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

  Baohui Hou, Dong Liang

  2019-02-22

  36116 2732 Pages:276-296

• An Error Estimate of a Eulerian-Lagrangian Localized Adjoint Method for a Space-Fractional Advection Diffusion Equation

  Tingting Wang, Xiaofan Li, Hong Wang

  2020-02-03

  57770 3321 Pages:151-171

• An Optimal-Order Error Estimate for a Finite Difference Method to Transient Degenerate Advection-Diffusion Equations

  T. Lu & J. Jia

  2012-09-01

  32806 3791 Pages:56-72

• Solution of Advection Diffusion Equations in Two Space Dimensions by a Rational Eulerian Lagrangian Localized Adjoint Method over Hexagonal Grid

  M. Al-Lawatia

  2012-09-01

  33074 3931 Pages:43-55

• An Immersed Eulerian-Lagrangian Localized Adjoint Method for Transient Advection-Diffusion Equations with Interfaces

  K. Wang, H. Wang & X. Yu

  2012-09-01

  32952 3711 Pages:29-42

• Least-Squares Neural Network (LSNN) Method for Linear Advection-Reaction Equation: Non-Constant Jumps

  Zhiqiang Cai, Junpyo Choi, Min Liu

  2024-10-08

  13159 1062 Pages:609-628

• A Pre-Processing Moving Mesh Method for Discontinuous Galerkin Approximations of Advection-Diffusion-Reaction Problems

  P. F. Antonietti & P. Houston

  2008-05-01

  30887 3306 Pages:704-728

• A Cell-Centered Finite Element Method with Imposed Flux Continuity and Streamline Upwind Technique for Advection-Diffusion Problems on General Meshes

  Ong Thanh Hai, Nguyen T. Hong Thai, Tran Thien Thanh

  2025-03-14

  8166 773 Pages:401-431

• Discussion of Dynamics and Operator Splitting Techniques for Two-Phase Flow with Gravity

  K.-A. Lie, J. R. Natvig, H. M. Nilsen

  2012-08-06

  34511 2458 Pages:684-700

• Numerical Simulation of Reservoir Multicomponent Fluid Mixing

  Z. Chen & H. Chen

  2012-08-06

  34842 2662 Pages:529-542

• A Uniformly Optimal-Order Estimate for Bilinear Finite Element Method for Transient Advection-Diffusion Equations

  Q. Lin, K. Wang, H. Wang & X. Yin

  2012-09-01

  33417 3800 Pages:73-85

• A Uniformly Optimal-Order Error Estimate of an ELLAM Scheme for Unsteady-State Advection-Diffusion Equations

  Kaixin Wang

  2008-05-01

  30956 2462 Pages:286-302

• Multi-Algorithmic Methods for Coupled Hyperbolic-Parabolic Problems

  A. Ern, J. Proft

  2006-03-01

  30069 3647 Pages:94-114

• Linear Advection with Ill-Posed Boundary Conditions via $L^1$-Minimization

  Jean-Luc Guermond, Bojan Popov

  2007-04-01

  32434 3829 Pages:39-47

• Homogenization of Secondary-Flux Models of Partially Fissured Media

  M. A. Peter, R. E. Showalter

  2018-07-09

  31076 2502 Pages:150-156

• A Three-Stage Operator-Splitting/Finite Element Method for the Numerical Simulation of Liquid Crystal Flow

  R. Glowinski, P. Lin, X.-B. Pan

  2009-08-07

  31179 2429 Pages:440-454

• Numerical Solutions for Nonequilibrium Solute Transport with First-Order Decay and Zero-Order Production

  M. Cui & Y. Deng

  2012-09-01

  32883 2517 Pages:247-256

• $hp$-Version Interior Penalty Discontinuous Galerkin Finite Element Methods on Anisotropic Meshes

  Emmanuil H. Georgoulis

  2006-03-01

  31102 3826 Pages:52-79

• Finite Volume Multilevel Approximation of the Shallow Water Equations with a Time Explicit Scheme

  A. Bousquet, M. Marion & R. Temam

  2014-11-01

  32661 2726 Pages:762-786

• 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

  34272 2637 Pages:211-229

• Flow and Transport When Scales Are Not Separated: Numerical Analysis and Simulations of Micro- and Macro-Models

  Małgorzata Peszyńska, Ralph E. Showalter & Son-Young Yi

  2015-12-01

  33339 2682 Pages:476-515

• A Stabilized Characteristic Finite Element Method for the Viscoelastic Oldroyd Fluid Motion Problem

  Tong Zhang & Jinyun Yuan

  2015-12-01

  33215 2735 Pages:617-635

• 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

  5647 361 Pages:24-62

• Numerical Analysis of a Mixed Finite Element Approximation of a Coupled System Modeling Biofilm Growth in Porous Media with Simulations

  Azhar Alhammali, Malgorzata Peszynska, Choah Shin

  2024-01-03

  26367 2440 Pages:20-64

• A Fully Implicit Method Using Nodal Radial Basis Functions to Solve the Linear Advection Equation

  P.-A. Gourdain, M. Evans, H. R. Hasson, J. R. Young, I. West-Abdallah, M. B. Adams

  2023-03-30

  29232 2571 Pages:437-458

• ​Pattern Formation in Rosenzweig–MacArthur Model with Prey–Taxis

  Yuanyuan Zhang, Li Xia

  2018-10-19

  35902 4136 Pages:97-115

• Treatment of Tensorial Relative Permeabilities with Multipoint Flux Approximation

  M. Wolff, B. Flemisch, R. Helmig & I. Aavatsmark

  2012-08-06

  34311 2456 Pages:725-744