflection of parallel rays by an inhomogeneous flat layer as a limiting processThe invariant imbedding method for transport problems. II: Resolvent in photon diffusion equationThe probabilistic method for problems of radiative transfer. XIII: Diffusion matrixInvariant embedding method for the solution of coupled Burgers' equationsA mathematical model of a cloudTheoretical considerations on a finite-element method for the computation of three-dimensional space-time elastodynamic wave fieldsThe first three orders of scattering in vertically inhomogeneous scattering-absorbing mediaInvariant imbedding and inverse problems with applications to radiative transferInvariant imbedding and nonpredictive operatorsInvariant Imbedding and Mathematical Physics. I. Particle ProcessesA comparison of several invariant imbedding algorithms for the solution of two-point boundary-value problemsFunctional equations in emitting atmospheresRelationship between solutions of families of two-point boundary value problems and Cauchy problemsApplication of invariant imbedding to linear multipoint boundary value problems with general boundary conditionsVerification of the invariant imbedding method for certain Fredholm integral equationsCauchy and Fredholm methods for Euler equationsStochastic equations in radiative transfer by invariant imbedding methodOn the \(S\)- and \(T\)-functions of S. Chandrasekhar in arbitrary stratificationOn the time-dependent principle of invariance in a semi-infinite mediumWave equation with sources, invariant imbedding, and Bremmer series solutionsThe unified approach in a semi-infinite atmosphereBlue sky and hot piles: The evolution of radiative transfer theory from atmospheres to nuclear reactors




This page was built for publication: ON THE PRINCIPLE OF INVARIANT IMBEDDING AND PROPAGATION THROUGH INHOMOGENEOUS MEDIA