A Numerical Framework for Integrating Deferred Correction Methods to Solve High Order Collocation Formulations of ODEs

Recent analysis and numerical experiments show that the deferred correction methods are competitive numerical schemes for time dependent differential equations. These methods differ in the mathematical formulations, choices of collocation points, and numerical integration or differentiation strategi...

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Bibliographic Details
Published in:	Journal of scientific computing Vol. 68; no. 2; pp. 484 - 520
Main Authors:	Qu, Wenzhen, Brandon, Namdi, Chen, Dangxing, Huang, Jingfang, Kress, Tyler
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.08.2016 Springer Nature B.V
Subjects:	Algorithms Approximation Boundary value problems Collocation Computational Mathematics and Numerical Analysis Convergence Differential equations Error correction Error reduction Mathematical analysis Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Numerical analysis Numerical integration Numerical methods Ordinary differential equations Physical properties Simulation Theoretical Time dependence Time integration Deferred correction methods Krylov subspace methods 65M70 Collocation formulations Preconditioners 65B05 Jacobian-free Newton–Krylov methods 65M12
ISSN:	0885-7474, 1573-7691
Online Access:	Get full text
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