Invariant imbedding and the calculation of internal values

DOI10.1016/0022-247X(69)90114-0zbMath0186.41202OpenAlexW2093584782MaRDI QIDQ2536861

Melvin R. Scott

Publication date: 1969

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

Full work available at URL: https://doi.org/10.1016/0022-247x(69)90114-0

zbMATH Keywords

ordinary differential equations

Related Items (15)

An automatic error-control technique for computation of eigenlengths ⋮ A comparative study of invariant imbedding and superposition ⋮ Invariant imbedding applied to homogeneous two-point boundary-value problems with a singularity of the first kind ⋮ Computation of Green's functions for boundary value problems with Mathematica ⋮ An initial value method for the eigenvalue problem for systems of ordinary differential equations ⋮ Invariant imbedding and Riccati transformations ⋮ A comparison of several invariant imbedding algorithms for the solution of two-point boundary-value problems ⋮ A new derivation of the Scott formulation of invariant imbedding ⋮ The conversion of Fredholm integral equations to equivalent Cauchy problems ⋮ The relationship between two variants of invariant imbedding ⋮ Internal values in particle transport by the method of invariant imbedding ⋮ Invariant imbedding of linear partial differential equations via generalized Riccati transformations ⋮ Some relationships between Green's functions and invariant imbedding ⋮ An initial-value method for the eigenvalue problem for differential equations with nonseparated boundary conditions ⋮ A useful device for certain boundary-value problems

Cites Work

• Invariant imbedding and transport problems with internal sources
• Invariant imbedding and the calculation of eigenvalues for Sturm- Liouville systems
• Invariant imbedding and the numerical integration of boundary-value problems for unstable linear systems of ordinary differential equations
• Some Recent Developments in Invariant Imbedding with Applications

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