Results 21 to 30 of about 1,325 (220)
Superconvergence of Galerkin variational integrators
IFAC-PapersOnLine, 2021 7 pages, no figures.
Sina Ober-Blöbaum, Mats Vermeeren
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A review of two different approaches for superconvergence analysis [PDF]
, 1998 summary:In 1995, Wahbin presented a method for superconvergence analysis called “Interior symmetric method,” and declared that it is universal. In this paper, we carefully examine two superconvergence techniques used by mathematicians both in China and ...
Zhu, Qiding
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Error estimates for external approximation of ordinary differential equations and the superconvergence property [PDF]
, 1988 summary:A pointwise error estimate and an estimate in norm are obtained for a class of external methods approximating boundary value problems. Dependence of a superconvergence phenomenon on the external approximation method is studied.
Regińska, Teresa
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Superconvergence Postprocessing for Eigenvalues
Computational Methods in Applied Mathematics, 2002 AbstractThe main goal of this paper is to present a new strategy of increasing the convergence rate for the numerical solution of the linear finite element eigenvalue problems. This is done by introducing a postprocessing technique for eigenvalues. The postprocessing technique deals with solving a corresponding linear elliptic problem.
Racheva, M. R., Andreev, A. B.
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Convergence and Stability in Collocation Methods of Equation u′(t)=au(t)+bu([t])
Journal of Applied Mathematics, 2012 This paper is concerned with the convergence, global superconvergence, local superconvergence, and stability of collocation methods for u′(t)=au(t)+bu([t]).
Han Yan +3 more
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Superconvergence of external approximation for two-point boundary problems [PDF]
, 1987 summary:The superconvergence property of a certain external method for solving two point boundary value problems is established. In the case when piecewise polynomial spaces are applied, it is proved that the convergence rate of the approximate solution ...
Regińska, Teresa
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Mathematics, 2023 In this paper, the unconditional superconvergence error analysis of the semi-implicit Euler scheme with low-order conforming mixed finite element discretization is investigated for time-dependent Navier–Stokes equations.
Xiaoling Meng, Huaijun Yang
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Low order nonconforming finite element method for time-dependent nonlinear Schrödinger equation
Boundary Value Problems, 2018 The main aim of this paper is to apply a low order nonconforming EQ1rot $\mathit{EQ}_{1}^{\mathrm{rot}}$ finite element to solve the nonlinear Schrödinger equation. Firstly, the superclose property in the broken H1 $H^{1}$-norm for a backward Euler fully-
Chao Xu +3 more
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Quadratic/linear rational spline interpolation
Mathematical Modelling and Analysis, 2013 We describe the construction of an interpolating quadratic/linear rational spline S of smoothness class C 2 for a strictly convex (or strictly concave) function y on [a, b].
Erge Ideon, Peeter Oja
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Superconvergence of kernel-based interpolation [PDF]
Journal of Approximation Theory, 2018 It is well-known that univariate cubic spline interpolation, if carried out on point sets with fill distance $h$, converges only like ${\cal O}(h^2)$ in $L_2[a,b]$ for functions in $W_2^2[a,b]$ if no additional assumptions are made. But superconvergence up to order $h^4$ occurs if more smoothness is assumed and if certain additional boundary conditions
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