Search Results

• Modelling and Numerical Shape and Topology Optimization for a Hemivariational Inequality in Stokes Flows with Slip Boundary Conditions

  Fang Feng, Hui Yang, Shengfeng Zhu

  2025-08-23

  5931 388 Pages:850-886

• A Kolmogorov High Order Deep Neural Network for High Frequency Partial Differential Equations in High Dimensions

  Yaqin Zhang, Ke Li, Zhipeng Chang, Xuejiao Liu, Yunqing Huang, Xueshuang Xiang

  2025-07-11

  5046 565 Pages:181-222

• Finite Difference Approximation with ADI Scheme for Two-Dimensional Keller-Segel Equations

  Yubin Lu, Chi-An Chen, Xiaofan Li, Chun Liu

  2024-06-14

  27753 1809 Pages:1352-1386

• Efficient High-Order Backward Difference Formulae for Cahn-Hilliard Equation with the Gradient Flow in $H^{−α}$

  Zhongqin Xue, Guanghui Wen, Zhimin Zhang, Xuan Zhao

  2024-06-14

  28269 1947 Pages:1263-1286

• A Characteristic Mapping Method for Vlasov-Poisson with Extreme Resolution Properties

  Philipp Krah, Xi-Yuan Yin, Julius Bergmann, Jean-Christophe Nave, Kai Schneider

  2024-05-06

  34796 2610 Pages:905-937

• An Implicit, Asymptotic-Preserving and Energy-Charge-Conserving Method for the Vlasov-Maxwell System Near Quasi-Neutrality

  Chuwen Ma, Shi Jin

  2024-04-10

  23939 2135 Pages:724-760

• Solution of Inverse Geometric Problems Using a Non-Iterative MFS

  Andreas Karageorghis, Daniel Lesnic, Liviu Marin

  2024-04-10

  24665 2114 Pages:553-578

• A Spectral Method for a Fokker-Planck Equation in Neuroscience with Applications in Neuron Networks with Learning Rules

  Pei Zhang, Yanli Wang, Zhennan Zhou

  2024-01-31

  28862 2368 Pages:70-106

• An Adaptive Method Based on Local Dynamic Mode Decomposition for Parametric Dynamical Systems

  Qiuqi Li, Chang Liu, Mengnan Li, Pingwen Zhang

  2024-01-31

  29264 2735 Pages:38-69

• Ghost-Fluid-Based Sharp Interface Methods for Multi-Material Dynamics: A Review

  Liang Xu, Tiegang Liu

  2023-10-07

  35914 2906 Pages:563-612

• A Well-Balanced Partial Relaxation Scheme for the Two-Dimensional Saint-Venant System

  Xi Chen, Alexander Kurganov

  2023-06-06

  37529 2738 Pages:1432-1465

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

  Massimo Frittelli, Anotida Madzvamuse, Ivonne Sgura

  2023-04-28

  32547 3098 Pages:733-763 Open-access

• Weak Galerkin Method for Second-Order Elliptic Equations with Newton Boundary Condition

  Mingze Qin, Ruishu Wang, Qilong Zhai, Ran Zhang

  2023-03-13

  38969 3296 Pages:568-595

• A Review on Contact and Collision Methods for Multi-Body Hydrodynamic Problems in Complex Flows

  S. Karimnejad, A. Amiri Delouei, H. Başağaoğlu, M. Nazari, M. Shahmardan, G. Falcucci, M. Lauricella, S. Succi

  2022-10-28

  50188 3319 Pages:899-950

• Modeling of Bound Electron Effects in Particle-in-Cell Simulation

  Xiangyan An, Min Chen, Zheng-Ming Sheng, Jie Zhang

  2022-08-11

  299744 3152 Pages:583-594

• Continuous Finite Element Subgrid Basis Functions for Discontinuous Galerkin Schemes on Unstructured Polygonal Voronoi Meshes

  Walter Boscheri, Michael Dumbser, Elena Gaburro

  2022-07-06

  42146 3668 Pages:259-298

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

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

  2022-03-30

  50347 3028 Pages:1215-1241

• An Augmented Lagrangian Deep Learning Method for Variational Problems with Essential Boundary Conditions

  Jianguo Huang, Haoqin Wang, Tao Zhou

  2022-03-03

  50442 3265 Pages:966-986

• High Order Finite Difference WENO Methods with Unequal-Sized Sub-Stencils for the Degasperis-Procesi Type Equations

  Jianfang Lin, Yan Xu, Huiwen Xue, Xinghui Zhong

  2022-03-03

  45191 3103 Pages:913-946

• Anomalous Sorption Kinetics of Self-Interacting Particles by a Spherical Trap

  Antonio Raudino, Antonio Grassi, Giuseppe Lombardo, Giovanni Russo, Clarissa Astuto, Mario Corti

  2022-03-03

  45450 3150 Pages:707-738

• High Order Deep Neural Network for Solving High Frequency Partial Differential Equations

  Zhipeng Chang, Ke Li, Xiufen Zou, Xueshuang Xiang

  2022-01-27

  46031 3436 Pages:370-397

• A Coupled FEM-BEM Approach for the Solution of the Free-Boundary Axi-Symmetric Plasma Equilibrium Problem

  M. Bonotto, D. Abate, P. Bettini, F. Villone

  2021-12-06

  47213 3980 Pages:27-59

• Adaptive Fully Implicit Simulator with Multilevel Schwarz Methods for Gas Reservoir Flows in Fractured Porous Media

  Rui Li, Haijian Yang, Chao Yang

  2021-10-26

  47322 3226 Pages:1499-1528

• Efficient and Stable Schemes for the Magnetohydrodynamic Potential Model

  Guo-Dong Zhang, Xiaofeng Yang

  2021-07-01

  48341 3264 Pages:771-798

• A High-Order Discontinuous Galerkin Solver for Helically Symmetric Flows

  Dominik Dierkes, Florian Kummer, Dominik Plümacher

  2021-04-30

  46158 3907 Pages:288-320

• A Nodal Finite Element Method for a Thermally Coupled Eddy-Current Problem with Moving Conductors

  Zezhong Wang, Qiya Hu

  2021-01-13

  44625 3268 Pages:767-801

• An Adaptive Surrogate Modeling Based on Deep Neural Networks for Large-Scale Bayesian Inverse Problems

  Liang Yan, Tao Zhou

  2020-11-18

  67125 3405 Pages:2180-2205