Results 11 to 20 of about 14,327,559 (281)
Linear multistep methods with mildly varying coefficients [PDF]
Mathematics of Computation, 1970 Consideration of a common assumption in the theory of weak stability of linear multistep methods for ordinary differential equations leads to the study of a class of linear multistep methods with mildly varying coefficients. It is well known that, in the case of constant-coefficient methods, optimal stable methods suffer from weak ...
J. D. Lambert
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Contractivity-preserving implicit linear multistep methods [PDF]
Mathematics of Computation, 1989 We investigate contractivity properties of implicit linear multistep methods in the numerical solution of ordinary differential equations. The emphasis is on nonlinear and linear systems
H. W. J. Lenferink
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Finite element multistep multideriavative schemes for parabolic equations [PDF]
, 1976 The linear, homogeneous, parabolic equation is solved by applying finite element discretizations in space and A0 —stable, linear multistep, multiderivative (L.M.S.D.) methods in time. Such schemes are unconditionally stable. An error analysis establishes
Moore, P
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Finite element solutions to boundary value problems [PDF]
, 1976 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis consists of two distinct parts which deal with two-point boundary value problems and parabolic problems, respectively.
Moore, P
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Numerical Stability and Performance of Semi-Explicit and Semi-Implicit Predictor–Corrector Methods
Mathematics, 2022 Semi-implicit multistep methods are an efficient tool for solving large-scale ODE systems. This recently emerged technique is based on modified Adams–Bashforth–Moulton (ABM) methods.
Loïc Beuken +4 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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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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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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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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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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