论文信息 - An extension of the applicability of iterated deffered corrections

An extension of the applicability of iterated deffered corrections

A new way of estimating local discretization errors (based on an idea due to P. E. Zadunaisky) is introduced. If error estimates obtained by this method are used in connection with the general class of iterated deferred correction algorithms, they lead to an extension of the domain of applicability, when compared with the variants used by Fox and Pereyra.

Christoph W. Ueberhuber | Reinhard Frank | Joerg Hertling

[1] P. E. Zadunaisky. A method for the estimation of errors propagated in the numerical solution of a system of ordinary differential equations , 1966 .

[2] J. Gillis,et al. Numerical Solution of Ordinary and Partial Differential Equations , 1963 .

[3] Reinhard Frank,et al. The method of Iterated Defect-Correction and its application to two-point boundary value problems , 1976 .

[4] James W. Daniel,et al. Implementing Deferred Corrections for Numerov's Difference Method for Second-Order Two-Point Boundary-Value Problems, , 1975 .

[5] Victor Pereyna. Iterated deferred corrections for nonlinear boundary value problems , 1968 .

[6] H. Keller. Numerical Solution of Two Point Boundary Value Problems , 1976 .

[7] V. Pereyra,et al. BOUNDARY PROBLEM SOLVERS FOR FIRST ORDER SYSTEMS BASED ON DEFERRED CORRECTIONS , 1975 .

[8] V. Pereyra. On improving an approximate solution of a functional equation by deferred corrections , 1966 .

[9] Hans J. Stetter. Economical Global Error Estimation , 1974 .

[10] Error Estimation and Iterative Improvement for the Numerical Solution of Operator Equations. , 1976 .

[11] Victor Pereyra. Iterated deferred corrections for nonlinear operator equations , 1967 .

[12] L. Fox. The Numerical Solution of Two-Point Boundary Problems in Ordinary Differential Equations , 1957 .