Search Results

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

  Massimo Frittelli, Anotida Madzvamuse, Ivonne Sgura

  2023-04-28

  DOI:10.4208/cicp.OA-2022-0204

  32790 3266 pp. 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

  DOI:10.4208/cicp.OA-2022-0247

  35816 3060 pp. 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

  DOI:10.4208/cicp.170310.251110a

  39783 4149 pp. 940-978

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

  Wei Liu, Li Yuan, Chi-Wang Shu

  2011-10-01

  DOI:10.4208/cicp.201209.161010a

  40588 4066 pp. 785-806

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

  Michael Dumbser, Eleuterio F. Toro

  2011-10-01

  DOI:10.4208/cicp.170610.021210a

  39641 4380 pp. 635-671

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

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

  2011-10-01

  DOI:10.4208/cicp.201010.040511a

  40073 5040 pp. 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

  DOI:10.4208/cicp.OA-2021-0165

  50575 3114 pp. 1215-1241

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

  Kailiang Wu, Dongbin Xiu, Xinghui Zhong

  2021-05-25

  DOI:10.4208/cicp.OA-2020-0167

  49108 3206 pp. 423-447

• Microflow Simulations via the Lattice Boltzmann Method

  Nikolaos Prasianakis, Santosh Ansumali

  2020-07-21

  DOI:10.4208/cicp.301009.271010s

  39368 3870 pp. 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

  DOI:10.4208/cicp.041209.160910a

  38674 3849 pp. 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

  DOI:10.4208/cicp.OA-2020-0132

  47665 3431 pp. 649-697

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

  John Loverich, Ammar Hakim, Uri Shumlak

  2018-03-27

  DOI:10.4208/cicp.250509.210610a

  38209 4177 pp. 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 3842 pp. 247-268

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

  Hao-Chen Wang, Meilin Yu, Heng Xiao

  2026-01-15

  DOI:10.4208/cicp.OA-2024-0260

  3380 409 pp. 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

  DOI:10.4208/cicp.300110.070510a

  40864 4123 pp. 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

  DOI:10.4208/cicp.OA-2024-0220

  3221 323 pp. 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

  DOI:10.4208/cicp.OA-2023-0046

  4569 333 pp. 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

  DOI:10.4208/cicp.OA-2025-0130

  797 159 pp. 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

  DOI:10.4208/cicp.071109.261110a

  38432 4062 pp. 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

  DOI:10.4208/cicp.OA-2024-0028

  15532 986 pp. 220-249

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

  Duan Wang, Ruo Li, Ningning Yan

  2010-08-01

  DOI:10.4208/cicp.210709.121109a

  41422 4100 pp. 511-540

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

  Roberto Ferretti

  2010-08-01

  DOI:10.4208/cicp.070709.011209a

  38517 4145 pp. 445-470

• Optimal Error Estimation of the Modified Ghost Fluid Method

  Liang Xu, Tiegang Liu

  2010-08-01

  DOI:10.4208/cicp.110509.271009a

  38821 3968 pp. 403-426

• Direct Vlasov Solvers with High-Order Spectral Element Method

  Jin Xu, Brahim Mustapha, Peter Ostroumov, Jerry Nolen

  2010-08-01

  DOI:10.4208/cicp.080409.051009a

  39619 4626 pp. 159-184

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

  Dongdong He, Huaxiong Huang, Yongji Tan

  2010-07-01

  DOI:10.4208/cicp.2009.09.012

  38815 4300 pp. 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

  DOI:10.4208/cicp.2009.09.156

  40032 4357 pp. 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

  DOI:10.4208/cicp.2009.09.027

  38543 4313 pp. 994-1026