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Remote 1,5-Difunctionalization of Alkenes via a Sulfinyl-Smiles Rearrangement and Vinylcyclopropane Ring-Opening Cascade. [PDF]
Hu Y, Nitaj K, Nevado C.
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Facile and Sensitive Electrochemical Sensing of Nitrite in Aquaculture Based on a Fe<sub>3</sub>O<sub>4</sub>/STAB/Chitosan Nanocomposite. [PDF]
Dai Q, Zhang S, Zhang H, Zhang M, Yao G.
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Aryne Generation from Aryl Halides Via Photothermal Red-Light Activation. [PDF]
Preston-Herrera C +3 more
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Linear Multistep Methods as Irreducible General Linear Methods
BIT Numerical Mathematics, 2006This paper is concerned with the topic of stability for linear multistep methods (LMM's) in relation with associated general linear methods (GLM's). The authors show how to write an LMM as a GLM and prove that if an LMM is irreducible then the corresponding GLM also is, improving in this way a procedure given by \textit{K. Burrage} and \textit{J.
J C Butcher
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A Generalization of Linear Multistep Methods [PDF]
A generalization of the methods that are currently available to solve systems of ordinary differential equations is made. This generalization is made by constructing linear multistep methods from an arbitrary set of monotone interpolating and approximating functions. Local truncation error estimates as well as stability analysis is given. Specifically,
Arriola, Leon
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Circle contractive linear multistep methods
BIT Numerical Mathematics, 1986The circle contractivity condition is essentially a particular form of stability condition, to be obeyed when a linear multistep method is applied to an initial-value problem involving the differential equation \((d/dt)y=\lambda (t)y\), for some continuous function \(\lambda\) (t).
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Improved Accuracy of Linear Multistep Methods [PDF]
We 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.
Karaa, Samir
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Stability of linear multistep methods for delay integro-differential equations [PDF]
This paper is concerned with the numerical solution of delay integro-differential equations. The adaptation of linear multistep methods is considered. The emphasis is on the linear stability of numerical methods. It is shown that every A-stable, strongly
Chengming Huang
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Auxiliary linear multistep methods: explicit
International Journal of Computer Mathematics, 1989A class of high order explicit 2-step methods for the integration of ordinary differential equations have been developed. The methods use the slopes at several auxiliary points within a step. The efficiency of the methods has been established by comparing numerical results with those of Adams—Bashforth—Moulton predictor-corrector method and Runge-Kutta
G. Sahoo, N. Datta
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On convergent linear multistep matrix methods
International Journal of Computer Mathematics, 1991In this paper a sufficient condition in order to a linear multistep matrix method for computing numerically initial value differential matrix problems be convergent is given.
Lucas Jódar, J. L. Morera, E. Navarro
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