Results 31 to 40 of about 207 (177)
Adaptive variational discretization approximation method for parabolic optimal control problems
Journal of Inequalities and Applications, 2020 In this paper, we study variational discretization method for parabolic optimization problems. Firstly, we obtain some convergence and superconvergence analysis results of the approximation scheme.
Yuelong Tang, Yuchun Hua
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A posteriori error estimates based on superconvergence of FEM for fractional evolution equations
Open Mathematics, 2021 In this paper, we consider an approximation scheme for fractional evolution equation with variable coefficient. The space derivative is approximated by triangular finite element and the time fractional derivative is evaluated by the L1 approximation. The
Tang Yuelong, Hua Yuchun
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Fractal and Fractional, 2021 We consider general linear multi-term Caputo fractional integro-differential equations with weakly singular kernels subject to local or non-local boundary conditions.
Arvet Pedas, Mikk Vikerpuur
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On the Superconvergence of ESFR Schemes
CoRR17 pages, 3 ...
Mathias Dufresne-Piché, Siva Nadarajah
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High-Order Energy and Linear Momentum Conserving Methods for the Klein-Gordon Equation
Mathematics, 2018 The Klein-Gordon equation is a model for free particle wave function in relativistic quantum mechanics. Many numerical methods have been proposed to solve the Klein-Gordon equation. However, efficient high-order numerical methods that preserve energy and
He Yang
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A Stable and Accurate X‐FFT Solver for Linear Elastic Homogenization Problems in 3D
International Journal for Numerical Methods in Engineering, Volume 127, Issue 10, 30 May 2026.ABSTRACT Although FFT‐based methods are renowned for their numerical efficiency and stability, traditional discretizations fail to capture material interfaces that are not aligned with the grid, resulting in suboptimal accuracy. To address this issue, the work at hand introduces a novel FFT‐based solver that achieves interface‐conforming accuracy for ...
Flavia Gehrig, Matti Schneider
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Linear/linear rational spline interpolation
Mathematical Modelling and Analysis, 2010 For a strictly monotone function y on [a, b] we describe the construction of an interpolating linear/linear rational spline S of smoothness class C 1. We show that for the linear/linear rational splines we obtain ¦S(xi ) − y(xi )¦8 = O(h 4) on uniform ...
Erge Ideon, Peeter Oja
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Boundary Value Problems, 2022 In this paper, an energy-stable Crank–Nicolson fully discrete finite element scheme is proposed for the Benjamin–Bona–Mahony–Burgers equation. Firstly, the stability of energy is proved, which leads to the boundedness of the finite element solution in H ...
Lele Wang, Xin Liao, Huaijun Yang
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2463-2473, 15 March 2026.ABSTRACT This paper proposes a novel extension of the classical cobweb price model by incorporating behavioral inventory responses through an anticipatory mini‐storage mechanism. In many real‐world commodity markets, persistent price oscillations occur even when classical stability conditions are theoretically satisfied, an inconsistency traditional ...
M. Anokye +6 more
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A Superconvergent HDG Method for the Maxwell Equations [PDF]
Journal of Scientific Computing, 2016 This paper deals with two hybridizable discontinuous Galerkin methods, which are applied in the framework of steady state Maxwell equations. In the first part of this paper, the authors illustrate the well-posedness of both methods. Next, the adjoint problem is presented, and some basic a priori estimates are given.
Huangxin Chen +3 more
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