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• A Novel Multipoint Stress Control Volume Method for Linear Elasticity on Quadrilateral Grids

  Shubin Fu, Lina Zhao

  2025-07-11

  5250 641 Pages:285-316

• A Second-Order Scheme with Nonuniform Time Steps for a Linear Reaction-Subdiffusion Problem

  Hong-Lin Liao, William McLean, Jiwei Zhang

  2021-05-25

  54958 3612 Pages:567-601

• A High Order Adaptive Time-Stepping Strategy and Local Discontinuous Galerkin Method for the Modified Phase Field Crystal Equation

  Ruihan Guo, Yan Xu

  2018-09-17

  67902 5550 Pages:123-151

• Linear Stability Analysis and Gas Kinetic Scheme (GKS) Simulations of Instabilities in Compressible Plane Poiseuille Flow

  Ankita Mittal, Bajrang Sharma, Sharath S. Girimaji

  2021-10-26

  47186 3308 Pages:1323-1345

• One-Dimensional Blood Flow with Discontinuous Properties and Transport: Mathematical Analysis and Numerical Schemes

  Alessandra Spilimbergo, Eleuterio F. Toro, Lucas O. Müller

  2021-01-13

  47665 3431 Pages:649-697

• An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation

  Kelong Cheng, Cheng Wang, Steven M. Wise

  2019-08-27

  50877 3663 Pages:1335-1364

• An Adaptive High Order WENO Solver for Conservation Laws

  Cheng Liu, Changhong Hu

  2019-04-28

  46793 3524 Pages:719-748

• A Novel Method for Solving Time-Dependent 2D Advection-Diffusion-Reaction Equations to Model Transfer in Nonlinear Anisotropic Media

  Ji Lin, Sergiy Reutskiy, C. S. Chen, Jun Lu

  2019-02-25

  47446 5581 Pages:233-264

• A Gas-Kinetic Riemann Solver for Stiffened Gas Interface and Its Application in Multimaterial Flows

  Qibing Li

  2018-10-11

  45179 3414 Pages:416-447

• A Nominally Second-Order Cell-Centered Finite Volume Scheme for Simulating Three-Dimensional Anisotropic Diffusion Equations on Unstructured Grids

  Pascal Jacq, Pierre-Henri Maire, Remi Abgrall

  2014-10-08

  42512 4200 Pages:841-891

• Modified Baer-Nunziato Model for the Simulation of Interfaces Between Compressible Fluids

  Qiang Wu, Xian-Guo Lu, De-Kang Mao

  2011-09-01

  38507 3859 Pages:1040-1055

• The Positivity-Preserving Finite Volume Coupled with Finite Element Method for the Keller-Segel-Navier-Stokes Model

  Ping Zeng, Guanyu Zhou

  2024-05-06

  28111 2092 Pages:1073-1119

• Troubled-Cell Indicator Based on Mean Value Property for Hybrid WENO Schemes

  Kunmin Sung, Youngsoo Ha, Myungjoo Kang

  2020-02-23

  50187 3381 Pages:949-975

• The Biharmonic Approach for Unsteady Flow Past an Impulsively Started Circular Cylinder

  Jiten C. Kalita, Shuvam Sen

  2012-12-01

  40134 4096 Pages:1163-1182

• Fully Decoupled, Linear and Unconditionally Energy Stable Schemes for the Binary Fluid-Surfactant Model

  Yuzhe Qin, Zhen Xu, Hui Zhang, Zhengru Zhang

  2020-08-27

  50340 3350 Pages:1389-1414

• Role of Fluxes in High-Order Godunov Schemes

  Matania Ben-Artzi

  2026-05-01

  230 44 Pages:1405-1420

• Time Integration Schemes Based on Neural Networks for Solving Partial Differential Equations on Coarse Grids

  Xinxin Yan, Zhideng Zhou, Xiaohan Cheng, Xiaolei Yang

  2024-12-02

  15998 1216 Pages:1262-1306

• A Finite Volume Scheme for Three-Dimensional Diffusion Equations

  Xiang Lai, Zhigiang Sheng, Guangwei Yuan

  2018-04-03

  39495 3140 Pages:650-672

• Continuum Formulation for Non-Equilibrium Shock Structure Calculation

  K. Xu & E. Josyula

  2006-01-01

  236 107 Pages:425-448

• Continuum Formulation for Non-Equilibrium Shock Structure Calculation

  Kun Xu, Eswar Josyula

  2006-01-01

  39222 4012 Pages:425-448

• High-Order Accurate Entropy Stable Finite Difference Schemes for the Compressible Euler Equations with the van der Waals Equation of State on Adaptive Moving Meshes

  Shangting Li, Huazhong Tang

  2025-08-08

  4737 503 Pages:538-574

• An Accurate and Scalable Direction-Splitting Solver for Flows Laden with Non-Spherical Rigid Bodies – Part 1: Fixed Rigid Bodies

  Aashish Goyal, Anthony Wachs

  2023-11-08

  31775 2641 Pages:1079-1132

• Analysis of Discontinuity Detectors and Hybrid WCNS Schemes Based on Waveform Recognition

  Hao Zhang, Yidao Dong, Shichao Zheng, Xiaogang Deng

  2023-09-04

  34301 2739 Pages:418-455

• A Quadratic Serendipity Finite Volume Element Method on Arbitrary Convex Polygonal Meshes

  Yanlong Zhang

  2023-08-14

  34657 3418 Pages:116-131

• Anomalous Sorption Kinetics of Self-Interacting Particles by a Spherical Trap

  Antonio Raudino, Antonio Grassi, Giuseppe Lombardo, Giovanni Russo, Clarissa Astuto, Mario Corti

  2022-03-03

  45665 3211 Pages:707-738

• A Decoupled Energy Stable Adaptive Finite Element Method for Cahn–Hilliard–Navier–Stokes Equations

  Yaoyao Chen, Yunqing Huang, Nianyu Yi

  2021-02-25

  48019 3482 Pages:1186-1212

• Implementation of Finite Difference Weighted Compact Nonlinear Schemes with the Two-Stage Fourth-Order Accurate Temporal Discretization

  Zhiwei He, Fujie Gao, Baolin Tian, Jiequan Li

  2020-05-06

  49898 3699 Pages:1470-1484