Results 41 to 50 of about 4,651 (187)

Global superconvergence of the lowest order mixed finite element on mildly structured meshes

open access: yes, 2018
In this paper, we develop global superconvergence estimates for the lowest order Raviart--Thomas mixed finite element method for second order elliptic equations with general boundary conditions on triangular meshes, where most pairs of adjacent triangles
Li, Yuwen
core   +1 more source

Superconvergence of a finite element method for linear integro-differential problems

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2000
We introduce a new way of approximating initial condition to the semidiscrete finite element method for integro-differential equations using any degree of elements. We obtain several superconvergence results for the error between the approximate solution
Do Y. Kwak, Sungyun Lee, Qian Li
doaj   +1 more source

Quadratic/linear rational spline interpolation

open access: yesMathematical 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
doaj   +1 more source

Duality and Superconvergence Relation in Supersymmetric Gauge Theories

open access: yes, 1997
We investigate the phase structures of various N=1 supersymmetric gauge theories including even the exceptional gauge group from the viewpoint of superconvergence of the gauge field propagator.
D. G. Gross   +22 more
core   +2 more sources

Spline Collocation for Multi-Term Fractional Integro-Differential Equations with Weakly Singular Kernels

open access: yesFractal 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
doaj   +1 more source

High-Order Energy and Linear Momentum Conserving Methods for the Klein-Gordon Equation

open access: yesMathematics, 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
doaj   +1 more source

Unconditional superconvergence analysis of an energy-stable finite element scheme for nonlinear Benjamin–Bona–Mahony–Burgers equation

open access: yesBoundary 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
doaj   +1 more source

Superconvergent interpolatory HDG methods for reaction diffusion equations I: An HDG$_{k}$ method

open access: yes, 2019
In our earlier work [8], we approximated solutions of a general class of scalar parabolic semilinear PDEs by an interpolatory hybridizable discontinuous Galerkin (Interpolatory HDG) method.
Chen, Gang   +3 more
core   +2 more sources

Behavioral Cobweb Dynamics With Anticipatory Inventory and Ulam Stability: An Integro‐Differential Approach

open access: yesMathematical 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
wiley   +1 more source

Linear/linear rational spline interpolation

open access: yesMathematical 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
doaj   +1 more source

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