All Research Papers Published In Applied Numerical Mathematics

Research Article
9
10.1016/j.apnum.2023.11.011

Nonconforming mixed finite element method for the diffuse interface model of two-phase fluid flows

Nov 27, 2023
Applied Numerical Mathematics
Qian Liu + 1 more +1

Research Article
8
10.1016/j.apnum.2023.11.018

The numerical solution of a time-delay model of population growth with immigration using Legendre wavelets

Nov 23, 2023
Applied Numerical Mathematics
Arash Goligerdian + 1 more +1

Research Article
4
10.1016/j.apnum.2023.11.016

Integrating factor techniques applied to the Schrödinger-like equations. Comparison with Split-Step methods

Nov 23, 2023
Applied Numerical Mathematics
Martino Lovisetto + 2 more +2

Research Article
3
10.1016/j.apnum.2023.11.009

Multilinear algebra methods for higher-dimensional graphs

Nov 17, 2023
Applied Numerical Mathematics
Alaeddine Zahir + 2 more +2

Research Article
7
10.1016/j.apnum.2023.11.008

On approximation of solutions of stochastic delay differential equations via randomized Euler scheme

Nov 17, 2023
Applied Numerical Mathematics
Paweł Przybyłowicz + 2 more +2

Research Article
2
10.1016/j.apnum.2023.11.002

Fitted finite element methods for singularly perturbed elliptic problems of convection-diffusion type

Nov 10, 2023
Applied Numerical Mathematics
A.f Hegarty + 1 more +1

Fitted finite element methods are constructed for a singularly perturbed convection-diffusion problem in two space dimensions. Exponential splines as basis functions are combined with Shishkin meshes to obtain a stable parameter-uniform numerical method. These schemes satisfy a discrete maximum principle. If the diffusivity parameter is bounded below by some fixed positive constant, the numerical approximations converge, in L∞, at a rate of second order. Moreover, the numerical approximations converge at a rate of first order for all values of the singular perturbation parameter.

Research Article
10
10.1016/j.apnum.2023.10.006

Energy-stable and boundedness preserving numerical schemes for the Cahn-Hilliard equation with degenerate mobility

Oct 25, 2023
Applied Numerical Mathematics
F Guillén-González + 1 more +1

Research Article
4
10.1016/j.apnum.2023.10.002

Accelerated greedy randomized augmented Kaczmarz algorithm for inconsistent linear systems

Oct 10, 2023
Applied Numerical Mathematics
Yong Liu

Research Article
8
10.1016/j.apnum.2023.09.003

A proximal fully parallel splitting method with a relaxation factor for separable convex programming

Sep 22, 2023
Applied Numerical Mathematics
Jianghua Yin + 4 more +4

Research Article
10
10.1016/j.apnum.2023.08.010

High-order unconditionally maximum-principle-preserving parametric integrating factor Runge-Kutta schemes for the nonlocal Allen-Cahn equation

Sep 09, 2023
Applied Numerical Mathematics
Zhongxiong Gao + 3 more +3