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Journal of Computational Physics, ISSN 0021-9991, 02/2014, Volume 259, pp. 33 - 50
Journal Article
Journal of Mathematical Sciences (United States), ISSN 1072-3374, 11/2018, Volume 235, Issue 2, pp. 138 - 153
We consider an approximation method based on Steklov functions of the first and second order. We obtain estimates for the norms in the space C of continuous... 
NUMERICAL ANALYSIS | FUNCTIONS | APPROXIMATIONS | DIFFERENTIAL CALCULUS | PERIODICITY | MATHEMATICAL METHODS AND COMPUTING
Journal Article
Bulletin of the Malaysian Mathematical Sciences Society, ISSN 0126-6705, 10/2018, Volume 41, Issue 4, pp. 2053 - 2066
We write expressions connected with numerical differentiation formulas of order 2 in the form of Stieltjes integral, then we use Ohlin lemma and Levin–Stechkin... 
39B62 | 26A51 | Differentiation formulas | 26D10 | Mathematics, general | Mathematics | Hermite–Hadamard inequality | Convex functions | Applications of Mathematics | MATHEMATICS | Hermite-Hadamard inequality | Stieltjes integral | Numerical differentiation | Inequalities
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2005, Volume 183, Issue 1, pp. 29 - 52
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 02/2013, Volume 239, Issue 1, pp. 406 - 414
In order to achieve higher computational precision in approximating the first-order derivative of the target point, the 1-step-ahead numerical differentiation... 
1-step-ahead | Error analysis | The first-order derivative | Computational precision | Optimal step length | Numerical differentiation | EXPRESSIONS | MATHEMATICS, APPLIED | RECURRENT NEURAL-NETWORK | TAYLOR-SERIES | FINITE-DIFFERENCE APPROXIMATIONS | Approximation | Computation | Mathematical analysis | Mathematical models | Derivatives | Optimization
Journal Article
Journal of Approximation Theory, ISSN 0021-9045, 2009, Volume 160, Issue 1, pp. 202 - 222
First, we briefly discuss three classes of numerical differentiation formulae, namely finite difference methods, the method of contour integration, and... 
Error bounds | Entire functions of exponential type | Sampling method | Numerical differentiation | Gaussian multiplier | INTERPOLATION | POLYNOMIALS | MATHEMATICS | ANALYTIC FUNCTIONS | CONVERGENCE
Journal Article
IEEE Transactions on Geoscience and Remote Sensing, ISSN 0196-2892, 06/2014, Volume 52, Issue 6, pp. 3513 - 3528
Journal Article
Computer Physics Communications, ISSN 0010-4655, 2008, Volume 179, Issue 11, pp. 773 - 776
In an earlier article, we had indicated two applications where there was a significant improvement in accuracy due to the use of higher order approximation for... 
Radioactivity migration in porous medium and MST formula | Method of undetermined coefficients | Numerical differentiation | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MST formula | DISCRETE VARIABLE REPRESENTATION | RATE CONSTANTS | FLUX | PHYSICS, MATHEMATICAL | Radioactivity migration in porous medium
Journal Article
Modeling and Analysis of Information Systems, ISSN 1818-1015, 06/2016, Volume 23, Issue 3, pp. 377 - 384
Interpolation of functions on the basis of Lagrange’s polynomials is widely used. However in the case when the function has areas of large gradients,... 
boundary layer component | error estimate | quadrature formulas | nonpolynomial interpolation | formulas of numerical differentiation | function of one variable
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2009, Volume 231, Issue 2, pp. 907 - 913
By using elementary symmetric functions, this paper presents an explicit representation for the Lagrangian numerical differentiation formula as well as the... 
Elementary symmetric function | Lagrange interpolation | Cycle indicator of symmetric group | Numerical differentiation | MATHEMATICS, APPLIED | INTERPOLATION | EXPRESSIONS | ORDER | TAYLOR-SERIES | MATHEMATICAL PROOF | DERIVATIVES | DIGITAL DIFFERENTIATORS | FINITE-DIFFERENCE APPROXIMATIONS
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2009, Volume 230, Issue 2, pp. 418 - 423
Through exploiting the generalized Lagrange interpolation for continuous piecewise smooth functions, a remainder term of numerical differentiation is given.... 
Divided difference | Lagrange interpolation | Numerical differentiation | EXPRESSIONS | MATHEMATICS, APPLIED | TAYLOR-SERIES | MATHEMATICAL PROOF | DERIVATIVES | DIGITAL DIFFERENTIATORS | FINITE-DIFFERENCE APPROXIMATIONS
Journal Article
Computational Mathematics and Mathematical Physics, ISSN 0965-5425, 6/2015, Volume 55, Issue 6, pp. 917 - 921
Journal Article
Computer Physics Communications, ISSN 0010-4655, 2004, Volume 161, Issue 3, pp. 109 - 118
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2000, Volume 126, Issue 1, pp. 269 - 276
Journal Article
Results in Mathematics, ISSN 1422-6383, 2009, Volume 53, Issue 3-4, pp. 445 - 452
Journal Article
Neurocomputing, ISSN 0925-2312, 10/2014, Volume 142, pp. 165 - 173
In addition to the high-speed parallel-distributed processing property, neural networks can be readily implemented by hardware and thus have been applied... 
Numerical-differentiation formula | Time-varying matrix pseudoinverse | Discrete-time Zhang neural network | Motion generation | ITERATION | MOORE-PENROSE INVERSE | OPTIMIZATION | PSEUDO-INVERSE | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Neural networks | Control systems
Journal Article
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