Search Results

• A New Directional Algebraic Fast Multipole Method Based Iterative Solver for the Lippmann-Schwinger Equation Accelerated with HODLR Preconditioner

  Vaishnavi Gujjula, Sivaram Ambikasaran

  2022-10-28

  DOI:10.4208/cicp.OA-2022-0103

  45921 3170 pp. 1061-1093

• A Four-State HLL Riemann Solver for Numerical Simulation of Magneto-Hydrodynamics Based on the Least Squares Solution for the Middle Wave

  Xinyue Xi, Xiaocheng Guo, Chi Wang

  2025-09-02

  DOI:10.4208/cicp.OA-2024-0132

  10292 585 pp. 675-700

• A Simple Solver for the Two-Fluid Plasma Model Based on PseudoSpectral Time-Domain Algorithm

  Benoit Morel, Remo Giust, Kazem Ardaneh, Francois Courvoisier

  2021-01-13

  DOI:10.4208/cicp.OA-2020-0117

  44391 3276 pp. 955-978

• Mathematical and Numerical Aspects of the Adaptive Fast Multipole Poisson-Boltzmann Solver

  Bo Zhang, Benzhuo Lu, Xiaolin Cheng, Jingfang Huang, Nikos P. Pitsianis, Xiaobai Sun, J. Andrew McCammon

  2013-01-05

  DOI:10.4208/cicp.210711.111111s

  41138 4487 pp. 107-128

• A Fast Offline/Online Forward Solver for Stationary Transport Equation with Multiple Inflow Boundary Conditions and Varying Coefficients

  Jingyi Fu, Min Tang

  2025-09-02

  DOI:10.4208/cicp.OA-2022-0127

  11777 905 pp. 457-497

• An Efficient Nonlinear Multigrid Solver for the Simulation of Rarefied Gas Cavity Flow

  Zhicheng Hu, Guanghan Li

  2023-09-04

  DOI:10.4208/cicp.OA-2022-0271

  33061 2776 pp. 357-391

• Benchmark Computations of the Phase Field Crystal and Functionalized Cahn-Hilliard Equations via Fully Implicit, Nesterov Accelerated Schemes

  Jea-Hyun Park, Abner J. Salgado, Steven M. Wise

  2023-03-13

  DOI:10.4208/cicp.OA-2022-0117

  46587 3648 pp. 367-398

• A High-Accurate Fast Poisson Solver Based on Harmonic Surface Mapping Algorithm

  Jiuyang Liang, Pei Liu, Zhenli Xu

  2021-04-30

  DOI:10.4208/cicp.OA-2020-0052

  50411 4812 pp. 210-226

• A Fast Direct Solver for a Class of 3-D Elliptic Partial Differential Equation with Variable Coefficient

  Beibei Huang, Bin Tu, Benzhuo Lu

  2012-12-01

  DOI:10.4208/cicp.101110.061211a

  40276 4196 pp. 1148-1162

• 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

  DOI:10.4208/cicp.OA-2024-0072

  17147 1405 pp. 1157-1185

• Fast Solver for the Local Discontinuous Galerkin Discretization of the KdV Type Equations

  Ruihan Guo, Yan Xu

  2020-07-30

  DOI:10.4208/cicp.210114.080814a

  40380 3124 pp. 424-457

• An FFT Based Fast Poisson Solver on Spherical Shells

  Yin-Liang Huang, Jian-Guo Liu, Wei-Cheng Wang

  2011-03-05

  DOI:10.4208/cicp.060509.080609s

  39415 4251 pp. 649-667

• Accurate and Efficient Numerical Methods for Computing Ground States and Dynamics of Dipolar Bose-Einstein Condensates via the Nonuniform FFT

  Weizhu Bao, Qinglin Tang, Yong Zhang

  2020-07-31

  DOI:10.4208/cicp.scpde14.37s

  41926 3262 pp. 1141-1166

• An Efficient Neural-Network and Finite-Difference Hybrid Method for Elliptic Interface Problems with Applications

