Search Results

• A Highly Scalable Boundary Integral Equation and Walk-on-Spheres (BIE-WOS) Method for the Laplace Equation with Dirichlet Data

  Changhao Yan, Wei Cai, Xuan Zeng

  2021-03-24

  44967 3236 Pages:1446-1468

• Review of Feynman's Path Integral in Quantum Statistics: From the Molecular Schrödinger Equation to Kleinert's Variational Perturbation Theory

  Kin-Yiu Wong

  2020-07-31

  43244 6080 Pages:853-894 Open-access

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

  Tilo Arens, Simon N. Chandler-Wilde, John A. DeSanto

  2020-07-31

  38925 3881 Pages:1010-1042

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

  Wenjun Ying

  2020-07-31

  44186 3255 Pages:1196-1220

• A Fast Cartesian Grid-Based Integral Equation Method for Unbounded Interface Problems with Non-Homogeneous Source Terms

  Jiahe Yang, Wenjun Ying

  2023-08-14

  33966 3542 Pages:208-234

• A Fourth-Order Kernel-Free Boundary Integral Method for Interface Problems

  Yaning Xie, Shuwang Li, Wenjun Ying

  2023-04-28

  32920 3086 Pages:764-794

• Point Integral Method for Solving Poisson-Type Equations on Manifolds from Point Clouds with Convergence Guarantees

  Zhen Li, Zuoqiang Shi, Jian Sun

  2019-10-31

  42273 4276 Pages:228-258

• Point Integral Method for Elliptic Equations with Variable Coefficients on Point Cloud

  Zhen Li, Zuoqiang Shi, Jian Sun

  2019-04-04

  46797 3392 Pages:506-530

• Conservative Semi-Lagrangian Finite Difference WENO Formulations with Applications to the Vlasov Equation

  Jing-Mei Qiu, Chi-Wang Shu

  2011-10-01

  40876 4331 Pages:979-1000

• A Unified Gas-Kinetic Particle Method for Frequency-Dependent Radiative Transfer Equations with Isotropic Scattering Process on Unstructured Mesh

  Yuan Hu, Chang Liu, Huayun Shen, Shiyang Zou, Baolin Tian

  2024-01-31

  29091 2632 Pages:181-211

• A GPU-Accelerated Cartesian Grid Method for the Heat, Wave and Schrödinger Equations on Irregular Domains

  Liwei Tan, