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The defect correction principle and discretization methods

Data up to Jan 2025

Published1978
Citations278
References21

Total Citations Per Year

Abstract

References (21)

Analysis of Discretization Methods for Ordinary Differential Equations

1973 • 457 citations

Analysis of Discretization Methods for Ordinary Differential Equations

1974 • 429 citations

The Numerical Solution of Two-Point Boundary Problems in Ordinary Differential Equations.

1959 • 269 citations

On the estimation of errors propagated in the numerical integration of ordinary differential equations

1976 • 129 citations

On improving an approximate solution of a functional equation by deferred corrections

1966 • 99 citations

Iterated deferred corrections for nonlinear operator equations

1967 • 99 citations

Numerical Solutions of Boundary Value Problems for Ordinary Differential Equations

1975 • 92 citations

Iterated defect correction for the efficient solution of stiff systems of ordinary differential equations

1977 • 90 citations

Iterated deferred corrections for nonlinear boundary value problems

1968 • 76 citations

A method for the estimation of errors propagated in the numerical solution of a system of ordinary differential equations

1966 • 64 citations

The method of Iterated Defect-Correction and its application to two-point boundary value problems

1976 • 51 citations

Economical Global Error Estimation

1974 • 51 citations

Global Error Estimation in Adams PC-Codes

1979 • 20 citations

An extension of the applicability of iterated deffered corrections

1977 • 18 citations

Error Estimation and Iterative Improvement for the Numerical Solution of Operator Equations.

1976 • 15 citations

BOUNDARY PROBLEM SOLVERS FOR FIRST ORDER SYSTEMS BASED ON DEFERRED CORRECTIONS

1975 • 15 citations

Schätzungen des Globalen Diskretisierungsfehlers bei Runge-Kutta-Methoden

1975 • 15 citations

On the Accuracy in the Numerical Computation of Orbits

1970 • 14 citations

Collocation and iterated defect correction

1978 • 13 citations

Periodic orbits, stability and resonances

1971 • 10 citations

Deleted Work

1955 • 0 citations

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