Results 11 to 20 of about 2,162,244 (193)
Saddle point approximation to Higher order [PDF]
Vojnotehnički Glasnik, 2022 Introduction/purpose: Saddle point approximation has been considered in the paper Methods: The saddle point method is used in several different fields of mathematics and physics.
Nicola Fabiano, Nikola Mirkov
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Body-Ordered Approximations of Atomic Properties [PDF]
Archive for Rational Mechanics and Analysis, 2022 AbstractWe show that the local density of states (LDOS) of a wide class of tight-binding models has a weak body-order expansion. Specifically, we prove that the resulting body-order expansion for analytic observables such as the electron density or the energy has an exponential rate of convergence both at finite Fermi-temperature as well as for ...
Jack Thomas +2 more
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Mathematics, 2021 Two 1D nonlinear coupled Schrödinger equations are often used for describing optical frequency conversion possessing a few conservation laws (invariants), for example, the energy’s invariant and the Hamiltonian.
Vyacheslav Trofimov, Maria Loginova
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Open Mathematics, 2021 In this paper, we propose a family of non-stationary combined ternary (2m+3)\left(2m+3)-point subdivision schemes, which possesses the property of generating/reproducing high-order exponential polynomials.
Zhang Zeze, Zheng Hongchan, Pan Lulu
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2022 The paper considers the previously proposed method of numerical integration using the matrix calculus in the study of boundary value problems for nonhomogeneous linear ordinary differential equations of the second order with variable coefficients ...
Vladimir N. Maklakov
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Approximate deconvolution reduced order modeling [PDF]
Computer Methods in Applied Mechanics and Engineering, 2017 This paper proposes a large eddy simulation reduced order model(LES-ROM) framework for the numerical simulation of realistic flows. In this LES-ROM framework, the proper orthogonal decomposition(POD) is used to define the ROM basis and a POD differential filter is used to define the large ROM structures.
Xie, X. +3 more
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020 The paper includes the well-known matrix method of numerical integration of boundary value problems for inhomogeneous linear ordinary differential equations with variable coefficients, which provides retaining an arbitrary number of Taylor series ...
Vladimir Nikolaevich Maklakov
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Consistent Approximation of Fractional Order Operators [PDF]
Journal of Dynamic Systems, Measurement, and Control, 2021 Abstract Fractional order controllers become increasingly popular due to their versatility and superiority in various performances. However, the bottleneck in deploying these tools in practice is related to their analog or numerical implementation.
Wei, Yiheng +3 more
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C1 convexity-preserving piecewise variable degree rational interpolation spline
Journal of Advanced Mechanical Design, Systems, and Manufacturing, 2020 An explicit expression of a C1 piecewise variable degree rational interpolation spline is developed, which produces a convex (concave) interpolant to given convex (concave) data directly.
Lianyun PENG, Yuanpeng ZHU
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Bivariate spline interpolation with optimal approximation order [PDF]
, 2001 Let be a triangulation of some polygonal domain f c R2 and let S9 (A) denote the space of all bivariate polynomial splines of smoothness r and degree q with respect to A.
A. Kh. Ibrahim +31 more
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