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 18 (2021)                  

(all papers can be downloaded at the page numbers)                        

Volume  18,  Number  1 (2021)  --- Contents                

                                 

J. Delgado and J.M Pena,  Evaluation of curves and surfaces by methods
based on differential equations and CAGD...........................................................
.1

Y. Zhou and Q. Zou,  Locally conservative serendipity finite element solutions                         for elliptic equations....................................................................................... ......19

A. Theljani, Multi-scale non-standard fourth-order PDE in image denoising                             and its fixed point algorithm...................................................................   .........38

C. Magherini,   Weakly regular Sturm-Liouville problems: a corrected                          spectral matrix method....................................................................62

M. Sarai and D. Liang, Even-odd cycled high-order splitting finite difference                         time domain method for Maxwell's equations........................................................79

G. Gao, R. Tang and Q. Yang,  A compact finite difference scheme                                   for the fourth-order time multi-term fractional sub-diffusion equations                                  with the first Dirichlet boundary conditions..........................................................100

Y. Chen and X. Zhang,  A $P_2$-$P_1$ partially penalized immersed finite                          element method for Stokes interface problem....................................................120

 

Volume  18,  Number  2 (2021)  --- Contents                

                             

W. Xian, A. Chen, Y. Cheng and H. Dong,  Numerical simulations  for                       shallow water flows over erodible beds by central DG methods..............................143

T. Hill, M. Neda, E. Olson and F. Pahlevani,  Energy and enstrophy study                         of the time relaxation model............................................................................... ......165

H. Wu, J. Ying and Q. Zou, Finite volume element method for predicting                  electrostatics of a biomolecule immersed in an ionic solvent...................................190

M. G. Armentano and M. L. Stockdale,   Approximations by MINI mixed                    finite element for the Stokes-Darcy coupled problem on curved domains..................203

Y. Zhang, L. Cao and D. Shi, Well-posedness and the multiscale algorithm                            for heterogeneous scattering of Maxwell's equations in dispersive media...................235

A. Delic, S. Zivanovic and Z. M. Jeknic,  A finite-difference scheme for a linear            multi-term fractional-in-time differential equation with concentrated capacities.............265

Volume  18,  Number  3 (2021)  --- Contents                

                             

X. Cheng, H. Xuan and Q. Xiao,  Analysis of Rothe method for                                          a variational-hemivariational inequality in adhesive contact problem for  locking                         materials..............................................................................................................287

A. AL-Taweel, S. Hussain, R. Lin and P. Zhu,,  A stabilizer free weak                        Galerkin finite element method for general second-order elliptic problem......... ......311

W. Zhang, L. Hu, Z. Yang and Y. Nie, Error estimates for the Laplace                          interpolation on convex polygons...........................................................................324

I. Kesler, R. Lan and P. Sun,  The arbitrary Lagrangian-Eulerian finite                           element method for a transient Stokes/parabolic interface problem...........................339

M.Q. Tan, J. Cheng and C.-W. Shu, Stability of high order finite difference                       schemes with implicit-explicit time-marching for convection-diffusion and                         convection-dispersion equations..............................................................................362

D. Wang, Y. Cao, Q. Li and J. Shen,  A stochastic gradient descent                                     method for the design of optimal random interface in thin-film solar cells . .................384

Y. Qin, C. Wang and Z. Zhang,  A positivity-preserving and convergent                         numerical scheme for the binary fluid-surfactant system. ...........................................399

Volume  18,  Number  4 (2021)  --- Contents                

                             

J. Li, W. Zhang and J. Yue,  A deep learning Galerkin method                                            for the second-order linear elliptic equations............................................................427

I. Kayijuka, S. M. Ege, A. Konuralp and F. S. Topal, Fast Gauss-related          quadrature for highly oscillatory integrals with logarithm and Cauchy-logarithmic                        type singularities............................................................................................... ......444

M. Zheng, F. Liu and V. Anh, An effective algorithm for computing fractional           derivatives and application to fractional differential equations....................................458

I. Sykopetritou and C. Xenophontos,  An $hp$ finite element method for                             a singularly perturbed reaction-convection-diffusion boundary value problem
with two small parameters
......................................................................................
.481

C. Wang, A modified primal-dual weak Galerkin finite element method                                  for second order elliptic equations in non-divergence form.........................................500

P. Sakkaplangkul and V. A. Bokil,  Convergence analysis of Yee-FDTD                  schemes for 3D Maxwell's equations in linear dispersive media . ...............................524

 

 


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