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 21  (2024)                  

(all papers can be downloaded at the page numbers)                        

Volume  21,  Number  1 (2024)  --- Contents                

                             

C. Wang, J. Wang and S. Zhang,  A parallel iterative procedure                                   for weak Galerkin methods for second order elliptic problems...............................1

A. Alhammali, M. Peszynska and C. Shin, Numerical analysis of                                   a mixed finite element approximation of a coupled system modeling biofilm                 growth in porous media with simulations........................................................ ......20

10.4208/ijnam2024-1002

F. Triki, T. Sayah and G. Semaan,  A Posteriori error estimates for                       Darcy-Forchheimer's problem coupled with the convection-diffusion-reaction                       equation..............................................................................................................65

10.4208/ijnam2024-1003

Q.Q. Liu and L.J. Wang,   Lie-Poisson numerical method for a class of                   stochastic Lie-Poisson systems............................................................................104

10.4208/ijnam2024-1004

S. Dotti,  Convergence of the finite volume method for stochastic hyperbolic                  scalar conservation laws: a proof by truncation on the sample-time space..............120

10.4208/ijnam2024-1005

Volume  21,  Number  2 (2024)  --- Contents                

                             

N. Bazarra, J. Fernandez, A. Magana, M. Magana and R. Quintanilla,                    An a priori error analysis of a problem involving mixtures of continua                               with gradient enrichment...................................................................................165

J. Connors and M. Gaiewski, An H1-conforming solenoidal basis for velocity computation on Powell-Sabin splits  for the Stokes problem................................181

https://doi.org/10.4208/ijnam2024-1007

F. Chen, M. Cui  and C. Zhou,  Discontinuous Galerkin method for nonlinear                quasi-static poroelasticity problems.....................................................................201

https://doi.org/10.4208/ijnam2024-1008

M. Liu and X. Xie,   A hybrid stress finite element method for integro-differential   equations modelling dynamic fractional order viscoelasticity................................221

https://doi.org/10.4208/ijnam2024-1009

J. Xu, S.S. Xie and H.F. Fu,  Two decoupled and linearized block-centered               finite difference methods for the nonlinear symmetric regularized long wave                            equation.............................................................................................................244

https://doi.org/10.4208/ijnam2024-1010

Y. Xu and W. Zhao,  Richardson extrapolation of the Crank-Nicolson scheme                for backward stochastic differential equations....................................................268

https://doi.org/10.4208/ijnam2024-1011

X.H. Yu and Q.B. Wu,  Modified Newton-NDSS method for solving                      nonlinear system with complex symmetric Jacobian matrices..............................295

https://doi.org/10.4208/ijnam2024-1012

Volume  21,  Number  3 (2024)  --- Contents                

                             

H.B. de Oliveira and N.D. Lopes,  Continuous/discontinuous finite element                       approximation of a 2d Navier-Stokes problem arising in fluid confinement..........315

K. Gamage, Y. Peng and Z. Li, A direct method for solving three-dimensional                   
elliptic interface problems..................................................................................353

J. Bai, H. Liu, X. He, W. Jiang and Y. Cao,  CFIRM: An integrated code                       package for the low-temperature plasma simulation on structured grids...............375

C. Shi, Y. He, D. Sheen and X. Feng,   A difference finite element method for                   convection-diffusion equations in cylindrical domains...........................................407

https://doi.org/10.4208/ijnam2024-1016

B. Yu, Y. Li and J. Liu,  Fast numerical solvers for subdiffusion problems                           with spatial interfaces..........................................................................................431

https://doi.org/10.4208/ijnam2024-1017

Volume  21,  Number  4 (2024)  --- Contents                

                             

K. He, J. Chen, L. Zhang and M. Ran,  A stabilizer-free weak Galerkin                           finite element method for the Darcy-Stokes equations........................................459

X. Yang, P. Huang and Y. He, A Voigt-regularization of the thermally                    coupled inviscid, resistive magnetohydrodynamic................................................476

https://doi.org/10.4208/ijnam2024-1019

M. Suthar and S. Yadav,  Mixed virtual element method for linear parabolic                        integro-differential equations.......................................................................... ....504

https://doi.org/10.4208/ijnam2024-1020

E. N. Karatzas,   hp-version analysis for arbitrarily shaped elements on                               the boundary discontinuous Galerkin method for Stokes systems........................528

https://doi.org/10.4208/ijnam2024-1021

T. Guo and F. Zhao,  Dynamics analysis of HIV-1 infection model with                                CTL immune response and delays...................................................................560

https://doi.org/10.4208/ijnam2024-1022

L. Yang, W. Mu, H. Peng and X. Wang,  The weak Galerkin finite element                      method for the dual-porosity-Stokes model.....................................................587

https://doi.org/10.4208/ijnam2024-1023

Volume  21,  Number  5 (2024)  --- Contents                

                                            Preface                           

Z. Cai, J. Choi and M. Liu,  Least-squares neural network (LSNN) method                  for linear advection-reaction equation: non-constant jumps................. ..............609

Z. Chen, S. Lee and L. Mu, Automated detection and characterization of              singularities in functions using  neural networks-from FFT signals......................629

https://doi.org/10.4208/ijnam2024-1025

B. Chudomelka, Y. Hong, J. Morgan, H. Kim and J. Park,  Deep neural            network for solving differential equations motivated by Legendre-Galerkin                            approximation............................................................................................ ....652

https://doi.org/10.4208/ijnam2024-1026

Q. Guan,   How can deep neural networks fail even with global optima?.......674

https://doi.org/10.4208/ijnam2024-1027

J. Jia, L. Ju and X. Zhang,  Deep surrogate model for learning                               Green's function  associated with linear reaction-diffusion operator...................697

https://doi.org/10.4208/ijnam2024-1028

Y. Wang, S. Zhou and Y. Zhang,  Parametric model reduction with                      convolutional neural networks..........................................................................716

https://doi.org/10.4208/ijnam2024-1029

Z. Zhang, F. Bao and G. Zhang,  Improving the expressive power of deep                neural networks through integral activation transform........................................739

https://doi.org/10.4208/ijnam2024-1030

S. Lee, T. Kadeethum and H. Nick,  Choice of interior penalty coefficient                    for interior penalty discontinuous Galerkin method for Biot's system                                   by employing machine learning.........................................................................764

https://doi.org/10.4208/ijnam2024-1031

 

Volume  21,  Number  6 (2024)  --- Contents                                                                

C. Nwankwo and W. Dai,  Sixth-order compact differencing with staggered          boundary schemes and 3(2) Bogacki-Shampine pairs for pricing free-boundary                    options................. .........................................................................................793

Z. Chen, K. Li, M. Lyu and X. Xiang, A high order unfitted finite element                method for time-harmonic Maxwell interface problems.....................................822

https://doi.org/10.4208/ijnam2024-1033

M. Zhao, J. Gao, M. Mahbub and D. Chen,  An efficient rotational                    pressure-correction scheme for the 2D/3D Navier-Stokes/Darcy coupling                            problem............................................................................................ .............850

https://doi.org/10.4208/ijnam2024-1034

F. Siddiquaand W. Pei,   Variable time step method of Dahlquist, Liniger                      and Nevanlinna (DLN) for a corrected Smagorinsky model............................879

https://doi.org/10.4208/ijnam2024-1035

H. Zhou, Y. Sun and F. Huo,  A finite volume method preserving the invariant           region property for the quasimonotone reaction-diffusion systems...................910

https://doi.org/10.4208/ijnam2024-1036

 
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