Results 11 to 20 of about 1,256,496 (287)
Crewther's Relation in Different Schemes
Proceedings of 16th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology — PoS(RADCOR2023), 2023 We examine Crewther's relation at high loop order in perturbative QCD and demonstrate how the relation is accommodated in gauge-parameter dependent schemes where the running of the gauge parameter has to be explicitly considered. Motivated by ensuring that the conformal properties of the relation are preserved at all the critical points of QCD ...
Mason, R. H., Gracey, J. A.
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Numerical study of the nonlinear Cauchy diffusion problem and Newell-Whitehead equation via cubic B-spline quasi-interpolation [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2015 In this article, a numerical approximation to the solution of the Newell-Whitehead equation (NWE) and Cauchy problem of ill-posed non-linear diffusion equation have been studied.
Hossein Aminikhah, Javad Alavi
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High-order Compact Difference Schemes for the Modified Anomalous Subdiffusion Equation [PDF]
, 2015 In this paper, two kinds of high-order compact finite difference schemes for second-order derivative are developed. Then a second-order numerical scheme for Riemann-Liouvile derivative is established based on fractional center difference operator.
Ding, Hengfei, Li, Changpin
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Conservative finite difference schemes for dynamical systems
Discrete and Continuous Models and Applied Computational Science, 2022 The article presents the implementation of one of the approaches to the integration of dynamical systems, which preserves algebraic integrals in the original fdm for Sage system.
Yu Ying, Zhen Lu
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Boundedness of dispersive difference schemes [PDF]
Mathematics of Computation, 1990 The pointwise behavior of dispersive difference schemes for the simple wave equation in one dimension is analyzed. If the initial data are in certain Besov spaces, the scheme is shown to be pointwise unbounded. Boundedness is shown when the initial data are of bounded variation.
Estep, Donald +2 more
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A monotone predictor-corrector scheme for advection
Computer Assisted Methods in Engineering and Science, 2023 A monotone predictor- corrector finite difference scheme solving the advection equation has been proposed. A geometrical interpretation of the Burstein scheme forms a basis for construction of the new scheme.
Radosław Trębiński
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A Priori Estimation of a Time Step for Numerically Solving Parabolic Problems
Mathematical Modelling and Analysis, 2015 This work deals with the problem of choosing a time step for the numerical solution of boundary value problems for parabolic equations. The problem solution is derived using the fully implicit scheme, whereas a time step is selected via explicit ...
Petr N. Vabishchevich
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Boundary-value problem of hydrogen permeability of gas separation membranes
Transactions of the Karelian Research Centre of the Russian Academy of Sciences, 2015 High-purity hydrogen is required for clean energy and a variety of chemical technology processes. A considerable part of hydrogen is to be obtained by methane conversion and its separation from other hydrocarbon gases not involved in energy production ...
Yury Zaika, Natalia Rodchenkova
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Numerical modelling of dynamics of free boundary of hydride formation
Transactions of the Karelian Research Centre of the Russian Academy of Sciences, 2018 One of the most important requirements for the reactor's active zone materials (made of zirconium alloys) is low hydrogen absorptivity since hydrogen embrittlement may cause zirconium cladding damage.
Yury Zaika +2 more
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Қарағанды университетінің хабаршысы. Математика сериясы, 2022 Multiparametric difference schemes of the finite element method of a high order of accuracy for the Sobolevtype equation of the fourth-order in time are studied. In particular, the first boundary value problem for the equation of ion-acoustic waves in a
M.M. Aripov, D. Utebaev, Zh.A. Nurullaev
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