Results 21 to 30 of about 3,900,571 (293)
Estimation error of the constrained lasso [PDF]
2016 54th Annual Allerton Conference on Communication, Control, and Computing (Allerton), 2016 This paper presents a non-asymptotic upper bound for the estimation error of the constrained lasso, under the high-dimensional (n ≪ p) setting. In contrast to existing results, the error bound in this paper is sharp, is valid when the parameter to be estimated is not exactly sparse (e.g., when it is weakly sparse), and shows explicitly the effect of ...
Nissim Zerbib +3 more
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Mathematical Modelling and Analysis, 2015 An iterative method is discussed with respect to its effectiveness and capability of solving singular nonlinear Lane-Emden type equations using reproducing kernel Hilbert space method combined with the Picard iteration.
Babak Azarnavid +2 more
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The estimation of truncation error by τ-estimation revisited [PDF]
Journal of Computational Physics, 2012 The aim of this paper was to accurately estimate the local truncation error of partial differential equations, that are numerically solved using a finite difference or finite volume approach on structured and unstructured meshes. In this work, we approximated the local truncation error using the @t-estimation procedure, which aims to compare the ...
Fraysse, François +2 more
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Entropy, 2022 Several two-level iterative methods based on nonconforming finite element methods are applied for solving numerically the 2D/3D stationary incompressible MHD equations under different uniqueness conditions.
Haiyan Su, Jiali Xu, Xinlong Feng
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Convergence of a linearly extrapolated BDF2 finite element scheme for viscoelastic fluid flow
Boundary Value Problems, 2017 The stability and convergence of a linearly extrapolated second order backward difference (BDF2-LE) time-stepping scheme for solving viscoelastic fluid flow in R d $\mathbb{R}^{d}$ , d = 2 , 3 $d=2,3$ , are presented in this paper.
Yunzhang Zhang, Chao Xu, Jiaquan Zhou
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Algorithms, 2023 The boundary value problem, BVP, for the PDE heat equation is studied and explained in this article. The problem declaration comprises two intervals; the (0, T) is the first interval and labels the heating of the inside burning chamber, and the second (T,
Bashar Talib Al-Nuaimi +5 more
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Explicit Integrating Factor Runge–Kutta Method for the Extended Fisher–Kolmogorov Equation
Mathematical and Computational Applications, 2023 The extended Fisher–Kolmogorov (EFK) equation is an important model for phase transitions and bistable phenomena. This paper presents some fast explicit numerical schemes based on the integrating factor Runge–Kutta method and the Fourier spectral method ...
Yanan Wang, Shuying Zhai
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On the estimate of the error of quadrature formulae [PDF]
, 1966 summary:An explicit expression for the exact estimate of the error $E(f)=\int^1_0 f(x)dx-\sum^m_{k=1} c_kf(x_k)$ of an arbitrary quadrature formula is given in terms of the coefficients $c_k$ and the nodes $x_k$
Zlámal, Miloš
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Renormalization group analysis of weakly nonlinear oscillators with time delay
上海师范大学学报. 自然科学版, 2020 The renormalization group (RG) method is one of the asymptotic methods which are used to obtain approximate solutions of differential equations. In this article, weakly nonlinear oscillators with time delay are considered, and asymptotic solutions of ...
WANG Yiling, XIE Feng
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A Space-Time Finite Element Method for the Fractional Ginzburg–Landau Equation
Fractal and Fractional, 2023 A fully discrete space-time finite element method for the fractional Ginzburg–Landau equation is developed, in which the discontinuous Galerkin finite element scheme is adopted in the temporal direction and the Galerkin finite element scheme is used in ...
Jincun Liu, Hong Li, Yang Liu
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