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Adams predictor–corrector method for solving uncertain differential equation

Computational and Applied Mathematics, 2021
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Gu, Yajing, Zhu, Yuanguo
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Predictor-Corrector Methods Using Updating

1990
In iterative methods for numerically finding zero-points of a smooth map F : R N → R N it is often preferable to avoid the costly recalculation and decomposition of the Jacobian F′ at each iteration by using an approximation to F′. This results in sacrificing quadratic convergence in exchange for a superlinear convergence which is nearly as good, or a ...
Eugene L. Allgower, Kurt Georg
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A predictor–corrector method for structural nonlinear analysis

Computer Methods in Applied Mechanics and Engineering, 2001
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Kim, Jong Hoon, Kim, Yong Hyup
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An Application of Modified Predictor-Corrector Method

Computer Technology and Applications, 2004
The explicit numerical integration method, introduced and proposed in the paper given by Chiou and Wu [1], is further developed. The method is based on the relationship that m-step Adams-Moulton method is linear convex combination of the (m − 1)-step Adams-Moulton and m-step Adams-Bashforth method with a fixed weighting coefficients.
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Stability ordinates of Adams predictor-corrector methods

BIT Numerical Mathematics, 2014
The article contains a qualitative analysis of the root locus curve (see [\textit{E. Hairer} and \textit{G. Wanner}, Solving ordinary differential equations. II: Stiff and differential-algebraic problems. Reprint of the 1996 2nd revised ed. Reprint of the 1996 Berlin: Springer (2010; Zbl 1192.65097), p.
Ghrist, Michelle L.   +2 more
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Predictor–corrector methods for general mixed quasi variational inequalities

Applied Mathematics and Computation, 2004
The authors study a hybrid variational-like inequality which involves nonlinear mappings and a bi-function in Hilbert spaces. They suggest a family of fixed point type iterative algorithms based on an auxiliary problem technique for finding its solution.
Noor, Muhammad Aslam   +2 more
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Predictor–Corrector Methods for General Regularized Nonconvex Variational Inequalities

Journal of Optimization Theory and Applications, 2013
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Ansari, Qamrul Hasan, Balooee, Javad
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Cyclic composite multistep predictor-corrector methods

Proceedings of the 1969 24th national conference on -, 1969
Multistep predictor-corrector methods are commonly used for the numerical solution of ordinary differential equations. In its simplest form a k-step method with accuracy of order exceeding k + 2 is unstable. Methods such as those of Gragg and Stetter and of Butcher obtain high accuracy while retaining stability.
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Predictor‐corrector methods for parabolic partial differential equations

International Journal for Numerical Methods in Engineering, 1983
AbstractIn this paper we extend predictor‐corrector methods, commonly used for the numerical solution of ordinary differential equations (o.d.e.s), to parabolic partial differential equations (p.d.e.s), typically of the form ut = auxx + ƒ(u, ux, x, t).We describe linear multistep methods for p.d.e.s, the nonlinear algebraic equations arising from ...
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Finding special points using matrix-free predictor–corrector methods

Applied Mathematics and Computation, 2007
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Siyyam, Hani I., Samarah, Mohamad A.
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