Stability properties of non-rationally stabilized collocation schemes for stiff boundary value problems

DOI10.1016/0168-9274(93)90142-EzbMath0785.65090MaRDI QIDQ1308575

Karl-Heinz Schild

Publication date: 20 December 1993

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

boundary value problemscollocationfirst-order systemsstiffnon-rational stability functionsquare root trapezoidal scheme

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Cites Work

• Unnamed Item
• The equivalence of B-stability and A-stability
• Perturbed collocation and Runge-Kutta methods
• An Algebraic Approximation for the Matrix Exponential in Singularly Perturbed Boundary Value Problems

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