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• A Time Second-Order Characteristic Finite Element Method for Nonlinear Advection-Diffusion Equations

  Baohui Hou, Dong Liang

  2019-02-22

  36218 2763 Pages:276-296

• The Arakawa Jacobian Method and a Fourth-Order Essentially Nonoscillatory Scheme for the Beta-Plane Barotropic Equations

  Abderrahim Kacimi, Tarik Aliziane, Boualem Khouider

  2013-10-01

  34078 2701 Pages:571-587

• A Multigrid-Based Fourth Order Finite Difference Method for Elliptic Interface Problems with Variable Coefficients

  Yiming Ren, Shan Zhao

  2025-08-04

  6363 553 Pages:860-896

• Symmetric High Order Gautschi-Type Exponential Wave Integrators Pseudospectral Method for the Nonlinear Klein-Gordon Equation in the Nonrelativistic Limit Regime

  Yan Wang, Xiaofei Zhao

  2018-08-15

  32212 2590 Pages:405-427

• Construction and Analysis of Weighted Sequential Splitting FDTD Methods for the 3D Maxwell's Equations

  Vrushali A. Bokil, Puttha Sakkaplangkul

  2018-08-15

  32543 2604 Pages:747-784

• Numerical Analysis of Augmented FVM for Nonlinear Time Fractional Degenerate Parabolic Equation

  Muhammad Aamir Ali, Zhiyue Zhang, Jianqiang Xie

  2025-03-14

  8388 839 Pages:340-360

• Unconditional Energy Stability and Solvability for a C0 Interior Penalty Method for a Sixth-Order Equation Modeling Microemulsions

  Amanda E. Diegel, Natasha S. Sharma

  2023-05-22

  29615 2565 Pages:459-477

• The Time High-Order Energy-Preserving Schemes for the Nonlocal Benjamin-Ono Equation

  Chunguang Chen, Dong Liang, Shusen Xie

  2020-08-04

  32228 2694 Pages:543-556

• Efficient Galerkin-Mixed FEMs for Incompressible Miscible Flow in Porous Media

  Weiwei Sun, Chengda Wu

  2020-05-20

  35319 2716 Pages:350-367

• Even-Odd Cycled High-Order Splitting Finite Difference Time Domain Method for Maxwell's Equations

  Maninder Sarai, Dong Liang

  2021-02-04

  33213 3437 Pages:79-99

• Analysis of a Second-Order, Unconditionally Stable, Partitioned Method for the Evolutionary Stokes-Darcy Model

  Michaela Kubacki & Marina Moraiti

  2015-12-01

  34134 2679 Pages:704-730

• A Higher-Order Ensemble/Proper Orthogonal Decomposition Method for the Nonstationary Navier-Stokes Equations

  Max Gunzburger, Nan Jiang, Michael Schneier

  2018-08-15

  33045 2525 Pages:608-627

• Positivity-Preserving High-Order Schemes for Conservation Laws on Arbitrarily Distributed Point Clouds with a Simple WENO Limiter

  Jie Du, Chi-Wang Shu

  2018-08-14

  43622 4147 Pages:1-25

• The Time Second-Order Characteristic FEM for Nonlinear Multicomponent Aerosol Dynamic Equations in Environment

  Kai Fu, Dong Liang, Wenqia Wang, Ming Cui

  2015-12-01

  34360 2679 Pages:211-229

• An Unconditionally Stable Second Order Method for the Luo-Rudy 1 Model Used in Simulations of Defibrillation

  Monica Hanslien, Robert Artebrant, Joakim Sundnes, Aslak Tveito

  2009-06-01

  30576 2487 Pages:627-641

• Convexity Splitting in a Phase Field Model for Surface Diffusion

  Rainer Backofen, Steven M. Wise, Marco Salvalaglio, Axel Voigt

  2019-02-22

  39182 4381 Pages:192-209 Open-access

• An Efficient Rotational Pressure-Correction Scheme for the 2D/3D Navier-Stokes/Darcy Coupling Problem

  Minting Zhao, Jiawei Gao, Md. Abdullah AL Mahbub, Dan Chen

  2024-10-09

  13997 1170 Pages:850-878

• Pollution-Free Finite Difference Schemes for Non-Homogeneous Helmholtz Equation

  K. Wang, Y. S. Wong

  2014-11-01

  33878 2746 Pages:787-815

• Error Estimates for the Second Order Semi-Discrete Stabilized Gauge-Uzawa Method for the Navier-Stokes Equations

  J.-H. Pyo

  2018-08-15

  36241 4053 Pages:24-41

• A Splitting Spectral Method for the Nonlinear Dirac-Poisson Equations

  Dandan Wang, Yong Zhang, Hanquan Wang

  2023-05-22

  29083 2420 Pages:577-595

• Numerical Analysis of the Finite Difference Time Domain Methods with High Accuracy in Time for Maxwell Equations

  Liping Gao, Xiaosong Zhang, Rengang Shi

  2025-08-04

  6362 550 Pages:843-859

• A Convergence Analysis of Orthogonal Spline Collocation for Solving Two-Point Boundary Value Problems Without the Boundary Subintervals

  Bernard Bialecki, Ryan I. Fernandes

  2016-05-03

  31562 2669 Pages:383-402

• New Shock Detector and Improved Control Function for Shock-Boundary Layer Interaction

  Chaoqun Liu, Huankun Fu, Ping Lu

  2012-09-01

  32829 2523 Pages:276-288

• Extrapolation for the Second Order Elliptic Problems by Mixed Finite Element Methods in Three Dimensions

  H. Xie, S. Jia

  2008-05-01

  32745 3990 Pages:112-131

• An Improved WPE Method for Solving Discontinuous Fokker-Planck Equations

  Hongyun Wang

  2008-05-01

  32126 3969 Pages:1-23

• Analysis of Harmonic Average Method for Interface Problems with Discontinuous Solutions and Fluxes

  Kejia Pan, Hengrui Xu, Zhilin Li

  2026-03-11

  258 50 Pages:390–407

• Efficient and Long-Time Accurate Second-Order Decoupled Method for the Blood Solute Dynamics Model

  Sabah Atrout, Md. Abdullah Al Mahbub, Chenyang Li, Haibiao Zheng

  2025-10-21

  5806 448 Pages:24-62