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.pdf (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.pdf (20)

F. Triki, T. Sayah and G. Semaan, A Posteriori Error Estimates for Darcy-Forchheimer’s Problem Coupled with the Convection-Diffusion-Reaction Equation.pdf (65)

Q. Liu and L. Wang, Lie-Poisson Numerical Method for a Class of Stochastic Lie-Poisson Systems.pdf (104)

S. Dotti, Convergence of the Finite Volume Method for Stochastic Hyperbolic Scalar Conservation Laws: A Proof by Truncation on the Sample-Time Space.pdf (120)

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

N. Bazarra, J. R. Fernández, A. Magaña, M. Magaña and R. Quintanilla, An a Priori Error Analysis of a Problem Involving Mixtures of Continua with Gradient Enrichment.pdf (165)

J. M. Connors and M.l Gaiewski, An $H^1$-Conforming Solenoidal Basis for Velocity Computation on Powell-Sabin Splits for the Stokes Problem.pdf (181)

F. Chen, M. Cui and C. Zhou, Discontinuous Galerkin Method for Nonlinear Quasi-Static Poroelasticity Problems.pdf (201)

M. Liu and X. Xie, A Hybrid Stress Finite Element Method for Integro-Differential Equations Modelling Dynamic Fractional Order Viscoelasticity.pdf (221)

J. Xu, S. Xie and H. Fu, Two Decoupled and Linearized Block-Centered Finite Difference Methods for the Nonlinear Symmetric Regularized Long Wave Equation.pdf (244)

Y. Xu and W. Zhao, Richardson Extrapolation of the Crank-Nicolson Scheme for Backward Stochastic Differential Equations.pdf (268)

X. Yu and Q. Wu, Modified Newton-NDSS Method for Solving Nonlinear System with Complex Symmetric Jacobian Matrices.pdf (295)

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

H. B. D. Oliveira and N. D. Lopes, Continuous/Discontinuous Finite Element Approximation of a 2d Navier-Stokes Problem Arising in Fluid Confinement.pdf (315)

K. Gamage, Y. Peng and Z. Li, A Direct Method for Solving Three-Dimensional Elliptic Interface Problems.pdf (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.pdf (375)

C. Shi, Y. He, D. Sheen and X. Feng, A Difference Finite Element Method for Convection-Diffusion Equations in Cylindrical Domains.pdf (407)

B. Yu, Y. Li and J. Liu, Fast Numerical Solvers for Subdiffusion Problems with Spatial Interfaces.pdf (431)

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.pdf (459)

X. Yang, P. Huang and Y. He, A Voigt-Regularization of the Thermally Coupled Inviscid, Resistive Magnetohydrodynamic.pdf (476)

M. Suthar and S. Yadav, Mixed Virtual Element Method for Linear Parabolic Integro-Differential Equations. Pdf (504)

E. N. Karatzas, hp-Version Analysis for Arbitrarily Shaped Elements on the Boundary Discontinuous Galerkin Method for Stokes Systems.pdf (528)

T. Guo and F.Zhao, Dynamics Analysis of HIV-1 Infection Model with CTL Immune Response and Delays.pdf (560)

L. Yang, W. Mu, H.Peng and X. Wang, The Weak Galerkin Finite Element Method for the Dual-Porosity-Stokes Model.pdf (587)

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

Preface.pdf (0)

Z. Cai, J. Choi and M. Liu, Least-Squares Neural Network (LSNN) Method for Linear Advection-Reaction Equation: Non-Constant Jumps.pdf (609)

Z. Chen, S. Lee and L. Mu, Automated Detection and Characterization of Singularities in Functions Using Neural Networks-From FFT Signals.pdf (629)

B. Chudomelka, Y. Hong, J. Morgan, H. Kim and J. Park, Deep Neural Network for Solving Differential Equations Motivated by Legendre-Galerkin Approximation.pdf (652)

Q. Guan, How Can Deep Neural Networks Fail Even with Global Optima?.pdf (674)

J. Jia, L.Ju and X. Zhang, Deep Surrogate Model for Learning Green’s Function Associated with Linear Reaction-Diffusion Operator.pdf (697)

Y. Wang, S. Zhou and Y. Zhang, Parametric Model Reduction with Convolutional Neural Networks.pdf (716)

Z. Zhang, F. Bao and G. Zhang, Improving the Expressive Power of Deep Neural Networks Through Integral Activation Transform.pdf (739)

S. Lee, T. Kadeethum and H. M. Nick, Choice of Interior Penalty Coefficient for Interior Penalty Discontinuous Galerkin Method for Biot’s System by Employing Machine Learning.pdf (764)

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.pdf (793)

Z. Chen, K. Li, M. Lyu and X. Xiang, A High Order Unfitted Finite Element Method for Time-Harmonic Maxwell Interface Problems.pdf (822)

M. Zhao, J. Gao, M. A. A. Mahbub and D. Chen, An Efficient Rotational Pressure-Correction Scheme for the 2D/3D Navier-Stokes/Darcy Coupling Problem.pdf (850)

F. Siddiqua and W. Pei, Variable Time Step Method of Dahlquist, Liniger and Nevanlinna (DLN) for a Corrected Smagorinsky Model.pdf (879)

H. Zhou, Y. Sun and F. Huo, A Finite Volume Method Preserving the Invariant Region Property for the Quasimonotone Reaction-Diffusion Systems.pdf (910)