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 22  (2025)                  

(all papers can be downloaded at the page numbers)                        

Volume  22,  Number  1 (2025)  --- Contents                

                            

K. Chawla, W. Holmes and R. Temam,  From obstacle problems to neural insights:   feed  forward neural network modeling of ice thickness...................................1

W. Zhao, T. Wu, C. Feng, W. Wu, X. Lv, H. Chen and J. Liu, Image smoothing
via a novel adaptive weighted $L_0$ regularization................................... ......21

10.4208/ijnam2025-1002

Y. Zhang and B. Wang,  A linearized, decoupled and unconditionally stable                      BDF2 FEM for the active fluid mod...................................................................40

10.4208/ijnam2025-1003

H. Kunwar and H. Lee,   Decoupling methods for fluid-structure interaction                 with local time-stepping....................................................................................71

10.4208/ijnam2025-1004

L. Li, Y. He and X. Feng,  A difference virtual element method for the 3D                 elliptic equation with the variable coefficient on general cylindrical domains.........96

10.4208/ijnam2024-1005

Y. Lin, Y. He and Z.-R. Lai, A Krasnoselskii-Mann proximity algorithm                             for Markowitz Portfolios with adaptive expected return level...........................113

10.4208/ijnam2025-1006

 

Volume  22,  Number  2 (2025)  --- Contents                

                            

R. Fang, W. Han and W. Layton,  On a 1/2-equation model of turbulence......139

J. Zhang, F. Gao and J. Cui, Weak Galerkin finite element method based                      on POD for nonlinear parabolic equation..................................................... ......157

10.4208/ijnam2025-1008

Q. Wang, P. Huang and Y. He,  The Navier-Stokes-$\omega$/                                  Navier-Stokes-$\omega$ model for fluid-fluid interaction using an unconditionally        stable finite element scheme.............................................................................178

10.4208/ijnam2025-1009

R. Jain and S. Yadav,   Hybridizable discontinuous Galerkin method                                for linear hyperbolic integro-differential equations..............................................202

10.4208/ijnam2025-1010

M. Liu, M. He and P. Sun,  Numerical studies for an interface problem involving      fourth- and second-order Poisson-Fermi electrostatic equations.....................226

10.4208/ijnam2024-1011

M. Cui and Y. Li,  Energy-conservative finite difference method for the coupled               nonlinear Klein-Gordon equation in the nonrelativistic limit regime......................246

10.4208/ijnam2025-1012

M. Wang and W. Deng,  Fourier convergence analysis for Fokker-Planck             equation of tempered fractional Langevin-Brownian motion  and nonlinear                       time fractional diffusion equation ........................................................................268

10.4208/ijnam2025-1013

 

Volume  22,  Number  3 (2025)  --- Contents                

                            

L. Wang, Y. Xu and M. Feng,  A locking-free reduced-order model                               for solving the elastic wave equation..............................................................307

M.A. Ali, Z. Zhang and J. Xie, Numerical analysis of augmented FVM                            for nonlinear time fractional degenerate parabolic equation...................... ......340

10.4208/ijnam2025-1015

X. Yue, R. Zhou, C. Chen, X. Xu and S. Shu,  A selectively relaxed                         alternating positive semidefinite splitting preconditioner for the flux-limited                        multi-group radiation diffusion equations..........................................................361

10.4208/ijnam2025-1016

Y. Akhavan, M. Chen and D. Liang,   Numerical NS equations-constrained           power optimization of wind turbines  affected by wake....................................384

10.4208/ijnam2025-1017

O.T. Hai, N.T.H. Thai and T.T. Thanh,  A cell-centered finite element method            with imposed flux continuity and streamline upwind technique                                               for advection-diffusion problems on general meshes.........................................401

10.4208/ijnam2024-1018

F. Huo, Y. Sun, J. Wu and L. Zhang,  A conforming discontinuous Galerkin                   finite element method for second-order parabolic equation............................432

10.4208/ijnam2025-1019

 

Volume  22,  Number  4 (2025)  --- Contents                

                            

Aakansha, S. Kumar and P. Das,  Analysis of an efficient parameter                                 uniform domain decomposition approach for singularly perturbed                                Gierer-Meinhardt type nonlinear coupled systems of parabolic problems......459

A. E. Diegel, C. Wang and S. M. Wise, Convergence analysis of                                    a preconditioned steepest descent solver for the Cahn-Hilliard  equation                         with logarithmic potential..................................................................... ......483

10.4208/ijnam2025-1021

P. Guo, B. Wang and G. Zou,  An unconditionally energy-stable                                SAV-DG numerical scheme for tumor growth model..................................510

10.4208/ijnam2025-1022

M.-C. Viallon,   Schwarz method in a geometrical multi-scale domain                           with continuous or discontinuous junctions.................................................534

10.4208/ijnam2025-1023

Y. Zhou,  Stability and superconvergence of a special Q_1-finite volume                        element scheme over quadrilateral meshes..................................................556

10.4208/ijnam2024-1024

L. Zheng and W. Zhao,  Splitting schemes for backward stochastic                                differential equations..................................................................................585

10.4208/ijnam2025-1025

 

Volume  22,  Number  5 (2025)  --- Contents                

                            Preface

M. Benes, M. Kolar, J. M. Sischka and A. Voigt,  Degenerate area                     preserving surface Allen--Cahn equation and its sharp interface limit............603

H. Garcke and R. Nurnberg, A finite element method for  anisotropic                      crystal growth on surfaces.................................................................... ......614

10.4208/ijnam2025-1027

P. Guo, G. Zou and M. Zhang,  An energy-dissipation finite element                       pressure-correction scheme for the hydrodynamics of smectic-A liquid crystals......................................................................................................637

10.4208/ijnam2025-1028

M. Chen, F. Yu and Q. Zhang,   The weighted and shifted two-step                           BDF method for Allen-Cahn equation on variable grids............................671

10.4208/ijnam2025-1029

T. Luong, T. Mengesha, S. M. Wise and M. H. Wong,  A diffuse                       domain approximation with transmission-type boundary conditions                                       I:  asymptotic analysis and numerics...................................................694

10.4208/ijnam2024-1030

T. Luong, T. Mengesha, S. M. Wise and M. H. Wong,  A diffuse                       domain approximation with transmission-type boundary conditions                                    II: Gamma--convergence.................................................728

10.4208/ijnam2025-1031

S. Dai, A. Ramadan and J. Renzi,  Force convergence for                                           the de Gennes-Cahn-Hilliard energ...........................................................745

10.4208/ijnam2025-1032

 

 

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