Construction of higher-order algebraic one-step schemes in stiff BVPs

DOI10.1016/0168-9274(93)90143-FzbMath0790.65060MaRDI QIDQ1308576

Zhen Mei, Bernhard A. Schmitt

Publication date: 23 June 1994

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

zbMATH Keywords

convergencesingular perturbationnumerical testsimplicit Runge-Kutta methodhigher-order algebraic one-step schemessquare root trapezoidal schemestiff boundary value problemtwo-stage 4-th order Lobatto schemes

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Singular perturbations for ordinary differential equations (34E15) Multiple scale methods for ordinary differential equations (34E13)

Related Items (1)

A survey of numerical techniques for solving singularly perturbed ordinary differential equations

Cites Work

• An Algebraic Approximation for the Matrix Exponential in Singularly Perturbed Boundary Value Problems
• Krylov Approximations for Matrix Square Roots in Stiff Boundary Value Problems
• On Collocation Implementation for Singularly Perturbed Two-Point Problems
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