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Development of a Piezoelectric Immunosensor to Rapidly Measure Prohibitin‑1 as a Prognostic Biomarker for Sepsis and Other Serious Infectious Diseases. [PDF]
Kamel ES +4 more
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Theory on the Design Principles of Protein Molecular Oscillatory Machines. [PDF]
Murugan R, Muñoz V.
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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.
Butcher, J. C., Hill, A. T.
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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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Multirate linear multistep methods
BIT, 1984zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gear, C. W., Wells, D. R.
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Instability in linear multistep methods
Applicable Analysis, 1988Classes of multistep methods with k steps, order k+1 and depending on a certain number of free parameters, one of them representing the size of the real interval of stability are constructed. A criterion to select automatically multistep methods of such classes, which are fitted with the eigenvalues of the jacobian matrix of a differential system is ...
Paula Oliveira, Fernanda Patricio
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Error Estimate for a Linear Multistep Method
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1991For the system \(x=Tx+b\) of linear equations in a Banach space with \(T=T_ 0+...+T_ n\), \(n\geq 1\), we consider the implicit stationary n- step method \(x_{k+n}=\sum^{n}_{i=0}T_ ix_{k+n-i}+b,\) \(k=0,1,2,...\). In case of \(\| T\|
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Multistep Methods and General Linear Methods
1987This chapter is devoted to the study of multistep and general multivalue methods. After retracing their historical developement (Adams, Nystrom, Milne, BDF) we study in the subsequent sections the order, stability and convergence properties of these methods.
Ernst Hairer +2 more
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