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• A $\theta$-$L$ Approach for Solving Solid-State Dewetting Problems

  Weijie Huang, Wei Jiang, Yan Wang

  2022-10-06

  37162 2879 Pages:275-293

• Physics Informed Neural Networks (PINNs) For Approximating Nonlinear Dispersive PDEs

  Genming Bai, Ujjwal Koley, Siddhartha Mishra, Roberto Molinaro

  2021-11-19

  41374 3767 Pages:816-847

• A Leap Frog Finite Difference Scheme for a Class of Nonlinear Schrödinger Equations of High Order

  Wen-Ping Zeng

  1999-04-02

  32517 3371 Pages:133-138

• A First-Order, Semi-Implicit, and Unconditionally Energy-Stable Scheme for an Incompressible Ferrohydrodynamics Flow

  Xiaojing Dong, Huayi Huang, Yunqing Huang

  2025-07-12

  6178 619 Pages:866-897

• A Decoupled, Linearly Implicit and Unconditionally Energy Stable Scheme for the Coupled Cahn-Hilliard Systems

  Dan Zhao, Dongfang Li, Yanbin Tang, Jinming Wen

  2024-11-21

  16190 1538 Pages:708-730

• Crank-Nicolson Galerkin Approximations for Logarithmic Klein-Gordon Equation

  Fang Chen, Meng Li, Yanmin Zhao

  2024-11-21

  16131 1430 Pages:641-672

• A New Second Order Numerical Scheme for Solving Decoupled Mean-Field FBSDEs with Jumps

  Yabing Sun, Weidong Zhao

  2024-11-18

  3944 452 Pages:229-256

• A Stabilizer Free Weak Galerkin Finite Element Method for Brinkman Equations

  Haoning Dang, Qilong Zhai, Ran Zhang, Hui Peng

  2024-11-18

  14168 1365 Pages:1-17

• A Finite Difference Method for Two Dimensional Elliptic Interface Problems with Imperfect Contact

  Fujun Cao, Dongfang Yuan, Dongxu Jia, Guangwei Yuan

  2024-07-18

  24157 1711 Pages:1328-1355

• Invariants-Preserving Du Fort-Frankel Schemes and Their Analyses for Nonlinear Schrödinger Equations with Wave Operator

  Dingwen Deng, Zhijun Li

  2024-04-08

  19253 1939 Pages:814-850

• Sharp Pointwise-in-Time Error Estimate of L1 Scheme for Nonlinear Subdiffusion Equations

  Dongfang Li, Hongyu Qin, Jiwei Zhang

  2024-04-08

  19207 1884 Pages:662-678

• Multirate Time Iterative Scheme with Multiphysics Finite Element Method for a Nonlinear Poroelasticity

  Zhihao Ge, Hairun Li, Tingting Li

  2024-01-16

  25706 2269 Pages:597-616

• A Scalar Auxiliary Variable (SAV) Finite Element Numerical Scheme for the Cahn-Hilliard-Hele-Shaw System with Dynamic Boundary Conditions

  Changhui Yao, Fengdan Zhang, Cheng Wang

  2024-01-16

  25523 2200 Pages:544-569

• Unconditional Error Analysis of VEMs for a Generalized Nonlinear Schrödinger Equation

  Meng Li, Jikun Zhao, Shaochun Chen

  2024-01-16

  25906 2173 Pages:500-543

• Banded $M$-Matrix Splitting Preconditioner for Riesz Space Fractional Reaction-Dispersion Equation

  Shiping Tang, Aili Yang, Yujiang Wu

  2024-01-16

  26360 2096 Pages:372-389

• Legendre-Gauss-Radau Spectral Collocation Method for Nonlinear Second-Order Initial Value Problems with Applications to Wave Equations

  Lina Wang, Qian Tong, Lijun Yi, Mingzhu Zhang

  2023-12-01

  29360 2742 Pages:217-247

• The Truncated EM Method for Jump-Diffusion SDDEs with Super-Linearly Growing Diffusion and Jump Coefficients

  Shounian Deng, Chen Fei, Weiyin Fei, Xuerong Mao

  2023-12-01

  28265 2608 Pages:178-216

• Alternating Optimization Method for Isogeometric Topology Optimization with Stress Constraints

  Xiaoya Zhai

  2023-12-01

  28550 2691 Pages:134-155

• Solving Nonlinear Delay-Differential-Algebraic Equations with Singular Perturbation via Block Boundary Value Methods

  Xiaoqiang Yan, Xu Qian, Hong Zhang, Songhe Song, Xiujun Cheng

  2023-04-25

  38649 3255 Pages:643-662

• Positivity-Preserving Local Discontinuous Galerkin Method for Pattern Formation Dynamical Model in Polymerizing Actin Flocks

  Xiuhui Guo, Lulu Tian, Yang Yang, Hui Guo

  2023-04-25

  38741 3196 Pages:623-642

• Stable Boundary Conditions and Discretization for $P_N$ Equations

  Jonas Bünger, Neeraj Sarna, Manuel Torrilhon

  2022-11-08

  302167 3449 Pages:977-1003

• Numerical Analysis of a Problem Involving a Viscoelastic Body with Double Porosity

  Noelia Bazarra, José R. Fernández, Mari Carme Leseduarte, Antonio Magaña, Ramón Quintanilla

  2022-10-06

  45317 3023 Pages:415-436

• A Fast Compact Difference Method for Two-Dimensional Nonlinear Space-Fractional Complex Ginzburg-Landau Equations

  Lu Zhang, Qifeng Zhang, Hai-Wei Sun

  2021-10-15

  41508 2974 Pages:708-732

• Schwarz Method for Financial Engineering

  Guangbao Guo, Weidong Zhao

  2021-07-05

  39114 2912 Pages:538-555

• Mixed Finite Element Methods for Fractional Navier-Stokes Equations

  Xiaocui Li, Xu You

  2021-06-10

  42366 4342 Pages:130-146

• A Hybrid Explicit-Implicit Scheme for the Time-Dependent Wigner Equation

  Haiyan Jiang, Tiao Lu, Xu Yin

  2021-06-10

  42229 4327 Pages:22-42

• Discontinuous Galerkin Methods and Their Adaptivity for the Tempered Fractional (Convection) Diffusion Equations

  Xudong Wang, Weihua Deng

  2021-07-01

  42862 3833 Pages:839-867