Results 41 to 50 of about 1,325 (220)

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

On the Superconvergence of ESFR Schemes

open access: yesCoRR
17 pages, 3 ...
Mathias Dufresne-Piché, Siva Nadarajah
openaire   +2 more sources

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

Superconvergence in Iterated Solutions of Integral Equations

open access: yes, 1998
In this thesis, we investigate the superconvergence phenomenon of the iterated numerical solutions for the Fredholm integral equations of the second kind as well as a class of nonliner Hammerstein equations.
Padilla, Peter A.
core   +1 more source

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

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

Mixed approximation of eigenvalue problems : a superconvergence result

open access: yes, 2009
We state a superconvergence result for the lowest order Raviart-Thomas approximation of eigenvalue problems. It is known that a similar superconvergence result holds for the mixed approximation of Laplace problem; here we introduce a new proof, since the
Gardini, Francesca, Francesca Gardini
core   +1 more source

A Localized Version of the Dual‐Primal Finite Element Tearing and Interconnecting Method for the Partitioned Analysis of Heterogeneous Structural Systems

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 127, Issue 2, 30 January 2026.
ABSTRACT FETI‐DP is a mature domain decomposition algorithm that has been successfully applied to different problems, demonstrating impressive performance. To be effective, the algorithm needs to be equipped with different technicalities that somewhat complicate its implementation.
José A. González   +4 more
wiley   +1 more source

Superconvergence of Modified Nonconforming Cut Finite Element Method for Elliptic Problems

open access: yesMathematics
In this work, we aim to explore the superconvergence of a modified nonconforming cut finite element method with rectangular meshes for elliptic problems. Boundary conditions are imposed via the Nitsche’s method.
Xiaoxiao He, Fei Song
doaj   +1 more source

Natural superconvergence points in three-dimensional finite elements

open access: yes, 2008
A systematic and analytic process is conducted to identify natural superconvergence points of high degree polynomial C0 finite elements in a three-dimensional setting.
Zhang, Zhimin, Lin, Runchang
core   +1 more source

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