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Discrete \(C^1\) convergence of linear multistep methods
J. Comput. Appl. Math., 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Variable Stepsizes in Symmetric Linear Multistep Methods
2001It is well known the great deal of advantages of integrating reversible systems with symmetric methods. The correct qualitative behaviour is imitated, which leads also to quantitative advantageous properties with respect to the errors and their growth with time.
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Improved Accuracy of Linear Multistep Methods
Applied Mathematics & Information Sciences, 2013We present a technique for improving the accuracy of a given multistep method. We first propose a new formulation of the -method providing a general framework for studying stability and allowing to select the appropriate values of the parameter that increase the order of accuracy.
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Linear Multistep Methods for Volterra Integro-Differential Equations
Journal of the ACM, 1969The Dahlquist stability analysis for ordinary differential equations is extended to the case of Volterra integro-differential equations. Thus the standard multistep methods can be generalized to furnish algorithms for solving integro-differential equations. Special starting procedures are discussed, and some numerical examples are presented.
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A criterion forA(α)-stability of linear multistep methods
BIT, 1969Some easy-to-check conditions are given which together are sufficient forA(α)-stability. As an application the greatest α's are determined which giveA(α)-stability for the differentiation formulae withk=3, 4, 5 and 6.
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Stability of linear multistep methods for delay integro-differential equations
Computers and Mathematics With Applications, 2008Chengming Huang
exaly
The improved linear multistep methods for differential equations with piecewise continuous arguments
Applied Mathematics and Computation, 2010X Liu
exaly
Algorithms for CQ: Linear Multistep Methods
2022Lehel Banjai, Francisco-Javier Sayas
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