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.pdf(1)
Y. Zhou and Q. Zou, Locally conservative serendipity finite element solutions for elliptic equations.pdf(19)
A. Theljani, Multi-scale non-standard fourth-order PDE in image denoising and its fixed point algorithm.pdf(38)
C. Magherini, Weakly regular Sturm-Liouville problems: a corrected spectral matrix method.pdf(62)
M. Sarai and D. Liang, Even-odd cycled high-order splitting finite difference time domain method for Maxwell's equations.pdf(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.pdf(100)
Y. Chen and X. Zhang, A $P_2$-$P_1$ partially penalized immersed finite element method for Stokes interface problem.pdf(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.pdf(143)
T. Hill, M. Neda, E. Olson and F. Pahlevani, Energy and enstrophy study of the time relaxation model.pdf(165)
H. Wu, J. Ying and Q. Zou, Finite volume element method for predicting electrostatics of a biomolecule immersed in an ionic solvent.pdf(190)
M. G. Armentano and M. L. Stockdale, Approximations by MINI mixed finite element for the Stokes-Darcy coupled problem on curved domainsM. G. Armentano and M. L. Stockdale, Approximations by MINI mixed finite element for the Stokes-Darcy coupled problem on curved domains.pdf(203)
Y. Zhang, L. Cao and D. Shi, Well-posedness and the multiscale algorithm for heterogeneous scattering of Maxwell's equations in dispersive media.pdf(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.pdf(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.pdf(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.pdf(311)
W. Zhang, L. Hu, Z. Yang and Y. Nie, Error estimates for the Laplace interpolation on convex polygons.pdf(324)
I. Kesler, R. Lan and P. Sun, The arbitrary Lagrangian-Eulerian finite element method for a transient Stokes/parabolic interface problem.pdf(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.pdf(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.pdf(384)
Y. Qin, C. Wang and Z. Zhang, A positivity-preserving and convergent numerical scheme for the binary fluid-surfactant system.pdf(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.pdf(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.pdf (444)
M. Zheng, F. Liu and V. Anh, An effective algorithm for computing fractional derivatives and application to fractional differential equations.pdf(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.pdf(481)
C. Wang, A modified primal-dual weak Galerkin finite element method or second order elliptic equations in non-divergence form..pdf(500)
P. Sakkaplangkul and V. A. Bokil, Convergence analysis of Yee-FDTD schemes for 3D Maxwell's equations in linear dispersive media.pdf(524)
Volume 18, Number 5 (2021) --- Contents
B. Zhao, M.Y. Zhang and C. Liang, Global well-posedness for Navier-Stokes-Darcy equations with the free interface.pdf(569)
B. Bialecki and R.I. Fernandes, Convergence analysis of ADI orthogonal spline collocation without perturbation terms.pdf(620)
H. Zhang, X. Yang and J. Zhang, Stabilized invariant energy quadratization (S-IEQ) method for the molecular beam epitaxial model without slope section..pdf(642)
C. Attanayake and S.H. Chou, Superconvergence and flux recovery for an enriched finite element method.pdf(656
M. Xiao, An efficient nonlinear solver for steady MHD based on algebraic splitting.pdf(674)
R. Wang, Z. Wang, J. Liu, S. Tavener and R. Zhang, Locking-free CG-type finite element solvers for linear elasticity on simplicial meshes.pdf(690)
S. Pollock and L. R. Scott, Extrapolating the Arnoldi algorithm to improve eigenvector convergenc.pdf(712)
Volume 18, Number 6 (2021) --- Contents
F. Lin, Y. Li, J. Zhang and C. Lian, Energy and mass conservative averaging local discontinuous Galerkin method for Schrodinger equation.pdf(723)
O.L. Elvetun and B.F. Nielsen, Modified Tikhonov regularization for identifying several source.pdf(740)
H. Zhang and H. Liang, Collocation methods for a class of integro-differential algebraic equations.pdf(758)
N. Chuenjarern, K. Wuttanachamsri and Y. Yang, Stability analysis and error estimates of local discontinuous Galerkin method for convection-diffusion equations on overlapping mesh with non-periodic boundary conditions.pdf(788)
T. Li, P. Huang and Y. He, A fully discrete, decoupled scheme with different time steps for approximating nematic liquid crystal flow.pdf(811)
X. Tang, C. Ross Schmidtlein, S. Li and Y. Xu, An integral equation model for PET imaging.pdf(834)
A. Jovic, Optimality criteria and duality for nonlinear fractional continuous-time programming.pdf(865)