A numerical method for linear two-point boundary-value problems using compound matrices

DOI10.1016/0021-9991(79)90028-7zbMath0484.65053OpenAlexW2048681097MaRDI QIDQ1163849

B. S. Ng, W. H. Reid

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0021-9991(79)90028-7

zbMATH Keywords

compound matricesfourth-order equationsunstable problemsinitial-value method

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (16)

Euler Versus Lagrange: The Role of Coordinates in Practical Evans-Function Computations ⋮ Numerical solution of eigenvalue problems using the compound matrix method ⋮ A Chebyshev collocation method for solving two-phase flow stability problems ⋮ Evans function computation for the stability of travelling waves ⋮ Linear stability of natural convection in a multilayer system of fluid and porous layers with internal heat sources ⋮ Root Following in Evans Function Computation ⋮ Stability of travelling waves in a \textit{Wolbachia} invasion ⋮ Evaluation of eigenfunctions from compound matrix variables in nonlinear elasticity. I: Fourth-order systems ⋮ Evaluation of eigenfunctions from compound matrix variables in nonlinear elasticity. II: Sixth-order systems ⋮ Numerical solution of eigenvalue problems using spectral techniques ⋮ Efficient computation of analytic bases in Evans function analysis of large systems ⋮ Numerical solution of two-point boundary value problems ⋮ An efficient shooting algorithm for Evans function calculations in large systems ⋮ Formulation and computational issues for stability of two-layer inelastic fluids ⋮ Self-weight buckling of thin elastic shells: the case of a spherical equatorial segment ⋮ The compound matrix method for ordinary differential systems

Cites Work

• Unnamed Item
• On the removal of the singularities from the Riccati method
• An initial value method for eigenvalue problems using compound matrices
• A useful device for certain boundary-value problems
• The Numerical Solution of Boundary Value Problems for Stiff Differential Equations
• The Numerical Solution of Linear Boundary Value Problems
• Solution of Ill-Conditioned linear Two-Point Boundary Value Problems by the Riccati Transformation

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