Search Results

• A Crank-Nicolson Finite Difference Scheme for the (2+1)D Saturable Nonlinear Schrödinger Equation with Generalized Damping

  Anh Ha Le, Quan M. Nguyen

  2026-06-01

  4137 73 Pages:1009-1036

• A Discrete Collocation Technique Using the Thin Plate Splines for Solving a Certain Class of Integro-Differential Equations Arising in Biology Models

  Pouria Assari, Fatemeh Asadi-Mehregan, Mehdi Dehghan

  2026-06-01

  4062 66 Pages:1058-1086

• A Ciarlet-Raviart Mixed Finite Element Method for Optimal Control Problems Governed by a Fourth Order Bi-Wave Equation

  Hongbo Guan, Wen Liu, Yong Yang

  2026-06-01

  4068 63 Pages:1037-1057

• Adaptive Finite Element Solutions of a Diffusion Model for Drug Release in PLGA Microspheres

  Hongyu Chen, Guanghui Hu, Defang Ouyang

  2026-06-01

  4113 75 Pages:897-922

• First-Order, Unconditionally Stable, Fully Decoupled Methods for the Penalty Ericksen-Leslie System with Variable Density

  Zhaowei Wang, Danxia Wang, Hongen Jia, Chenhui Zhang

  2026-04-01

  4821 153 Pages:666-699

• Decoupled and Unconditionally Energy Stable Numerical Schemes for the Thermally Coupled Incompressible Magnetohydrodynamics Flow

  Chao Lu, Qinghua Li, Tong Zhang

  2026-04-01

  5024 197 Pages:601-641

• Inexact Iterative WYD Method for Eigenvalue Problems

  Fangyi Zheng, Jianyang Luo, Shuli Sun

  2026-02-01

  5025 343 Pages:93-108

• The Nonconforming Finite Element Methods for Two Transmission Eigenvalue Problems in Inverse Scattering

  Lingling Sun, Hai Bi, Yidu Yang

  2025-10-14

  5161 343 Pages:37-66

• HAM-Schrödingerisation: A Generic Framework of Quantum Simulation for Any Nonlinear PDEs

  Shijun Liao

  2026-02-01

  5353 451 Pages:1-10

• A First-Order Linear Energy Stable Scheme for the Cahn–Hilliard Equation with Dynamic Boundary Conditions Under the Effect of Hyperbolic Relaxation

  Minghui Yu, Rui Chen

  2026-02-06

  47 0

• Error Analyses of the Single Hidden Layer Neural Network Based on the Extreme Learning Machine for Solving Differential Equations

  Baixue Xing, Hongliang Liu, Haodong Li, Zhenxing Fu

  2025-11-22

  642 9

• The Fast Implementation of the ADI-CN Method for a Class of Two-Dimensional Riesz Space-Fractional Diffusion Equations

  Zhiyong Xing, Liping Wen

  2019-06-24

  44492 3193 Pages:942-956

• Quadratic Finite Volume Method for a Nonlinear Elliptic Problem

  Yanwei Du, Yonghai Li, Zhiqiang Sheng

  2019-06-24

  43881 3201 Pages:838-869

• A Nonconforming Nitsche's Extended Finite Element Method for Elliptic Interface Problems

  Nan Wang, Jinru Chen

  2020-06-01

  48180 3509 Pages:879-901

• Two-Grid Stabilized FEMs Based on Newton Type Linearization for the Steady-State Natural Convection Problem

  Yunbo Yang, Yaolin Jiang, Qiongxiang Kong

  2020-01-17

  48659 3387 Pages:407-435

• A New Higher Order Fractional-Step Method for the Incompressible Navier-Stokes Equations

  Rong An, Can Zhou, Jian Su

  2020-01-17

  47303 3264 Pages:362-385

• An Alternating Direction Method of Multipliers for Optimal Control Problems Constrained with Elliptic Equations

  Jinda Yang, Kai Zhang, Haiming Song, Ting Cheng

  2020-01-17

  48447 3333 Pages:336-361

• A Viscosity-Splitting Method for the Navier-Stokes/ Darcy Problem

  Yunxia Wang, Xuefeng Han, Zhiyong Si

  2020-03-06

  48690 5012 Pages:251-277

• A Robust Riemann Solver for Multiple Hydro-Elastoplastic Solid Mediums

  Ruo Li, Yanli Wang, Chengbao Yao

  2020-03-06

  48477 4881 Pages:212-250 Open-access

• Perfectly Matched Layer Method for Acoustic Scattering Problem by a Locally Perturbed Line with Impedance Boundary Condition

  Xue Jiang, Xujing Li

  2020-03-06

  48524 4816 Pages:101-140

• Fundamentals of Lax-Wendroff Type Approach to Hyperbolic Problems with Discontinuities

  Jiequan Li

  2019-04-16

  49136 3244 Pages:571-582

• A Comparative Study of Finite Element and Finite Difference Methods for Two-Dimensional Space-Fractional Advection-Dispersion Equation

  Guofei Pang, Wen Chen, Kam Yim Sze

  2018-05-05

  43778 4639 Pages:166-186

• A High-Order Discontinuous Galerkin Method for the Two-Dimensional Time-Domain Maxwell's Equations on Curved Mesh

  Hongqiang Lu, Yida Xu, Yukun Gao, Wanglong Qin, Qiang Sun

  2018-05-05

  44439 4678 Pages:104-116

• An Upwind Mixed Volume Element-Fractional Step Method on a Changing Mesh for Compressible Contamination Treatment from Nuclear Waste

  Changfeng Li, Yirang Yuan, Huailing Song

  2021-07-01

  46515 3905 Pages:1384-1417

• Doubling Algorithm for Nonsymmetric Algebraic Riccati Equations Based on a Generalized Transformation

  Bo Tang, Yunqing Huang, Ning Dong

  2021-07-01

  45223 4087 Pages:1327-1343

• Analysis and Application of Stochastic Collocation Methods for Maxwell's Equations with Random Inputs

  Jichun Li, Zhiwei Fang

  2021-07-01

  49060 4173 Pages:1305-1326

• A New Fictitious Domain Method for Elliptic Problems with the Third Type Boundary Conditions

  Qiaolin He, Xiaomin Lv

  2018-09-17

  44924 3135 Pages:634-651