
AbstractWe prove a general convergence result for a multistep time‐discrete process equation image under very mild conditions on the function V. We discuss the application to boundary value‐ and boundary layer problems. Our proof is a straight‐forward argument without any concepts for stability or consistency.
Numerical solution of boundary value problems involving ordinary differential equations, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Finite difference and finite volume methods for ordinary differential equations, convergence, Nonlinear boundary value problems for ordinary differential equations, differential system, Stability and convergence of numerical methods for ordinary differential equations, multistep method
Numerical solution of boundary value problems involving ordinary differential equations, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Finite difference and finite volume methods for ordinary differential equations, convergence, Nonlinear boundary value problems for ordinary differential equations, differential system, Stability and convergence of numerical methods for ordinary differential equations, multistep method
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