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

  Yuanyuan Zhang, Li Xia

  2018-10-19

  35915 4162 Pages:97-115

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

  Michaela Kubacki & Marina Moraiti

  2015-12-01

  34054 2658 Pages:704-730

• Schemes and Estimates for the Long-Time Numerical Solution of Maxwell's Equations for Lorentz Metamaterials

  Jichun Li & Simon Shaw

  2015-12-01

  33987 2692 Pages:343-365

• Stability of the Kinematically Coupled β-Scheme for Fluid-Structure Interaction Problems in Hemodynamics

  Sunčica Čanić, Boris Muha & Martina Bukač

  2015-12-01

  34265 4050 Pages:54-80

• On a Nonlinear 4-Point Ternary and Interpolatory Multiresolution Scheme Eliminating the Gibbs Phenomenon

  S. Amat, K. Dadourian & J. Liandrat

  2010-07-01

  31249 2506 Pages:261-280

• Construction of Boundary Layer Elements for Singularly Perturbed Convection-Diffusion Equations and $L^2$-Stability Analysis

  C.-Y. Jung & R. Temam

  2008-05-01

  31296 3350 Pages:729-748

• The Weighted and Shifted Two-Step BDF Method for Allen-Cahn Equation on Variable Grids

  Minghua Chen, Fan Yu, Qingdong Zhang

  2025-05-26

  7856 615 Pages:671-693

• An Energy-Dissipation Finite Element Pressure-Correction Scheme for the Hydrodynamics of Smectic-A Liquid Crystals

  Panpan Guo, Guang-An Zou, Min Zhang

  2025-05-26

  7823 492 Pages:637-670

• A Finite Element Method for Anisotropic Crystal Growth on Surfaces

  Harald Garcke, Robert Nürnberg

  2025-05-26

  7857 536 Pages:614-636

• An Unconditionally Energy-Stable SAV-DG Numerical Scheme for Tumor Growth Model

  Penghao Guo, Bo Wang, Guang-An Zou

  2025-04-29

  7089 570 Pages:510-533

• Convergence Analysis of a Preconditioned Steepest Descent Solver for the Cahn-Hilliard Equation with Logarithmic Potential

  Amanda E. Diegel, Cheng Wang, Steven M. Wise

  2025-04-29

  7163 530 Pages:483-509

• The Navier-Stokes-$\omega$/Navier-Stokes-$\omega$ Model for Fluid-Fluid Interaction Using an Unconditionally Stable Finite Element Scheme

  Qinghui Wang, Pengzhan Huang, Yinnian He

  2025-02-20

  8620 623 Pages:178-201

• Variable Time Step Method of Dahlquist, Liniger and Nevanlinna (DLN) for a Corrected Smagorinsky Model

  Farjana Siddiqua, Wenlong Pei

  2024-10-09

  13996 1087 Pages:879-909

• Continuous/Discontinuous Finite Element Approximation of a 2d Navier-Stokes Problem Arising in Fluid Confinement

  Hermenegildo Borges De Oliveira, Nuno David Lopes

  2024-05-20

  21702 1674 Pages:315-352

• Unconditionally Energy Stable and First-Order Accurate Numerical Schemes for the Heat Equation with Uncertain Temperature-Dependent Conductivity

  Joseph Anthony Fiordilino, Matthew Winger

  2023-11-13

  22368 1948 Pages:805-831

• A Doubly Adaptive Penalty Method for the Navier Stokes Equations

  Kiera Kean, Xihui Xie, Shuxian Xu

  2023-03-30

  29833 2623 Pages:407-436

• A Preconditioned Steepest Descent Solver for the Cahn-Hilliard Equation with Variable Mobility

  Xiaochun Chen, Cheng Wang, Steven M. Wise

  2022-09-27

  37469 2741 Pages:839-863

• Numerical Analysis of High Order Time Stepping Schemes for a Predator-Prey System

  Konstantinos Chrysafinos, Dimitrios Kostas

  2022-09-27

  40737 2773 Pages:404-423

• The Scott-Vogelius Method for the Stokes Problem on Anisotropic Meshes

  Kiera Kean, Michael Neilan, Michael Schneier

  2022-09-27

  43199 3011 Pages:157-174

• Approximate Solution of a Nonlinear Fractional-Order HIV Model Using Homotopy Analysis Method

   Parvaiz Ahmad Naik, Mohammad Ghoreishi, Jian Zu

  2022-03-22

  30229 3031 Pages:52-84

• A Positivity-Preserving and Convergent Numerical Scheme for the Binary Fluid-Surfactant System

  Yuzhe Qin, Cheng Wang, Zhengru Zhang

  2021-03-25

  38484 2589 Pages:399-425

• The Arbitrary Lagrangian-Eulerian Finite Element Method for a Transient Stokes/Parabolic Interface Problem

  Ian Kesler, Rihui Lan, Pengtao Sun

  2021-03-25

  38590 2579 Pages:339-361

• A Compact Finite Difference Scheme for the Fourth-Order Time Multi-Term Fractional Sub-Diffusion Equations with the First Dirichlet Boundary Conditions

  Guang-Hua Gao, Rui Tang, Qian Yang

  2021-02-04

  33653 3446 Pages:100-119

• Modifying the Split-Step $θ$-Method with Harmonic-Mean Term for Stochastic Differential Equations

  Kazem Nouri, Hassan Ranjbar, Juan Carlos Cortés López

  2020-08-04

  36043 2683 Pages:662-678

• Multilevel Finite Volume Methods for 2D Incompressible Navier-Stokes Equations

  J. K. Djoko, H. H. Gidey, B. D. Reddy

  2020-08-04

  33009 2733 Pages:485-516

• Analysis of a Special Immersed Finite Volume Method for Elliptic Interface Problems

  Kai Liu, Qingsong Zou

  2019-08-09

  35142 2695 Pages:964-984

• Optimal Error Estimates of the Local Discontinuous Galerkin Method for the Two-Dimensional Sine-Gordon Equation on Cartesian Grids

  Mahboub Baccouch

  2018-11-22

  33351 2772 Pages:436-462