Search Results

• The Bulk-Surface Virtual Element Method for Reaction-Diffusion PDEs: Analysis and Applications

  Massimo Frittelli, Anotida Madzvamuse, Ivonne Sgura

  2023-04-28

  32782 3264 Pages:733-763 Open-access

• Efficient Splitting Methods Based on Modified Potentials: Numerical Integration of Linear Parabolic Problems and Imaginary Time Propagation of the Schrödinger Equation

  Sergio Blanes, Fernando Casas, Cesáreo González, Mechthild Thalhammer

  2023-05-12

  35813 3058 Pages:937-961

• Staggered Lagrangian Discretization Based on Cell-Centered Riemann Solver and Associated Hydrodynamics Scheme

  Pierre-Henri Maire, Raphael Loubere, Pavel Vachal

  2011-10-01

  39783 4149 Pages:940-978

• A Conservative Modification to the Ghost Fluid Method for Compressible Multiphase Flows

  Wei Liu, Li Yuan, Chi-Wang Shu

  2011-10-01

  40587 4064 Pages:785-806

• On Universal Osher-Type Schemes for General Nonlinear Hyperbolic Conservation Laws

  Michael Dumbser, Eleuterio F. Toro

  2011-10-01

  39640 4378 Pages:635-671

• Velocity-Based Moving Mesh Methods for Nonlinear Partial Differential Equations

  M. J. Baines, M. E. Hubbard, P. K. Jimack

  2011-10-01

  40073 5039 Pages:509-576 Open-access

• A Priori Subcell Limiting Approach for the FR/CPR Method on Unstructured Meshes

  Guo-Quan Shi, Huajun Zhu, Zhen-Guo Yan

  2022-03-30

  50575 3114 Pages:1215-1241

• A WENO-Based Stochastic Galerkin Scheme for Ideal MHD Equations with Random Inputs

  Kailiang Wu, Dongbin Xiu, Xinghui Zhong

  2021-05-25

  49107 3204 Pages:423-447

• Microflow Simulations via the Lattice Boltzmann Method

  Nikolaos Prasianakis, Santosh Ansumali

  2020-07-21

  39366 3869 Pages:1128-1136

• A Comparison of Semi-Lagrangian and Lagrange-Galerkin hp-FEM Methods in Convection-Diffusion Problems

  Pedro Galan del Sastre, Rodolfo Bermejo

  2011-09-01

  38674 3848 Pages:1020-1039

• 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

  47663 3430 Pages:649-697

• A Discontinuous Galerkin Method for Ideal Two-Fluid Plasma Equations

  John Loverich, Ammar Hakim, Uri Shumlak

  2018-03-27

  38208 4175 Pages:240-268

• Complex Transition of Double-Diffusive Convection in a Rectangular Enclosure with Height-to-Length Ratio Equal to 4: Part I

  Xian Liang, Xinliang Li, Dexun Fu, Yanwen Ma

  2018-03-24

  37566 3840 Pages:247-268

• First-Principle-Like Reinforcement Learning of Nonlinear Numerical Schemes for Conservation Laws

  Hao-Chen Wang, Meilin Yu, Heng Xiao

  2026-01-15

  3369 401 Pages:1-28

• Application of Lattice Boltzmann Method to Simulation of Compressible Turbulent Flow

  Congshan Zhuo, Chengwen Zhong, Kai Li, Shengwei Xiong, Xiaopeng Chen, Jun Cao

  2010-08-01

  40860 4122 Pages:1208-1223

• An Efficient Time-Splitting Method to Simulate the Dynamics of Spin-Orbit Coupled Spin-1 Bose-Einstein Condensates

  Xiaolan Chen, Yongjun Yuan, Yong Zhang

  2026-01-15

  3216 322 Pages:119-146

• A Third Order Bound-Preserving Nodal Discontinuous Galerkin Method for Miscible Displacements in Porous Media

  Xinyuan Liu, Tao Xiong, Yang Yang

  2025-09-18

  4567 332 Pages:1515-1551

• Do We Need Decay-Preserving Error Estimate for Solving Parabolic Equations with Initial Singularity?

  Jiwei Zhang, Zhimin Zhang, Chengchao Zhao

  2026-01-18

  792 158 Pages:1027-1058

• A Finite Volume Method for the Multi Subband Boltzmann Equation with Realistic 2D Scattering in Double Gate MOSFETs

  Tiao Lu, Gang Du, Xiaoyan Liu, Pingwen Zhang

  2011-10-01

  38429 4062 Pages:305-338

• A Local Model Reduction Method Based on $k$-Nearest-Neighbors for Parametrized Nonlocal Problems

  Caixia Nan, Qiuqi Li, Huailing Song

  2025-01-22

  15530 986 Pages:220-249

• An Edge-Based Anisotropic Mesh Refinement Algorithm and Its Application to Interface Problems

  Duan Wang, Ruo Li, Ningning Yan

  2010-08-01

  41421 4100 Pages:511-540

• A Technique for High-Order Treatment of Diffusion Terms in Semi-Lagrangian Schemes

  Roberto Ferretti

  2010-08-01

  38516 4145 Pages:445-470

• Optimal Error Estimation of the Modified Ghost Fluid Method

  Liang Xu, Tiegang Liu

  2010-08-01

  38820 3965 Pages:403-426

• Direct Vlasov Solvers with High-Order Spectral Element Method

  Jin Xu, Brahim Mustapha, Peter Ostroumov, Jerry Nolen

  2010-08-01

  39619 4624 Pages:159-184

• Numerical Simulation for a Droplet Fission Process of Electrowetting on Dielectric Device

  Dongdong He, Huaxiong Huang, Yongji Tan

  2010-07-01

  38815 4298 Pages:1076-1094

• A Well-Balanced and Non-Negative Numerical Scheme for Solving the Integrated Shallow Water and Solute Transport Equations

  Qiuhua Liang

  2010-07-01

  40029 4357 Pages:1049-1075

• A BEM/FEM Coupling Approach for Fluid-Structure Interaction Simulation of Cell Motion

  S. Y. Wang, P. Q. Chen, K. M. Lim, B. C. Khoo

  2010-07-01

  38540 4313 Pages:994-1026