Invariant Imbedding and Mathematical Physics. I. Particle Processes
From MaRDI portal
Publication:3290627
DOI10.1063/1.1703663zbMath0105.23202OpenAlexW2003164020MaRDI QIDQ3290627
G. Milton Wing, Richard Bellman, Robert E. Kalaba
Publication date: 1960
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/f8d5cb801fa17fa26c81db8c21b5726a48538df5
Related Items
Scattering theory and linear state-space estimation ⋮ A note on nonlinear summability techniques in invariant imbedding ⋮ Invariant imbedding and time-dependent diffuse reflection of a pencil of radiation by a finite inhomogeneous flat layer. I ⋮ On the diffuse reflection of parallel rays by an inhomogeneous flat layer as a limiting process ⋮ Some Recent Developments in Invariant Imbedding with Applications ⋮ Some new mathematical features in cascade theory ⋮ A note on invariant imbedding and generalized semigroups ⋮ Sequent correlations in evolutionary stochastic point processes and its application to cascade theories ⋮ Parameter estimation for continuous-time models - a survey ⋮ Invariant imbedding and the continuation method: a comparison† ⋮ On a boundary value problem in the theory of urine formation ⋮ An age-dependent stochastic model for carcinogenesis ⋮ Invariant imbedding and variational principles in transport theory ⋮ More on C-fraction solutions to Riccati equations ⋮ Some directions of research in Dynamic Programming ⋮ A new method for solving eigenvalue problems ⋮ A Comparison of Radiances Generated by Selected Methods of Solving the Radiative-Transfer Equation ⋮ A comparison of several invariant imbedding algorithms for the solution of two-point boundary-value problems ⋮ Generalized Sobolev's phi function for the resolvent of a Milne-type integral equation with a degenerate kernel ⋮ On analogues of Poincaré-Lyapunov theory for multipoint boundary-value problems ⋮ One-parameter imbedding techniques for the solution of nonlinear boundary-value problems ⋮ Existence and uniqueness theorems in invariant imbedding. I: Conservation principles ⋮ Existence and uniqueness theorems in invariant imbedding. II: Convergence of a new difference algorithm ⋮ The existence and uniqueness of the solution to a problem in invariant imbedding ⋮ Asymptotic phase amplitude for a modified Coulomb potential in scattering theory. An application of invariant imbedding ⋮ Invariant imbedding and transport problems with internal sources ⋮ Invariant imbedding technique and age-dependent birth and death processes ⋮ Comparison of some methods used for process identification ⋮ Invariant imbedding, particle interaction, and conservation relations ⋮ Iterative methods for multiple slab transport models ⋮ Generalized invariant imbedding of transport theory ⋮ A rigorous derivation of some invariant imbedding equations of transport theory ⋮ A correction to some invariant imbedding equation of transport theory obtained by 'particle counting' ⋮ On the matrix Riccati equation of transport processes ⋮ Internal values in particle transport by the method of invariant imbedding ⋮ A note on the computation of diffuse reflection functions for spherical shells ⋮ Order-of-scattering theory for transport processes ⋮ Invariant imbedding and transport theory: A unified approach ⋮ Neutron branching processes ⋮ Principes of invariance in transport theory ⋮ On the \(S\)- and \(T\)-functions of S. Chandrasekhar in arbitrary stratification ⋮ Invariant Imbedding and Random Walk ⋮ Variation of Green's Functions ⋮ Blue sky and hot piles: The evolution of radiative transfer theory from atmospheres to nuclear reactors
Cites Work
- Solution of the linearized Boltzmann transport equation for the slab geometry
- A study of the solutions of the differential equation \(y^{(4)}+\lambda^2(xy+y)=0\) for large values of \(\lambda\)
- On age-dependent binary branching processes
- An unsymmetric operator arising in the theory of neutron diffusion
- ON THE PRINCIPLE OF INVARIANT IMBEDDING AND PROPAGATION THROUGH INHOMOGENEOUS MEDIA
- INVARIANT IMBEDDING, WAVE PROPAGATION, AND THE WKB APPROXIMATION
- IVARIANT IMBEDDING RELATION FOR THE PRINCIPLES OF INVARIANCE
- An asymptotic expansion in the theory of neutron transport
- REACTOR CRITICALITY IN TRANSPORT THEORY
- On the Theory of Age-Dependent Stochastic Branching Processes
- Stochastic Problems in Physics and Astronomy
- On the spectrum of an unsymmetric operator arising in the transport theory of neutrons