All Research Papers Published In Applied Numerical Mathematics

Research Article
10.1016/j.apnum.2026.03.011

Space-time spectral methods for parabolic equations: Error analysis of explicit-implicit iteration scheme

Aug 01, 2026
Applied Numerical Mathematics
Huiqing Liao + 3 more +3

Research Article
10.1016/j.apnum.2026.02.020

A parameter-robust approach on generalized mesh to numerical solution and diffusive fluxes for 2D-system of singularly perturbed convection-diffusion elliptic PDEs

Aug 01, 2026
Applied Numerical Mathematics
Sonu Bose + 1 more +1

Research Article
10.1016/j.apnum.2026.02.015

Explicit, linear, energy stable, and maximum principle preserving method for Allen–Cahn equation

Jul 01, 2026
Applied Numerical Mathematics
Seunggyu Lee

Research Article
10.1016/j.apnum.2026.02.007

A modified weak Galerkin method for the biharmonic equation

Jun 01, 2026
Applied Numerical Mathematics
Wenya Qi + 1 more +1

Research Article
10.1016/j.apnum.2026.01.015

Multi-level mixed finite element methods based on charge-conservative for solving the stationary inductionless MHD equations

Jun 01, 2026
Applied Numerical Mathematics
Yande Xia + 1 more +1

Research Article
10.1016/j.apnum.2026.02.002

A priori error estimates based on lyapunov for the FitzHugh-Nagumo model via interior penalty discontinuous Galerkin method

Jun 01, 2026
Applied Numerical Mathematics
Ajeet Singh + 1 more +1

Research Article
10.1016/j.apnum.2026.02.008

Time-dependent extrudate-swell flows with slip boundary conditions: Finite difference method and slip-based Reynolds number effects

Jun 01, 2026
Applied Numerical Mathematics
Gilcilene S Paulo + 2 more +2

Research Article
10.1016/j.apnum.2026.01.005

A mixed-order compact generalized finite difference method for stable seismic wavefield simulation

May 01, 2026
Applied Numerical Mathematics
Zhili Chen + 2 more +2

Research Article
10.1016/j.apnum.2026.01.008

An efficient hybrid numerical method for the high-order Allen–Cahn equation

May 01, 2026
Applied Numerical Mathematics
Youngjin Hwang + 2 more +2

Research Article
10.1016/j.apnum.2026.01.004

Analyses and simulation of boundary integral methods of viscous Stokes flow

May 01, 2026
Applied Numerical Mathematics
Keyang Zhang