Micro segregation rates of liquid Fe-Ni-S metal in natural silicate-metal systems: A combined experimental and numerical study [PDF]
, 2011 We present results of an image‐based numerical model aimed at quantifying the microsegregation and flow of liquid metal in meteorites prior to the onset of silicate melting. The sample material is the H6 chondrite Kernouvé.
Petford, Nick; id_orcid +4 more
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A Two-Stage Method for Parameter Identification of a Nonlinear System in a Microbial Batch Process
Applied Sciences, 2019 This paper deals with the parameter identification of a microbial batch process of glycerol to 1,3-propanediol (1,3-PD). We first present a parameter identification model for the excess kinetics of a microbial batch process of glycerol to 1,3-PD.
Gongxian Xu, Dongxue Lv, Wenxin Tan
doaj +1 more source
Numerical differentiation on scattered data through multivariate polynomial interpolation [PDF]
, 2022 We discuss a pointwise numerical differentiation formula on multivariate scattered data, based on the coefficients of local polynomial interpolation at Discrete Leja Points, written in Taylor’s formula monomial basis.
Dell'Accio F. +3 more
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Multivariate numerical differentiation
Journal of Computational and Applied Mathematics, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Riachy, Samer +2 more
openaire +4 more sources
Jacobian Code Generated by Source Transformation and Vertex Elimination can be as Efficient as Hand-Coding [PDF]
, 2004 This article presents the first extended set of results from ELIAD, a source- transformation implementation of the vertex-elimination Automatic Differentiation approach to calculating the Jacobians of functions defined by Fortran code (Griewank and ...
Reid, John K. +7 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
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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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An FFT method for the numerical differentiation [PDF]
, 2023 We consider the numerical differentiation of a function tabulated at equidistant points. The proposed method is based on the Fast Fourier Transform (FFT) and the singular value expansion of a proper Volterra integral operator that reformulates the ...
Nadaniela Egidi +7 more
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A scheme for stable numerical differentiation [PDF]
, 2005 A method for stable numerical differentiation of noisy data is proposed. The method requires solving a Volterra integral equation of the second kind. This equation is solved analytically.
Alexander G. Ramm +5 more
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CasADi -- A symbolic package for automatic differentiation and optimal control [PDF]
, 2012 We present CasADi, a free, open-source software tool for rapid, yet efficient solution of optimization problems in general and dynamic optimization problems in particular. To the developer of algorithms for numerical optimization and to the advanced user
Andersson, Joel +3 more
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