Results 41 to 50 of about 1,675 (160)

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

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
doaj   +1 more source

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

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, A. L. Sackitey, Agnes Adom‐Konadu, Samuel E. Assabil, Luca Guerrini, M. F. Ofori, Massimiliano Ferrara   +6 more
wiley   +1 more source

Superconvergence of Modified Nonconforming Cut Finite Element Method for Elliptic Problems

Mathematics
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

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

International 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, Seung Hoon Kang, Hyea Hyun Kim, Sang Joon Shin, K. C. Park   +4 more
wiley   +1 more source

Collocation Solutions of a Weakly Singular Volterra Integral Equation

Trends in Computational and Applied Mathematics, 2007
The discrete superconvergence properties of spline collocation solutions for a certain Volterra integral equation with weakly singular kernel are analyzed.
T. Diogo, P. Lima
doaj   +1 more source

Numerical Study of Fourth‐Order Volterra Partial Integrodifferential Equation With Weakly Singular Kernel via Subdivision Collocation Approach

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In the present article, an emerging subdivision‐based technique is developed for the numerical solution of linear Volterra partial integrodifferential equations (LVPIDEs) of order four with a weakly singular kernel. To approximate the spatial derivatives, the basis function of the subdivision scheme is used, whereas the time discretization is done with
Zainab Iqbal, Syeda Tehmina Ejaz, Jihad Younis, M. I. Elashiry, Faizah D. Alanazi, Nikhil Khanna   +5 more
wiley   +1 more source

A Conforming Least Squares Approach for the Numerical Approximation of Parabolic Equations

Proceedings in Applied Mathematics and Mechanics, Volume 25, Issue 4, December 2025.
ABSTRACT We propose a least squares formulation for the numerical approximation of parabolic partial differential equations, which minimizes the residual of the equation using the natural L2(0,T;H−1(Ω))$L^2(0,T;H^{-1}(\Omega))$ norm. In particular, we avoid making regularity assumptions on the problem's data.
Michael Hinze, Christian Kahle, Michael Stahl   +2 more
wiley   +1 more source

Improved Numerical Robustness of the X‐FFT Solver via Internal Scaling

Proceedings in Applied Mathematics and Mechanics, Volume 25, Issue 4, December 2025.
ABSTRACT The recently introduced X‐FFT solver improves the spatial accuracy of FFT‐based homogenization methods for two‐dimensional thermal homogenization problems without compromising their numerical efficiency. Through the use of an X‐FEM discretization, optimal error convergence rates of the discretization error are achieved, and the developed X‐FFT
Flavia Gehrig, Matti Schneider
wiley   +1 more source

Iterated Crank–Nicolson Method for Peridynamic Models

Dynamics
In this paper, we explore the iterated Crank–Nicolson (ICN) algorithm for the one-dimensional peridynamic model. The peridynamic equation of motion is an integro-differential equation that governs structural deformations such as fractures. The ICN method
Jinjie Liu, Samuel Appiah-Adjei, Moysey Brio   +2 more
doaj   +1 more source

A Priori Error Bounds for the Approximate Deconvolution Leray Reduced Order Model

Numerical Methods for Partial Differential Equations, Volume 41, Issue 6, November 2025.
ABSTRACT The approximate deconvolution Leray reduced order model (ADL‐ROM) uses spatial filtering to increase the ROM stability, and approximate deconvolution to increase the ROM accuracy. In the under‐resolved numerical simulation of convection‐dominated flows, ADL‐ROM was shown to be significantly more stable than the standard ROM and more accurate ...
Ian Moore, Anna Sanfilippo, Francesco Ballarin, Traian Iliescu   +3 more
wiley   +1 more source