Some Recent Developments in Invariant Imbedding with Applications

DOI10.1063/1.1704294zbMath0196.11501OpenAlexW2041481507MaRDI QIDQ5592459

G. Milton Wing, Paul. B. Bailey

Publication date: 1965

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1704294

zbMATH Keywords

partial differential equations

Related Items (15)

Suboptimal control of fixed-end-point minimum energy problem via singular perturbation theory ⋮ Invariant imbedding and Riccati transformations ⋮ A comparison of several invariant imbedding algorithms for the solution of two-point boundary-value problems ⋮ Asymptotic phase amplitude for a modified Coulomb potential in scattering theory. An application of invariant imbedding ⋮ Invariant imbedding and transport problems with internal sources ⋮ A numerical algorithm suggested by problems of transport in periodic media ⋮ Dynamic programming and linear partial differential equations ⋮ The Application of Invariant Imbedding to the Solution of Linear Two-Point Boundary Value Problems on an Infinite Interval ⋮ A generalized invariant imbedding equation ⋮ Invariant imbedding and the calculation of internal values ⋮ Solution of a certain class of nonlinear two-point boundary value problems ⋮ Multipoint boundary value problems and generalized invariant imbedding equations ⋮ A generalized invariant imbedding equation. II ⋮ Internal values in particle transport by the method of invariant imbedding ⋮ Invariant imbedding for differential equations with integral boundary conditions

Cites Work

• 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'
• INVARIANT IMBEDDING AND THE REDUCTION OF TWO-POINT BOUNDARY VALUE PROBLEMS TO INITIAL VALUE PROBLEMS
• ON THE FUNDAMENTAL EQUATIONS OF INVARIANT IMBEDDING, I
• Invariant Imbedding and Mathematical Physics. I. Particle Processes

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