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• An Implicit-Explicit Scheme for the Radiation Hydrodynamics

  Yaoli Fang

  2020-12-18

  46533 3229 Pages:404-425

• The Crank-Nicolson/Explicit Scheme for the Natural Convection Equations with Nonsmooth Initial Data

  Jinting Yang, Hongxia Liang, Tong Zhang

  2021-07-01

  47534 4104 Pages:1481-1519

• A New Explicit Symplectic Fourier Pseudospectral Method for Klein-Gordon-Schrödinger Equation

  Yanhong Yang, Yongzhong Song, Haochen Li, Yushun Wang

  2018-09-17

  44063 4798 Pages:242-260

• Decoupled and Unconditionally Energy Stable Numerical Schemes for the Thermally Coupled Incompressible Magnetohydrodynamics Flow

  Chao Lu, Qinghua Li, Tong Zhang

  2025-10-04

  4619 135 Pages:601-641

• A Time Second-Order Mass-Conserved Implicit-Explicit Domain Decomposition Scheme for Solving the Diffusion Equations

  Zhongguo Zhou, Dong Liang

  2018-05-05

  42135 3025 Pages:795-817

• Unconditional Stability and Fourth-Order Convergence of a Two-Step Time Split Explicit/Implicit Scheme for Two-Dimensional Nonlinear Unsteady Convection-Diffusion-Reaction Equation

  Eric Ngondiep, Ali H. Tedjani

  2024-11-01

  15403 1374 Pages:1381-1409

• A Fully Discrete Explicit Multistep Scheme for Solving Coupled Forward Backward Stochastic Differential Equations

  Ying Liu, Yabing Sun, Weidong Zhao

  2020-04-10

  49940 3367 Pages:643-663

• PINN-Based Partial Learning for Multicontinuum Problems: Dual Continuum Fluid Filtration Simulation

  Wanbao Huang, Yin Yang, Dmitry Ammosov, Wei Xie, Sergei Stepanov

  2025-10-29

  4510 102 Pages:537-560

• High-Efficiency Explicit Multistep Schemes for Coupled Second-Order FBSDEs

  Bo Li, Weidong Zhao

  2025-10-14

  4108 288 Pages:322-347

• Alternating Cell Direction Implicit Method Using Approximate Factorization on Hybrid Grids

  Ali Ruhşen Çete, Oğuz Kaan Onay

  2022-02-25

  47957 3211 Pages:539-576

• High-Order Accurate Entropy Stable Finite Difference Schemes for One- and Two-Dimensional Special Relativistic Hydrodynamics

  Junming Duan, Huazhong Tang

  2020-03-06

  141982 5685 Pages:1-29

• Modelling and Numerical Valuation of Power Derivatives in Energy Markets

  Mai Huong Nguyen, Matthias Ehrhardt

  2012-04-01

  41156 5064 Pages:259-293 Open-access

• Explicit Multi-Symplectic Splitting Methods for the Nonlinear Dirac Equation

  Yaming Chen, Songhe Song, Huajun Zhu

  2014-06-01

  43800 4458 Pages:494-514

• A New Explicit Immersed Boundary Method for Simulation of Fluid-Solid Interactions

  B. Harikrishnan, Zhen Chen, Chang Shu

  2020-12-18

  61828 3975 Pages:261-284

• Symplectic Euler Method for Nonlinear High Order Schrödinger Equation with a Trapped Term

  Fangfang Fu, Linghua Kong, Lan Wang

  2018-08-10

  41056 4093 Pages:699-710

• Efficient and Stable Exponential Runge-Kutta Methods for Parabolic Equations

  Liyong Zhu

  2018-05-05

  43341 4664 Pages:157-172

• Finite Element $θ$-Schemes for the Acoustic Wave Equation

  Samir Karaa

  2018-08-10

  41812 4130 Pages:181-203

• Multi-Symplectic Wavelet Collocation Method for Maxwell's Equations

  Huajun Zhu, Songhe Song, Yaming Chen

  2021-07-01

  41152 4191 Pages:663-688

• On the Fully Implicit Solution of a Phase-Field Model for Binary Alloy Solidification in Three Dimensions

  Christopher E. Goodyer, Peter K. Jimack, Andrew M. Mullis, Hongbiao Dong, Yu Xie

  2021-07-01

  43316 4293 Pages:665-684

• High Order Efficient Algorithm for Computation of MHD Flow Ensembles

  Muhammad Mohebujjaman

  2022-06-13

  43098 3456 Pages:1111-1137

• Numerical Assessment of Criteria for Mesh Adaptation in the Finite Volume Solution of Shallow Water Equations

  Imad Kissami, Mohammed Seaid, Fayssal Benkhaldoun

  2020-01-17

  77695 3570 Pages:503-526

• Optimal Error Analysis of Euler and BDF2 Semi-Renormalized FEMs for the Landau-Lifshitz-Slonczewski Equation

  Yundan Zhao, Rong An

  2025-05-12

  8540 499 Pages:1063-1087

• Penalty Finite Element Method for the 2D/3D Unsteady Incompressible Thermomicropolar Fluid Equations

  Junru Guo, Demin Liu

  2025-07-19

  7516 462 Pages:1509-1549

• Time-Domain Numerical Solutions of Maxwell Interface Problems with Discontinuous Electromagnetic Waves

  Ya Zhang, Duc Duy Nguyen, Kewei Du, Jin Xu, Shan Zhao

  2018-05-05

  41886 4574 Pages:353-385 Open-access

• Local Discontinuous Galerkin Methods with Decoupled Implicit-Explicit Time Marching for the Growth-Mediated Autochemotactic Pattern Formation Model

  Hui Wang, Hui Guo, Jiansong Zhang, Lulu Tian

  2023-12-21

  26526 2309 Pages:208-236

• The Locally Conservative Galerkin (LCG) Method — a Discontinuous Methodology Applied to a Continuous Framework

  Rhodri L. T. Bevan, Raoul vanLoon, Perumal Nithiarasu

  2018-08-10

  40770 3740 Pages:319-340

• Numerical Simulations of Unsteady Flows from Rarefied Transition to Continuum Using Gas-Kinetic Unified Algorithm

  Junlin Wu, Zhihui Li, Aoping Peng, Xinyu Jiang

  2018-05-05

  41976 3046 Pages:569-596