Search Results

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

  Shijun Liao

  2025-10-14

  4813 338 Pages:1-10

• High-Order Numerical Approximation and Error Estimation for Fourth-Order Equation in Complex Cylindrical Domain

  Xuenan Zhao, Jing An, Juan Zhang

  2025-11-28

  93 3

• A Fully Discrete Method for Space-Time Fractional Parabolic Problems

  Zunlin Tan, Xiaoping Xie

  2025-11-28

  91 3

• 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

  168 4

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

  Anh Ha Le, Quan M. Nguyen

  2025-11-22

  185 2

• 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

  2025-11-22

  169 2

• 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

  2025-11-22

  158 3

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

  Hongyu Chen, Guanghui Hu, Defang Ouyang

  2025-11-19

  209 3

• 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

  44375 3171 Pages:942-956

• Quadratic Finite Volume Method for a Nonlinear Elliptic Problem

  Yanwei Du, Yonghai Li, Zhiqiang Sheng

  2019-06-24

  43759 3175 Pages:838-869

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

  Nan Wang, Jinru Chen

  2020-06-01

  48025 3484 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

  48553 3358 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

  47190 3235 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

  48329 3301 Pages:336-361

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

  Yunxia Wang, Xuefeng Han, Zhiyong Si

  2020-03-06

  48557 4939 Pages:251-277

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

  Ruo Li, Yanli Wang, Chengbao Yao

  2020-03-06

  48331 4824 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

  48379 4769 Pages:101-140

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

  Jiequan Li

  2019-04-16

  48995 3226 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

  43675 4554 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

  44347 4626 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

  46374 3884 Pages:1384-1417

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

  Bo Tang, Yunqing Huang, Ning Dong

  2021-07-01

  45078 4041 Pages:1327-1343

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

  Jichun Li, Zhiwei Fang

  2021-07-01

  48912 4138 Pages:1305-1326

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

  Qiaolin He, Xiaomin Lv

  2018-09-17

  44789 3105 Pages:634-651

• Decoupled Scheme for Non-Stationary Viscoelastic Fluid Flow

  Md. Abdullah Al Mahbub, Shahid Hussain, Nasrin Jahan Nasu, Haibiao Zheng

  2018-09-17

  44679 3089 Pages:1191-1226

• Alternating Direction Implicit Finite Element Method for Multi-Dimensional Black-Scholes Models

  Limei Li, Alexander Lapin, Shuhua Zhang

  2019-01-11

  44992 3044 Pages:535-558

• Two-Level Hierarchical PCG Methods for the Quadratic FEM Discretizations of 2D Concrete Aggregate Models

  Yingxiong Xiao, Heng Chen and Lingjie Xie

  2021-07-01

  47916 4194 Pages:1376-1397