All Research Papers Published In Applied Numerical Mathematics

Research Article
10.1016/j.apnum.2025.03.006

A unified space-time finite element scheme for a quasilinear parabolic problem

Aug 01, 2025
Applied Numerical Mathematics
I Toulopoulos

Research Article
4
10.1016/j.apnum.2025.03.004

Splitting techniques for DAEs with port-Hamiltonian applications

Aug 01, 2025
Applied Numerical Mathematics
Andreas Bartel + 4 more +4

Research Article
10.1016/j.apnum.2025.07.015

2D and 3D reconstructions in acousto-electric tomography via two-point gradient Kaczmarz-type algorithm

Aug 01, 2025
Applied Numerical Mathematics
Kai Zhu + 1 more +1

Research Article
2
10.1016/j.apnum.2025.02.001

Orthogonal wavelet method for multi-stage expansion and contraction options under stochastic volatility

Jun 01, 2025
Applied Numerical Mathematics
Dana Černá

Research Article
10.1016/j.apnum.2025.02.011

A mixed discontinuous Galerkin method for the Biot equations

Jun 01, 2025
Applied Numerical Mathematics
Jing Wen

Research Article
2
10.1016/j.apnum.2025.02.005

Two fourth-order conservative compact difference schemes for the generalized Korteweg–de Vries–Benjamin Bona Mahony equation

Jun 01, 2025
Applied Numerical Mathematics
Xin Zhang + 1 more +1

In this paper, the generalized Korteweg-de Vries–Benjamin Bona Mahony(GKdV-BBM) equation is investigated by two compact finite difference methods. One is a two-level-nonlinear difference scheme and another is a three-level-linearized difference scheme. Both of the schemes provide second and fourth-order accuracy in time and space, respectively. It is important that they preserve certain properties of the original equation, such as conservative properties. The solvability of the proposed numerical schemes is proved by Brouwer's fixed point theorem and mathematical induction, respectively. The convergence and unconditional stability of the proposed difference schemes are also established through the discrete energy method, without imposing any restrictions on the grid ratios. Finally, numerical results are presented to confirm the theoretical findings, and they also demonstrate the efficiency and reliability of the proposed compact approaches.

Research Article
10.1016/s0168-9274(25)00019-4

Editorial Board

Apr 01, 2025
Applied Numerical Mathematics

Research Article
1
10.1016/j.apnum.2023.11.019

Extrapolated splitting methods for multilinear PageRank computations

Feb 01, 2025
Applied Numerical Mathematics
Maryam Boubekraoui

Research Article
1
10.1016/j.apnum.2024.11.012

Convergence, divergence, and inherent oscillations in MAS solutions of 2D Laplace-Neumann problems

Nov 20, 2024
Applied Numerical Mathematics
Georgios D Kolezas + 2 more +2

Front Matter
10.1016/s0168-9274(24)00215-0

Editorial Board

Nov 01, 2024
Applied Numerical Mathematics