Search Results

• A Few Benchmark Test Cases for Higher-Order Euler Solvers

  Liang Pan, Jiequan Li, Kun Xu

  2017-11-02

  41454 4369 Pages:711-736 Open-access

• Convergence Analysis on a Second-Order, Positive, and Unconditional Energy Dissipative Scheme for the Poisson-Nernst-Planck Equations

  Jie Ding, Xiang Ji, Ziheng Xu

  2025-09-01

  5177 456 Pages:703-732

• A Third Order Accurate in Time, BDF-Type Energy Stable Scheme for the Cahn-Hilliard Equation

  Kelong Cheng, Cheng Wang, Steven M. Wise, Yanmei Wu

  2022-03-23

  55829 3405 Pages:279-303

• High-Order Accurate Runge-Kutta (Local) Discontinuous Galerkin Methods for One- and Two-Dimensional Fractional Diffusion Equations

  Xia Ji, Huazhong Tang

  2012-05-01

  41800 3684 Pages:333-358

• Numerical Algorithm with Fourth-Order Spatial Accuracy for Solving the Time-Fractional Dual-Phase-Lagging Nanoscale Heat Conduction Equation

  Cui-Cui Ji, Weizhong Dai

  2023-04-10

  40768 9016501 Pages:511-540

• A Second Order Accurate in Time, Energy Stable Finite Element Scheme for a Liquid Thin Film Coarsening Model

  Maoqin Yuan, Lixiu Dong, Juan Zhang

  2025-04-06

  7078 763 Pages:127-156

• A Linearized High-Order Combined Compact Difference Scheme for Multi-Dimensional Coupled Burgers' Equations

  Buyun Chen, Dongdong He, Kejia Pan

  2018-09-17

  42340 2921 Pages:299-320

• Second Order Multigrid Methods for Elliptic Problems with Discontinuous Coefficients on an Arbitrary Interface, I: One Dimensional Problems

  Armando Coco, Giovanni Russo

  2012-05-01

  41540 4545 Pages:19-42 Open-access

• An Efficient Cartesian Grid-Based Method for Scattering Problems with Inhomogeneous Media

  Haixia Dong, Wenjun Ying, Jiwei Zhang

  2023-04-10

  36405 2652 Pages:541-564

• Efficient and Accurate Legendre Spectral Element Methods for One-Dimensional Higher Order Problems

  Yang Zhang, Xuhong Yu, Zhongqing Wang

  2021-01-26

  44905 2602 Pages:461-487

• Computing Viscous Flow in an Elastic Tube

  Yi Li, Ioannis Sgouralis, Anita T. Layton

  2014-07-01

  39863 3623 Pages:555-574

• An Asymptotic Preserving Method for the Weakly Nonlinear Klein-Gordon Equation

  Dandan Wang, Hanquan Wang

  2025-12-17

  514 183 Pages:106-128

• A Third-Order Implicit-Explicit Runge-Kutta Method for Landau-Lifshitz Equation with Arbitrary Damping Parameters

  Yan Gui, Rui Du, Cheng Wang

  2024-12-11

  11977 1302 Pages:1041-1073

• Newton-Multigrid for Biological Reaction-Diffusion Problems with Random Coefficients

  Eveline Rosseel, Nico Scheerlinck, Stefan Vandewalle

  2012-05-01

  40924 4589 Pages:62-84 Open-access

• Finite Difference Schemes for the Variable Coefficients Single and Multi-Term Time-Fractional Diffusion Equations with Non-Smooth Solutions on Graded and Uniform Meshes

  Mingrong Cui

  2019-04-22

  44211 2849 Pages:845-866

• A BDF2-SSAV Numerical Scheme with Fourier-Spectral Method for a Droplet Thin Film Coarsening Model

  Juan Zhang, Lixiu Dong, Zhengru Zhang

  2024-08-30

  17587 1435 Pages:777-804

• An Accurate Numerical Scheme for Mean-Field Forward and Backward SDEs with Jumps

  Yabing Sun, Jie Yang, Weidong Zhao

  2024-02-26

  23811 2360 Pages:243-274

• Optimal Rate Convergence Analysis of a Second Order Numerical Scheme for the Poisson-Nernst-Planck System

  Jie Ding, Cheng Wang, Shenggao Zhou

  2018-12-17

  42337 2893 Pages:607-626

• An Efficient and Accurate Spectral Method for Acoustic Scattering in Elliptic Domains

  Qirong Fang, Jie Shen, Li-Lian Wang

  2009-02-01

  41223 3843 Pages:258-274

• On Polar Decomposition of Tensors with Einstein Product and a Novel Iterative Parametric Method

  Raziyeh Erfanifar, Masoud Hajarian, Khosro Sayevand

  2024-02-26

  27035 2676 Pages:69-92

• Highly Accurate Numerical Schemes for Stochastic Optimal Control via FBSDEs

  Yu Fu, Weidong Zhao, Tao Zhou

  2020-03-09

  48702 3083 Pages:296-319

• A Fourth Order Compact Scheme for Transport Equation with Discontinuous Coefficients

  Suruchi Singh, Kazufumi Ito, Swarn Singh, Zhilin Li

  2021-01-13

  42298 2860 Pages:782-794

• Multi-Product Expansion with Suzuki's Method: Generalization

  Jürgen Geiser

  2011-04-01

  39256 3952 Pages:68-91

• Multidomain Hybrid Direct DG and Central Difference Methods for Viscous Terms in Hyperbolic-Parabolic Equations

  Weixiong Yuan, Tiegang Liu, Bin Zhang, Kui Cao, Kun Wang

  2024-02-26

  28641 2930 Pages:1-36

• A Physics-Informed Structure-Preserving Numerical Scheme for the Phase-Field Hydrodynamic Model of Ternary Fluid Flows

  Qi Hong, Yuezheng Gong, Jia Zhao

  2023-08-29

  35649 3014 Pages:565-596

• Numerical Solution of Partial Differential Equations in Arbitrary Shaped Domains Using Cartesian Cut-Stencil Finite Difference Method. Part I: Concepts and Fundamentals

  M. Esmaeilzadeh, R.M. Barron, R. Balachandar

  2020-12-02

  53486 3132 Pages:881-907

• Assessment of Noise Attenuation by Thin Reflecting Barriers Using Dispersion Relation Preserving Scheme

  Jitenjaya Pradhan, Yogesh G. Bhumkar

  2019-04-22

  42783 2727 Pages:942-968