Variable-step boundary value methods based on reverse Adams schemes and their grid redistribution

DOI10.1016/0168-9274(95)00044-UzbMath0834.65064OpenAlexW2025417869MaRDI QIDQ1902060

W. L. Golik, Francesca Mazzia, Pierluigi Amodio

Publication date: 31 March 1996

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

Full work available at URL: https://doi.org/10.1016/0168-9274(95)00044-u

zbMATH Keywords

algorithmstabilityconvergenceerror boundsinitial value problemconditioningboundary layersgrid redistributionreverse Adams schemesvariable-step boundary value methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) 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) Error bounds for numerical methods for ordinary differential equations (65L70) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items

Unnamed Item ⋮ Boundary value methods based on Adams-type methods ⋮ High-order multistep methods for boundary value problems ⋮ A new mesh selection strategy for ODEs ⋮ Generalized second derivative linear multistep methods based on the methods of Enright ⋮ Unnamed Item ⋮ Boundary value technique for initial value problems based on Adams-type second derivative methods ⋮ Boundary value technique for initial value problems with continuous second derivative multistep method of Enright ⋮ Trigonometric symmetric boundary value method for oscillating solutions including the sine-Gordon and Poisson equations ⋮ Multi-block generalized Adams-type integration methods for differential algebraic equations

Uses Software

• RODAS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Boundary value methods and BV-stability in the solution of initial value problems
• Numerical methods for second order singular perturbation problems
• Mesh selection for discrete solution of boundary problems in ordinary differential equations
• Stability of some boundary value methods for the solution of initial value problems
• A parallel preconditioning technique for boundary value methods
• Stability properties of some boundary value methods
• Order-increasing grid adaption for Runge-Kutta methods applied to two- point boundary value problems
• Boundary value methods based on Adams-type methods
• Parallel iterative solvers for boundary value methods
• Boundary Value Techniques for Initial Value Problems in Ordinary Differential Equations
• On Testing a Subroutine for the Numerical Integration of Ordinary Differential Equations
• Waveform Iteration and the Shifted Picard Splitting
• Stability and convergence of boundary value methods for solving ODE