Results 21 to 30 of about 862,081 (264)
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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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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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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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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Open Mathematics, 2023 In this article, we investigate a spherically symmetric backward heat conduction problem, starting from the final temperature. This problem is severely ill posed: the solution (if it exists) does not depend continuously on the final data.
Cheng Wei, Liu Yi-Liang
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Error estimation for n-th order Filon quadrature formula
Lietuvos Matematikos Rinkinys, 2023 In this paper the error estimation for n-th order Filon quadrature formula is discussed.
Kostas Plukas, Danutė Plukienė
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Mathematics, 2019 In this paper, the ill-posed problem of the two-dimensional modified Helmholtz equation is investigated in a strip domain. For obtaining a stable numerical approximation solution, a mollification regularization method with the de la Vallée Poussin ...
Shangqin He, Xiufang Feng
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Mathematical Modelling and Analysis, 2021 An efficient Legendre-Galerkin spectral method and its error analysis for a one-dimensional parabolic equation with Dirichlet-type non-local boundary conditions are presented in this paper.
Abdeldjalil Chattouh, Khaled Saoudi
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