Vol. 18 No. 1 (2025)

Articles

Unconditional Convergence of Linearized TL1 Difference Methods for a Time-Fractional Coupled Nonlinear Schrödinger System

Min Li, Dongfang Li, Ju Ming, A. S. Hendy
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6811 573 Pages:1-30
R-Adaptive DeepONet: Learning Solution Operators for PDEs with Discontinuous Solutions Using an R-Adaptive Strategy

Yameng Zhu, Jingrun Chen, Weibing Deng
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6792 548 Pages:31-65
Stability and Error Analysis of SAV Semi-Discrete Scheme for Cahn-Hilliard-Navier-Stokes Model

Haijun Gao, Xi Li, Minfu Feng
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6888 537 Pages:66-102
The Stabilized Finite Element Method for the Cahn-Hilliard Phase-Field Model of Diblock Copolymers on Evolving Surfaces

Lulu Liu, Xufeng Xiao, Xinlong Feng
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6707 613 Pages:103-126
A Second Order Accurate in Time, Energy Stable Finite Element Scheme for a Liquid Thin Film Coarsening Model

Maoqin Yuan, Lixiu Dong, Juan Zhang
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6740 554 Pages:127-156
A Divergence-Free $P_k$ CDG Finite Element for the Stokes Equations on Triangular and Tetrahedral Meshes

Xiu Ye, Shangyou Zhang
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6786 572 Pages:157-174
The Direct Discontinuous Galerkin Method with Explicit-Implicit-Null Time Discretizations for Nonlinear Diffusion Equations

Yumiao Li, Yin Yang, Tiegang Liu, Weixiong Yuan, Kui Cao
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6857 543 Pages:175-198
Finding Cheeger Cuts via 1-Laplacian of Graphs

Wei Zhu
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6787 583 Pages:199-225
Analysis and Efficient Implementation of Quadratic Spline Collocation ADI Methods for Variable-Order Time-Fractional Mobile-Immobile Diffusion Equations

Jun Liu, Hongfei Fu, Bingyin Zhang, Jiansong Zhang
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6698 552 Pages:226-258
Two Dynamical Models Based on Projection Operator for Solving the System of Absolute Value Equations Associated with Second-Order Cone

Cairong Chen, Dongmei Yu, Deren Han, Changfeng Ma
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6656 521 Pages:259-284