Search Results

• Fourth-Order Splitting Methods for Time-Dependant Differential Equations

  Jürgen Geiser

  2008-01-01

  39264 3571 Pages:321-339

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

  Liang Pan, Jiequan Li, Kun Xu

  2017-11-02

  41457 4371 Pages:711-736 Open-access

• Maximum-Principle-Preserving High-Order Conservative Difference Schemes for Convection-Dominated Diffusion Equations

  Lele Liu, Hong Zhang, Xu Qian, Songhe Song

  2024-12-11

  12314 1285 Pages:855-881

• A Local Deep Learning Method for Solving High Order Partial Differential Equations

  Jiang Yang, Quanhui Zhu

  2022-02-09

  47238 4622 Pages:42-67

• Fast Second-Order Evaluation for Variable-Order Caputo Fractional Derivative with Applications to Fractional Sub-Diffusion Equations

  Jia-Li Zhang, Zhi-Wei Fang, Hai-Wei Sun

  2022-02-09

  44567 3625 Pages:200-226

• A Second-Order Semi-Implicit Method for the Inertial Landau-Lifshitz-Gilbert Equation

  Panchi Li, Lei Yang, Jin Lan, Rui Du, Jingrun Chen

  2023-01-13

  38616 3452 Pages:182-203

• A High-Order Kernel-Free Boundary Integral Method for Incompressible Flow Equations in Two Space Dimensions

  Yaning Xie, Wenjun Ying

  2020-03-16

  44329 2990 Pages:595-619

• High-Order Methods for Exotic Options and Greeks Under Regime-Switching Jump-Diffusion Models

  Jingtang Ma, Han Wang, Zhiqiang Zhou, Zhijun Tan

  2020-03-09

  44520 2803 Pages:497-515

• A Linearized Second-Order Difference Scheme for the Nonlinear Time-Fractional Fourth-Order Reaction-Diffusion Equation

  Hong Sun, Zhi-zhong Sun, Rui Du

  2019-10-12

  48828 2746 Pages:1168-1190

• 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

  5182 458 Pages:703-732

• Error Analysis of the Deep Mixed Residual Method for High-Order Elliptic Equations

  Mengjia Bai, Jingrun Chen, Rui Du, Zhiwei Sun

  2025-05-16

  7578 592 Pages:395-436

• Analysis and Efficient Implementation of Quadratic Spline Collocation ADI Methods for Variable-Order Time-Fractional Mobile-Immobile Diffusion Equations

  Jun Liu, Hongfei Fu, Bingyin Zhang, Jiansong Zhang

  2025-04-06

  7027 746 Pages:226-258

• 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

  40774 9016502 Pages:511-540

• 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

  55831 3408 Pages:279-303

• Order Reduced Schemes for the Fourth Order Eigenvalue Problems on Multi-Connected Planar Domains

  Yingxia Xi, Xia Ji, Shuo Zhang

  2021-09-10

  46273 2774 Pages:920-944

• Numerical Analysis of a High-Order Scheme for Nonlinear Fractional Differential Equations with Uniform Accuracy

  Junying Cao, Zhenning Cai

  2020-10-09

  48460 4317 Pages:71-112

• Local Convergence for a Fifth Order Traub-Steffensen-Chebyshev-Like Composition Free of Derivatives in Banach Space

  Ioannis K. Argyros, Santhosh George

  2018-09-17

  41909 4260 Pages:160-168

• High Order Hierarchical Divergence-Free Constrained Transport $H(div)$ Finite Element Method for Magnetic Induction Equation

  Wei Cai, Jun Hu, Shangyou Zhang

  2020-11-03

  39339 2644 Pages:243-254

• The Numerical Simulation of Space-Time Variable Fractional Order Diffusion Equation

  Hongmei Zhang, Shujun Shen

  2013-06-01

  40252 3668 Pages:571-585

• A Second-Order Method for the Electromagnetic Scattering from a Large Cavity

  Yingxi Wang, Kui Du, Weiwei Sun

  2008-01-01

  39716 3952 Pages:357-382

• New Sixth-Order Compact Schemes for Poisson/Helmholtz Equations

  Kejia Pan, Kang Fu, Jin Li, Hongling Hu, Zhilin Li

  2023-04-10

  38333 2962 Pages:393-409

• Numerical Solution of Partial Differential Equations in Arbitrary Shaped Domains Using Cartesian Cut-Stencil Finite Difference Method. Part II: Higher-Order Schemes

  M. Esmaeilzadeh, R.M. Barron

  2022-07-19

  38625 2839 Pages:819-850

• Symmetric-Adjoint and Symplectic-Adjoint Runge-Kutta Methods and Their Applications

  Geng Sun, Siqing Gan, Hongyu Liu, Zaijiu Shang

  2022-03-23

  45905 3034 Pages:304-335

• A Stabilized Low Order Finite Element Method for Three Dimensional Elasticity Problems

  Gwanghyun Jo, Do Y. Kwak

  2020-03-09

  44648 2959 Pages:281-295

• The Generalized Order Tensor Complementarity Problems

  Maolin Che, Liqun Qi, Yimin Wei

  2020-03-06

  43250 4486 Pages:131-149

• A Consistent Fourth-Order Compact Finite Difference Scheme for Solving Vorticity-Stream Function Form of Incompressible Navier-Stokes Equations

  Tao Wang, Tiegang Liu

  2018-09-18

  44686 4982 Pages:312-330

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

  Buyun Chen, Dongdong He, Kejia Pan

  2018-09-17

  42345 2923 Pages:299-320