  Wei-Fan Hu, Te-Sheng Lin, Yu-Hau Tseng, Ming-Chih Lai

  2023-05-12

  DOI:10.4208/cicp.OA-2022-0284

  36494 2927 pp. 1090-1105

• DASHMM Accelerated Adaptive Fast Multipole Poisson-Boltzmann Solver on Distributed Memory Architecture

  Bo Zhang, Jackson DeBuhr, Drake Niedzielski, Silvio Mayolo, Benzhuo Lu, Thomas Sterling

  2018-12-08

  DOI:10.4208/cicp.OA-2018-0098

  48661 3353 pp. 1235-1258

• A GPU-Accelerated Cartesian Grid Method for PDEs on Irregular Domain

  Liwei Tan, Minsheng Huang, Shuai Zhu, Pan Wang, Wenjun Ying

  2025-05-29

  DOI:10.4208/cicp.OA-2024-0039

  9080 581 pp. 1250-1276

• Parareal in Time Simulation of Morphological Transformation in Cubic Alloys with Spatially Dependent Composition

  Li-Ping He, Minxin He

  2012-11-01

  DOI:10.4208/cicp.110310.090911a

  38658 4023 pp. 1697-1717

• General Synthetic Iterative Scheme for Unsteady Rarefied Gas Flows

  Jianan Zeng, Wei Su, Lei Wu

  2023-08-14

  DOI:10.4208/cicp.OA-2023-0068

  33864 3447 pp. 173-207

• An Efficient Method for Estimating the Electromagnetic Wave Propagation in Three Dimensional Optical Waveguide Structures

  Yu Mao Wu, Xin Lou, Ya-Qiu Jin, Zhaoguo Hou, Lizhi Xiao, Ning Zou, Hai Jing Zhou, Yang Liu

  2020-06-05

  DOI:10.4208/cicp.OA-2018-0088

  48867 3294 pp. 661-678

• An All Speed Second Order IMEX Relaxation Scheme for the Euler Equations

  Andrea Thomann, Markus Zenk, Gabriella Puppo, Christian Klingenberg

  2020-06-05

  DOI:10.4208/cicp.OA-2019-0123

  48912 3382 pp. 591-620

• A Highly Efficient Numerical Method for Rotating Oceanographic Flows Modeled by Saint-Venant System with Coriolis Forces

  Xin Liu

  2019-01-10

  DOI:10.4208/cicp.OA-2018-0136

  45933 3934 pp. 1394-1412

• A Cartesian Grid-Based Boundary Integral Method for an Elliptic Interface Problem on Closely Packed Cells

  Wenjun Ying

  2020-07-31

  DOI:10.4208/cicp.2018.hh80.05

  44187 3255 pp. 1196-1220

• A Novel Efficient Numerical Solution of Poisson's Equation for Arbitrary Shapes in Two Dimensions

  Zu-Hui Ma, Weng Cho Chew, Li Jun Jiang

  2020-07-30

  DOI:10.4208/cicp.230813.291113a

  42254 3478 pp. 1381-1404

• A Fast Accurate Boundary Integral Method for Potentials on Closely Packed Cells

  Wenjun Ying, J. Thomas Beale

  2013-10-05

  DOI:10.4208/cicp.210612.240113a

  38150 3984 pp. 1073-1093

• A Preconditioned 3-D Multi-Region Fast Multipole Solver for Seismic Wave Propagation in Complex Geometries

  S. Chaillat, J. F. Semblat, M. Bonnet

  2020-07-31

  DOI:10.4208/cicp.231209.030111s

  40752 4221 pp. 594-609

• A Stochastic Collocation Approach to Bayesian Inference in Inverse Problems

  Youssef Marzouk, Dongbin Xiu

  2009-06-01

  38615 4123 pp. 826-847

• An Augmented Approach for the Pressure Boundary Condition in a Stokes Flow

  Zhilin Li, Xiaohai Wan, Kazufumi Ito, Sharon R. Lubkin

  2006-01-01

  39774 4237 pp. 874-885