Boundary value methods based on Adams-type methods

DOI10.1016/0168-9274(95)00041-RzbMath0834.65065MaRDI QIDQ1902061

Francesca Mazzia, Pierluigi Amodio

Publication date: 31 March 1996

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

zbMATH Keywords

numerical experiments\(A\)-stabilityboundary value methodsAdams multistep methodreverse Adams methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (22)

On some multi-block reverse Adams methods for stiff problems ⋮ Approximations of Sturm-Liouville eigenvalues using boundary value methods ⋮ Unnamed Item ⋮ Variable-step boundary value methods based on reverse Adams schemes and their grid redistribution ⋮ High-order multistep methods for boundary value problems ⋮ Stability of some boundary value methods for IVPs ⋮ Convergence and stability of boundary value methods for ordinary differential equations ⋮ Parallel iterative solvers for boundary value methods ⋮ A kind of generalized backward differentiation formulae for solving fractional differential equations ⋮ Generalized second derivative linear multistep methods based on the methods of Enright ⋮ Block boundary value methods for solving Volterra integral and integro-differential equations ⋮ Boundary value methods for Volterra integral and integro-differential equations ⋮ A collocation boundary value method for linear Volterra integral equations ⋮ Two-Step Multi-Derivative Boundary Value Methods for Linear IVPs^∗ ⋮ Unnamed Item ⋮ Convergence and stability of extended block boundary value methods for Volterra delay integro-differential equations ⋮ Analysis of a Chebyshev-based backward differentiation formulae and relation with Runge–Kutta collocation methods ⋮ Block boundary value methods for delay differential equations ⋮ Boundary value technique for initial value problems based on Adams-type second derivative methods ⋮ Trigonometric symmetric boundary value method for oscillating solutions including the sine-Gordon and Poisson equations ⋮ Solving ordinary differential equations by generalized Adams methods: Properties and implementation techniques ⋮ Multi-block generalized Adams-type integration methods for differential algebraic equations

Uses Software

• RODAS

Cites Work

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• A parallel direct method for solving initial value problems for ordinary differential equations
• Parallel implementation of BVM methods
• Boundary value methods and BV-stability in the solution of initial value problems
• On the local error and the local truncation error of linear multistep methods
• 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
• Variable-step boundary value methods based on reverse Adams schemes and their grid redistribution
• Parallel block preconditioning for the solution of boundary value methods
• Two-step boundary value methods in the solution of ODEs
• Boundary Value Techniques for Initial Value Problems in Ordinary Differential Equations
• Waveform Iteration and the Shifted Picard Splitting
• Stability and convergence of boundary value methods for solving ODE
• An Analysis of "Boundary-Value Techniques" for Parabolic Problems

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