Stronger computational modelling of signalling pathways using both continuous and discrete-state methods [PDF]
, 2006 Starting from a biochemical signalling pathway model expresses in a process algebra enriched with quantitative information, we automatically derive both continuous-space and discrete-space representations suitable for numerical evaluation.
A. Aziz +19 more
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An Adaptive Method for Numerical Differentiation of Difficult-to-Compute Functions [PDF]
Journal of Mechanical Engineering, 2021 An adaptive approach to the numerical differentiation of difficult-to-compute functions is considered. Complex dependencies, which are the result of multiple superpositions of functions or the product of various algorithmic processes, are knowingly ...
Helii A. Sheludko, Serhii V. Ugrimov
doaj +1 more source
Учёные записки Казанского университета: Серия Физико-математические науки, 2021 The article gives an estimate of the error of the classical formulas for the numerical differentiation of a function of one variable with large gradients in the exponential boundary layer.
N.A. Zadorin
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Numerical and experimental assessment of the modal curvature method for damage detection in plate structures [PDF]
, 2014 This paper is concerned with the use of numerically obtained modal curvatures for damage detection in both isotropic and composite laminated plates.
A Dutta +12 more
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Geometric approach to Fletcher's ideal penalty function [PDF]
, 1995 Original article can be found at: www.springerlink.com Copyright Springer. [Originally produced as UH Technical Report 280, 1993]In this note, we derive a geometric formulation of an ideal penalty function for equality constrained problems.
Christianson, B.
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Controlling delay differentiation with priority jumps: analytical study [PDF]
, 2011 Supporting different services with different Quality of Service (QoS) requirements is not an easy task in modern telecommunication systems: an efficient priority scheduling discipline is of great importance.
Bruneel, Herwig +2 more
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Adaptive formulas of numerical differentiation of functions with large gradients
Journal of Physics: Conference Series, 2019 There are constructed formulas for the numerical differentiation of functions of one variable with large gradients. Formulas are based on the fitting to the singular component responsible for the large gradients of the function. The singular component is
V. Il'in, A. Zadorin
semanticscholar +1 more source
A comparison between numerical solutions to fractional differential equations: Adams-type predictor-corrector and multi-step generalized differential transform method [PDF]
, 2017 In this note, two numerical methods of solving fractional differential equations (FDEs) are briefly described, namely predictor-corrector approach of Adams-Bashforth-Moulton type and multi-step generalized differential transform method (MSGDTM), and then
Ahrabi, Sima Sarv, Momenzadeh, Alireza
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Interpolation on the Bakhvalov mesh in the presence of an exponential boundary layer
Учёные записки Казанского университета: Серия Физико-математические науки, 2019 Interpolation of the function of one variable with large gradients in the region of the exponential boundary layer was studied. The interpolated function corresponds to solution of a boundary value problem for an ordinary differential equation of the ...
I.A. Blatov, N.A. Zadorin
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An effective spectral collocation method for the direct solution of high-order ODEs [PDF]
, 2006 This paper reports a new Chebyshev spectral collocation method for directly solving high-order ordinary differential equations (ODEs). The construction of the Chebyshev approximations is based on integration rather than conventional differentiation. This
Mai-Duy, Nam
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