Results 11 to 20 of about 64,667 (273)
Classical Theory of Linear Multistep Methods for Volterra Functional Differential Equations
Discrete Dynamics in Nature and Society, 2021 Based on the linear multistep methods for ordinary differential equations (ODEs) and the canonical interpolation theory that was presented by Shoufu Li who is exactly the second author of this paper, we propose the linear multistep methods for general ...
Yunfei Li, Shoufu Li
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Mathematics, 2022 When finding numerical solutions to stiff and nonstiff initial value problems using linear multistep methods, ill-conditioned systems are often encountered.
Richard Olatokunbo Akinola +3 more
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Interval versions for special kinds of explicit linear multistep methods
Results in Applied Mathematics, 2020 In classical theory of explicit linear multistep methods there are known special kinds of methods which have less function evaluations (in comparison to other multistep methods) and, nevertheless, they give the same accuracy (order) of the approximations
Andrzej Marciniak +1 more
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Implicit-Explicit multistep methods for hyperbolic systems with multiscale relaxation [PDF]
, 2020 We consider the development of high order space and time numerical methods based on Implicit-Explicit (IMEX) multistep time integrators for hyperbolic systems with relaxation. More specifically, we consider hyperbolic balance laws in which the convection
Albi, Giacomo +2 more
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On Extension the Stability Region of Implicit-Explicit Linear Multistep Methods for Ordinary Differential Equation [PDF]
مجلة التربية والعلم, 2013 Stability properties of implicit – explicit (IMEX) of linear multistep methods for ordinary differential equations are analyzed on the basis of stability regions defined by using scalar test equations.
Ghanim M. S. Abdullah Department of Mathematic
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Linear multistep methods for integrating reversible differential equations [PDF]
, 1999 This paper studies multistep methods for the integration of reversible dynamical systems, with particular emphasis on the planar Kepler problem.
Kang F., N. Wyn Evans, Scott Tremaine
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Linear Multistep Methods and Order Stars: Some Properties
Trends in Computational and Applied Mathematics, 2008 Order stars theory, introduced by Wanner et al (1978), have become a fundamental tool for understanding of order and stability properties of numerical methods.
J.C. Ferreira +3 more
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P-Stability of Linear Multistep Methods for Delay Retarded Differential Equations with Several Delays [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2011 This paper modifies the numerical solution of initial value problems of the Delay Differential Equations (DDEs) by making it deals with Retarded Differential Equations (RDEs) with several delays where are positive constants, and denote given ...
Abbas Al-Bayati +2 more
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上海师范大学学报. 自然科学版, 2021 This paper is concerned with the asymptotic stability of numerical methods applied to linear differential-algebraic equations. The coefficient matrices of the system are constant rectangular matrices.
SUN Leping
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Blended Linear Multistep Methods
ACM Transactions on Mathematical Software, 1977 The accuracy of linear multistep formulas suitable for stiff differential systems is limited. Greater accuracy can be attained by including higher derivatives in the formula, but this is not practical for all problems. It is possible however, to duplicate the absolute stability region for any given m-derivative multistep formula by taking a combination
Skeel, Robert D., Kong, Antony K.
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