Multidimensional Kagiwada-Kalaba method of invariant imbedding with general linear implicit boundary conditions

DOI10.1016/0022-247X(80)90262-0zbMath0437.34024OpenAlexW2066588592MaRDI QIDQ1141272

S. M. Roberts

Publication date: 1980

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(80)90262-0

zbMATH Keywords

multidimensional systemsKagiwada-Kalaba method of invariant imbeddinglinear implicit boundary conditions

Mathematics Subject Classification ID

Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Boundary value problems for ordinary differential equations (34B99)

Cites Work

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• Fundamental matrix and two-point boundary-value problems
• Direct use of the fundamental matrix in two-point boundary value problems
• Reduction and the Kagiwada-Kalaba method of invariant imbedding
• A comparison of several invariant imbedding algorithms for the solution of two-point boundary-value problems
• Simultaneous and sequential solution of a stiff differential equation system
• A new derivation of the Scott formulation of invariant imbedding
• Solution of Troesch's two-point boundary value problem by a combination of techniques
• On the Matrix Riccati Equation
• Invariant imbedding and the numerical integration of boundary-value problems for unstable linear systems of ordinary differential equations

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