Results 31 to 40 of about 4,040,528 (306)
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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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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Accurate error estimation in CG [PDF]
Numerical Algorithms, 2021 In practical computations, the (preconditioned) conjugate gradient (P)CG method is the iterative method of choice for solving systems of linear algebraic equations $Ax=b$ with a real symmetric positive definite matrix $A$. During the iterations it is important to monitor the quality of the approximate solution $x_k$ so that the process could be stopped
Gérard Meurant, Jan Papez, Petr Tichý
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The enhanced cognitive interview: testing appropriateness perception, memory capacity and error estimate relation with report quality [PDF]
, 2015 The Enhanced Cognitive Interview (ECI) has been widely studied. However, research has overlooked witnesses’ attitudes toward the interview and how error estimate and memory capacity relate to report quality.
Saraiva, Magda +13 more
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