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: Feedforward Neural Network Modeling of Ice Thickness.pdf (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.pdf (21)
Y. Zhang and B. Wang, A Linearized, Decoupled and Unconditionally Stable BDF2 FEM for the Active Fluid Model.pdf (40)
H. Kunwar and H. Lee, Decoupling Methods for Fluid-Structure Interaction with Local Time-Stepping.pdf (71)
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.pdf (96)
Y. Lin, Y. He and Z.-R. Lai, A Krasnoselskii-Mann Proximity Algorithm for Markowitz Portfolios with Adaptive Expected Return Level.pdf (113)
Volume 22, Number 2 (2025) --- Contents
R. Fang, W.-W. Han and W. J Layton, On a 1/2-Equation Model of Turbulence.pdf (139)
J. Zhang, F. Gao and J. Cui, Weak Galerkin Finite Element Method Based on POD for Nonlinear Parabolic Equations.pdf (157)
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.pdf (178)
R. Jain and S. Yadav, Hybridizable Discontinuous Galerkin Method for Linear Hyperbolic Integro-Differential Equations.pdf (202)
M. Liu, M. He and P. Sun, Numerical Studies for an Interface Problem Involving Fourth- and Second-Order Poisson-Fermi Electrostatic Equations.pdf (226)
M. Cui and Y. Li, Energy-Conservative Finite Difference Method for the Coupled Nonlinear Klein-Gordon Equation in the Nonrelativistic Limit Regime.pdf (246)
M. Wang and W. Deng, Fourier Convergence Analysis for Fokker-Planck Equation of Tempered Fractional Langevin-Brownian Motion and Nonlinear Time Fractional Diffusion Equation.pdf (268)
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.pdf (307)
M.A. Ali, Z. Zhang and J. Xie, Numerical Analysis of Augmented FVM for Nonlinear Time Fractional Degenerate Parabolic Equation.pdf (340)
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.pdf (361)
Y. Akhavan, M. Chen and D. Liang, Numerical NS Equations-Constrained Power Optimization of Wind Turbines Affected by Wake.pdf (384)
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.pdf (401)
F. Huo, Y. Sun, J. Wu and L. Zhang, A Conforming Discontinuous Galerkin Finite Element Method for Second-Order Parabolic Equation.pdf (432)
Volume 22, Number 4 (2025) --- Contents
Aakansha, S. Kumar and P. Das, Analysis of an efficient parameter uniform domain decomposition uniform domain decomposition approach for singularly perturbed Gierer-Meinhardt type nonlinear coupled systems of parabolic problems.pdf (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.pdf (483)
P. Guo, B. Wang and G. Zou, An unconditionally energy-stable SAV-DG numerical scheme for tumor growth model.pdf (510)
M.-C. Viallon, Schwarz method in a geometrical multi-scale domain with continuous or discontinuous junctions.pdf (534)
Y. Zhou, Stability and superconvergence of a special Q_1-finite volume element scheme over quadrilateral meshes.pdf (556)
L. Zheng and W. Zhao, Splitting schemes for backward stochastic differential equations. pdf (585)
Volume 22, Number 5 (2025) --- Contents
Preface.pdf
M. Benes, M. Kolar, J. M. Sischka and A. Voigt, Degenerate area preserving surface Allen-Cahn equation and its sharp interface limit. pdf (603)
H. Garcke and R. Nurnberg, A finite element method for anisotropic crystal growth on surfaces. pdf (614)
P. Guo, G. Zou and M. Zhang, An energy-dissipation finite element pressure-correction scheme for the hydrodynamics of smectic-A liquid crystals. pdf (637)
M. Chen, F. Yu and Q. Zhang, The weighted and shifted two-step BDF method for Allen-Cahn equation on variable grids.pdf (671)
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. pdf (694)
T. Luong, T. Mengesha, S. M. Wise and M. H. Wong, A diffuse domain approximation with transmission-type boundary conditions II: Gamma--convergence. pdf (728)
S. Dai, A. Ramadan and J. Renzi, Force convergence for the de Gennes-Cahn-Hilliard energy. pdf (745)
Volume 22, Number 6 (2025) --- Contents
O. Farkhondeh Rouz, S. Shahmorad and F. Erdogan, Mean square stability of numerical method for stochastic Volterra integral equations with double weakly singular kernels. pdf (755)
X. Tang and J. Xiong, A class of Runge-Kutta methods for backward stochastic differential equations. pdf (777)
S. H. Chou, C. Khaembda and A. Wachira, A finite difference method for an interface problem with a nonlinear jump condition. pdf (801)
J. Chaskalovic and F. Assous, Optimized first-order Taylor-like formulas and Gauss quadrature errors. pdf (824)
L. Gao, X. Zhang and R. Shi, Numerical analysis of the finite difference time domain methods with high accuracy in time for Maxwell equations. pdf (843)
Y. Ren and S. Zhao, A multigrid-based fourth order finite difference method for elliptic interface problems with variable coefficients. pdf (860)
M. Chen, J. Shi and Z. Zhou, FModified BDF2 schemes for subdiffusion models with a singular source term. pdf (897)
