Search Results

• A Combination of High-Order Compact Finite Difference Schemes and a Splitting Method that Preserves Accuracy for the Multi-Dimensional Burgers' Equation

  Shengfeng Wang, Xiaohua Zhang, Julian Koellermeier, Daobin Ji

  2021-06-08

  45312 3137 Pages:1261-1292

• Multiquadric Finite Difference (MQ-FD) Method and Its Application

  Yong Yuan Shan, Shu Chang, Ning Qin

  2018-08-10

  41703 4262 Pages:615-638

• A Fast Cascadic Multigrid Method for Direct Finite Difference Discretizations of 3D Biharmonic Equations on Rectangular Domains

  Kejia Pan, Pengde Wang, Jinxuan Wang, Xiaoxin Wu

  2026-02-01

  5289 467 Pages:170-188

• A Novel Temporal Two-Grid Compact Finite Difference Scheme for the Viscous Burgers’ Equation

  Xiangyi Peng, Wenlin Qiu, Jiangxing Wang, Lina Ma

  2024-11-01

  16170 1520 Pages:1358-1380

• High-Order Finite Difference Schemes Based on Symmetric Conservative Metric Method: Decomposition, Geometric Meaning and Connection with Finite Volume Schemes

  Xiaogang Deng, Huajun Zhu, Yaobing Min, Huayong Liu, Meiliang Mao, Guangxue Wang

  2020-01-17

  49441 3426 Pages:436-479

• Finite Difference/Element Method for a Two-Dimensional Modified Fractional Diffusion Equation

  Na Zhang, Weihua Deng, Yujiang Wu

  2012-04-01

  42647 4727 Pages:496-518

• Collocation Methods for Hyperbolic Partial Differential Equations with Singular Sources

  Jae-Hun Jung, Wai Sun Don

  2021-07-01

  41811 4256 Pages:769-780

• A Novel Discretization Method for Semilinear Reaction-Diffusion Equation

  Luoping Chen, Yanping Chen

  2018-09-17

  44660 3200 Pages:409-423

• Cell-Average Based Neural Network Method for Hunter-Saxton Equations

  Chunjie Zhang, Changxin Qiu, Xiaofang Zhou, Xiaoming He

  2024-05-14

  26594 2496 Pages:833-859

• A Multi-Dimensional Shock-Capturing Limiter for High-Order Least Square-Based Finite Difference-Finite Volume Method on Unstructured Grids

  Yangyang Liu, Liming Yang, Chang Shu, Huangwei Zhang

  2020-12-21

  47074 3349 Pages:671-700

• A Characteristics-Mixed Volume Element Method for the Displacement Problem of Enhanced Oil Recovery

  Yirang Yuan, Aijie Cheng, Changfeng Li, Tongjun Sun, Qing Yang

  2019-06-24

  45632 3296 Pages:1084-1113

• A Spectral Split-Step Padé Method for Guided Wave Propagation

  Daniel Walsken, Pavel Petrov, Matthias Ehrhardt

  2026-01-30

  956 64 Pages:1602-1615

• Fourth-Order Compact Split-Step Finite Difference Method for Solving the Two- and Three-Dimensional Nonlinear Schrödinger Equations

  Rena Eskar, Xinlong Feng, Pengzhan Huang

  2018-09-17

  47612 3533 Pages:879-895

• Time-Space Adaptive Finite Element Method for Nonlinear Schrödinger Equation

  Yaoyao Chen, Ying Liu, Hao Wang

  2024-12-02

  14415 1211 Pages:207-223

• An Adaptive Semi-Lagrangian Level-Set Method for Convection-Diffusion Equations on Evolving Interfaces

  Weidong Shi, Jianjun Xu, Shi Shu

  2021-07-01

  42918 3879 Pages:1364-1382

• The Second-Order Mass-Conservative Characteristic Finite Difference Method for Sobolev Equation with Convection Term

  Kai Fu, Zhaohui Liu, Jiansong Zhang

  2026-06-01

  4265 99 Pages:947-960

• Assessing the Performance of a Three Dimensional Hybrid Central-WENO Finite Difference Scheme with Computation of a Sonic Injector in Supersonic Cross Flow

  Wai-Sun Don, Antonio de Gregorio, Jean-Piero Suarez, Gustaaf B. Jacobs

  2021-07-01

  43484 4416 Pages:719-736

• A Mass-Preserving Characteristic Finite Difference Method for Miscible Displacement Problem

  Jiansong Zhang, Yue Yu, Rong Qin, Zhaohui Liu

  2023-12-21

  26132 2363 Pages:164-180

• A New Finite Volume Element Formulation for the Non-Stationary Navier-Stokes Equations

  Zhendong Luo

  2014-06-01

  42988 4476 Pages:615-636

• A Splitting Method for the Degasperis-Procesi Equation Using an Optimized WENO Scheme and the Fourier Pseudospectral Method

  Yunrui Guo, Wenjing Yang, Hong Zhang, Ji Wang, Songhe Song

  2019-01-04

  47661 5206 Pages:53-71

• A Matrix-Vector Operation-Based Numerical Solution Method for Linear $m$-th Order Ordinary Differential Equations: Application to Engineering Problems

  M. Aminbaghai, M. Dorn, J. Eberhardsteiner, B. Pichler

  2013-05-01

  42066 4809 Pages:269-308

• Numerical Simulation for the Variable-Order Fractional Schrödinger Equation with the Quantum Riesz-Feller Derivative

  N. H. Sweilam, M. M. Abou Hasan

  2018-05-05

  42497 2980 Pages:990-1011

• Modelling and Numerical Valuation of Power Derivatives in Energy Markets

  Mai Huong Nguyen, Matthias Ehrhardt

  2012-04-01

  41358 5189 Pages:259-293 Open-access

• A Two-Level Crank-Nicolson Difference Scheme and Its Richardson Extrapolation Methods for a Magneto-Thermo-Elasticity Model

  Dingwen Deng, Ruyu Zhang

  2024-02-29

  27656 2887 Pages:608-635

• Effect of Nonuniform Grids on High-Order Finite Difference Method

  Dan Xu, Xiaogang Deng, Yaming Chen, Guangxue Wang, Yidao Dong

  2018-05-05

  41031 2925 Pages:1012-1034

• Two Novel Space-Time Polynomial Particular Solutions Methods for the Time-Dependent Schrödinger Equation

  Yanhua Cao, Song Luo

  2025-09-29

  7300 356 Pages:1789-1812

• The Spatial-Temporal Fourth-Order Conservative Characteristic Runge-Kutta Finite Difference Method for Convection-Dominated Diffusion Equation

  Dan Qin, Kai Fu, Dong Liang

  2025-03-14

  11575 916 Pages:732-757