International Journal of                                                 Numerical Analysis & Modeling

 
 ISSN 1705-5105
 
"For the things of this world cannot be made known without a knowledge of mathematics" -----Roger Bacon
 
Contents

                

 

          

              Volume 23  (2026)                  

(all papers can be downloaded at the page numbers)                        

Volume  23,  Number  1 (2026)  --- Contents                

                            

L. Wang, C. Wang, H. Gong, X. Li, H. Guo and X. Zang  Integrating                  peridynamic theory with ground fissure mechanics:                                                    application to Songzhuang ground fissure study...................................................1

S. Atrout, MD. A. AL Mahbub, C. Li  and H. Zheng, Efficient and                                long-time accurate second-order decoupled method for the blood solute                 dynamics model................................... ...........................................................24

10.4208/ijnam2026-1002

X. Liu and S. Yu,  Provably convergent plug-and-play proximal block                 coordinate descent method for hyperspectral anomaly detection..........................63

10.4208/ijnam2026-1003

C. Wang   Auto-stabilized weak Galerkin finite element methods                                     for biharmonic equations on polytopal meshes without convexity assumptions....83

10.4208/ijnam2026-1004

W. Qiu, M.A. Zaky, X. Zheng and A.S. Hendy,  A unified analysis                              framework for uniform stability of discretized Volterra integrodifferential                     equations.......................................................................................................103

10.4208/ijnam2026-1005

J. Baldonedo, J.R. Fernandez and R. Quintanilla, Analysis of a type II                   thermal problem involving a viscoelastic beam...............................................122

10.4208/ijnam2026-1006

J. Luo, X. Li and M. Wang, A splitting extrapolation based on                                     iso-parametric quadratic finite elements for solving second order                                    nonlinear parabolic equations with curved boundaries.....................................139

10.4208/ijnam2026-1007

 

Volume  23,  Number  2 (2026)  --- Contents                

                            

S. Xu, J. Wang, Y. Zhang and X. Yang  An asymptotic expansion                              based Deep Neural networks for solving singularly perturbed problems                          with exponential boundary layers......................................................................163

P. Wei and Q.S. Zou, Analysis of any order Runge-Kutta spectral volume               schemes for 1D hyperbolic equations..............................................................184

10.4208/ijnam2026-1009

X. Ding, F. Gao and Y. Liu,  A fully discrete ultra-weak discontinuous                   Galerkin method for solving the drift-diffusion model of semiconductor                                devices...........................................................................................................223

10.4208/ijnam2026-1010

X. Liu, Y. Zou and A.J. Meir   Physics-based multi-time stepping                         algorithm for three-dimensional quasi-static electroporoelasticity equations........252

10.4208/ijnam2026-1011

K. Kumar, H. Hutridurga and A. K. Pani,  On  a priori error analysis                            of discontinuous Galerkin method for the  Vlasov-nonstationary Stokes                                 system............................................................................................................275

10.4208/ijnam2026-1012

 

Volume  23,  Number 3 (2026)  --- Contents                

                            

M. Filipkovska  Combined methods for solving time-varying                                    semilinear differential-algebraic equations with the use of spectral                                projectors and applications...........................................................................305

Y. Liu, J. Xiao, N. Yi  and H. Cao, Enhanced gradient recovery-based                              a posteriori error estimator and adaptive finite element method for elliptic                              equations.....................................................................................................353

10.4208/ijnam2026-1014

Y. Chen, X. Wu, Z. Yang, J. Zhang and J. Zhao,  An efficient                                       RVE-EMC approach for multiscale equations of random heterogeneous                               materials.....................................................................................................374

10.4208/ijnam2026-1015

K. Pan, H. Xu and Z. Li   Analysis of harmonic average method                                     for interface problems with discontinuous solutions and fluxes.......................390

10.4208/ijnam2026-1016

P. Ma, D. Shen, Y. He and X. Feng,  Uniform equivalence of                                     $L^2$- and discrete $l^2$-norms on $Q_1$-finite element spaces                                with mass lumping in any finite dimension.....................................................408

10.4208/ijnam2026-1017

Y. Jun and N. L. Gibson,  Analysis of transmission line model with                           uncertain parameter using the PC--FDTD method.......................................432

10.4208/ijnam2026-1018

Y. Hou, L. Yi and T. Zhao,  A high-order mixed finite element method                             for second order elliptic equations on curved domain with boundary value                             corrections...................................................................................................442

10.4208/ijnam2026-1019

Volume  23,  Number 4 (2026)  --- Contents                

                            

J. Feng, Y. Kang and Y. Yang  The energy stable sixth-order                                    implicit-explicit scheme with scalar auxiliary variable method                                               for the Swift-Hohenberg equation................................................................461

Y. Gu and J. Tang and Q. Zhai, The stabilizer-free weak Galerkin                                finite element method for the biharmonic equation using polynomials of                            reduced order............................................................................................480

10.4208/ijnam2026-1021

E. Hawkins,  Accelerating convergence of a natural convection solver                               by continuous data assimilation....................................................................499

10.4208/ijnam2026-1022

K. Chawla and W. Holmes   A physics-informed neural network                              approach to simulating ice dynamics governed by the shallow ice                            approximation.............................................................................................523

10.4208/ijnam2026-1023

Q. Chen, X. Yang and W. Zhao, A first order positivity-preserving scheme                     for a class of nonlinear jump-diffusion problems............................................551

10.4208/ijnam2026-1024

C. Li, W. Yu and Q. Wang,  Energy dissipation rate guided adaptive                         sampling for physics-informed neural networks: resolving surface-bulk                         dynamics in Allen-Cahn systems..................................................................576

10.4208/ijnam2026-1025

 

 

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