Invariant imbedding of linear partial differential equations via generalized Riccati transformations

DOI10.1016/0022-247X(71)90011-4zbMath0231.35003OpenAlexW2094184290MaRDI QIDQ2550495

Melvin R. Scott, Charles W. Maynard

Publication date: 1971

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(71)90011-4

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Linear first-order PDEs (35F05)

Related Items (3)

Some relationships between Green's functions and invariant imbedding ⋮ A note on initial-value formulations of elliptic boundary-value problems ⋮ Wave equation with sources, invariant imbedding, and Bremmer series solutions

Cites Work

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• Discrete invariant imbedding and elliptic boundary-value problems over irregular regions
• Invariant imbedding and the calculation of eigenvalues for Sturm- Liouville systems
• Invariant imbedding and the calculation of internal values
• Solution of a certain class of nonlinear two-point boundary value problems
• Internal values in particle transport by the method of invariant imbedding
• INVARIANT IMBEDDING AND THE REDUCTION OF TWO-POINT BOUNDARY VALUE PROBLEMS TO INITIAL VALUE PROBLEMS
• ON THE FUNDAMENTAL EQUATIONS OF INVARIANT IMBEDDING, I
• Numerical Solution of Unstable Initial Value Problems by Invariant Imbedding

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