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• An Efficient Multigrid Method for Molecular Mechanics Modeling in Atomic Solids

  Jingrun Chen & Pingbing Ming

  2011-10-01

  39309 4346 Pages:70-89

• Dirichlet-to-Neumann Map Method with Boundary Cells for Photonic Crystals Devices

  Jianhua Yuan & Ya Yan Lu

  2011-09-01

  38451 4371 Pages:113-128

• On Spiral Waves Arising in Natural Systems

  D. Bini, C. Cherubini, S. Filippi, A. Gizzi & P. E. Ricci

  2010-08-01

  42122 4059 Pages:610-622

• Development of Residual Distribution Schemes for the Discontinuous Galerkin Method: The Scalar Case with Linear Elements

  Rémi Abgrall & Chi-Wang Shu

  2018-04-11

  42455 3624 Pages:376-390

• New Finite-Volume Relaxation Methods for the Third-Order Differential Equations

  Fayssal Benkhaldoun & Mohammed Seaïd

  2008-04-01

  38647 4309 Pages:820-837

• The Role of Anionic Protein Residues on the Salt Dependence of the Binding of Aminoacyl-tRNA Synthetases to tRNA: A Poisson-Boltzmann Analysis

  Johan H. Bredenberg, Alexander H. Boschitsch & Marcia O. Fenley

  2008-03-01

  39863 4082 Pages:1051-1070

• On Integral Equation and Least Squares Methods for Scattering by Diffraction Gratings

  T. Arens, S. N. Chandler-Wilde & J. A. DeSanto

  2020-07-31

  38787 3833 Pages:1010-1042

• Multi-Valued Solution and Level Set Methods in Computational High Frequency Wave Propagation

  H. Liu, S. Osher & R. Tsai

  2006-01-01

  39424 3802 Pages:765-804

• Elements of the Lattice Boltzmann Method I: Linear Advection Equation

  I. V. Karlin, S. Ansumali, C. E. Frouzakis & S. S. Chikatamarla

  2006-01-01

  39615 3997 Pages:616-655

• High-Resolution 3-D Radar Imaging Through Nonuniform Fast Fourier Transform (NUFFT)

  J. Song, Q. H. Liu, K. Kim & W. R. Scott, Jr.

  2018-03-22

  41158 4498 Pages:176-191

• A Determinant Aided Fixed Point Method for Nonlinear Coupled Constitutive Relation of Rarefied Nonequilibrium Flows

  Chengming Zeng, Dongjun Jiang, Qibing Li

  2025-11-28

  916 38 Pages:448-474

• RBMD: A Molecular Dynamics Package Enabling to Simulate 10 Million All-Atom Particles in a Single Graphics Processing Unit

  Weihang Gao, Teng Zhao, Yongfa Guo, Jiuyang Liang, Huan Liu, Maoying Luo, Zedong Luo, Wei Qin, Yichao Wang, Qi Zhou, Shi Jin, Zhenli Xu

  2025-11-07

  2711 116 Pages:296-322

• The Effective Use of BLAS Interface for Implementation of Finite-Element ADER-DG and Finite-Volume ADER-WENO Methods

  I. S. Popov

  2025-09-18

  4216 306 Pages:1237-1330

• Relaxation Schemes for Entropy Dissipative Systems of Viscous Conservation Laws

  Tuowei Chen, Jiequan Li

  2025-09-05

  3509 292 Pages:953-986

• Efficient Implementation of 3D FEM for Nonlocal Poisson Problem with Different Ball Approximation Strategies

  Gengjian Chen, Yuheng Ma, Jiwei Zhang

  2024-12-02

  223 58 Pages:1378-1410

• Time Integration Schemes Based on Neural Networks for Solving Partial Differential Equations on Coarse Grids

  Xinxin Yan, Zhideng Zhou, Xiaohan Cheng, Xiaolei Yang

  2024-12-02

  201 54 Pages:1262-1306

• A Simple GPU Implementation of Spectral-Element Methods for Solving 3D Poisson Type Equations on Rectangular Domains and Its Applications

  Xinyu Liu, Jie Shen, Xiangxiong Zhang

  2024-12-02

  205 44 Pages:1157-1185

• Derivative-Based Finite-Volume MR-HWENO Scheme for Steady-State Problems

  Jiayin Li, Chi-Wang Shu, Jianxian Qiu

  2024-10-29

  138 59 Pages:877-907

• Exact Solution of the Riemann Problem for the One-Dimensional Blood Flow Equations with General Constant Momentum Correction Coefficient

  Alessandra Spilimbergo, Eleuterio F. Toro, Lucas O. Müller

  2024-10-09

  185 58 Pages:711-780

• Fast Implementation of FEM for Integral Fractional Laplacian on Rectangular Meshes

  Changtao Sheng, Li-Lian Wang, Hongbin Chen, Huiyuan Li

  2024-10-09

  199 65 Pages:673-710

• AFEPack: A General-Purpose C++ Library for Numerical Solutions of Partial Differential Equations

  Zhenning Cai, Yun Chen, Yana Di, Guanghui Hu, Ruo Li, Wenbin Liu, Heyu Wang, Fanyi Yang, Chengbao Yao, Hongfei Zhan

  2024-07-29

  166 212 Pages:274-318

• A Moving Mesh Finite Element Method for Bernoulli Free Boundary Problems

  Jinye Shen, Heng Dai, Weizhang Huang

  2024-07-29

  158 132 Pages:248-273

• The Lowest-Order Stabilized Virtual Element Method for the Stokes Problem

  Xin Liu, Qixuan Song, Yu Gao, Zhangxin Chen

  2024-07-29

  189 466 Pages:221-247

• Quinpi: Integrating Stiff Hyperbolic Systems with Implicit High Order Finite Volume Schemes

  Gabriella Puppo, Matteo Semplice, Giuseppe Visconti

  2024-07-29

  152 117 Pages:30-70

• New Algebraic Fast Algorithms for $N$-Body Problems in Two and Three Dimensions

  Ritesh Khan, Sivaram Ambikasaran

  2025-04-27

  197 50 Pages:1157-1226

• A Modified Convolution Quadrature Combined with the Method of Fundamental Solutions and Galerkin BEM for Acoustic Scattering

  Ebraheem Aldahham, Lehel Banjai

  2025-09-02

  368 41 Pages:761-782

• Learning PDEs from Data on Closed Surfaces with Sparse Optimization

  Zhengjie Sun, Leevan Ling, Ran Zhang

  2025-09-02

  182 58 Pages:289-314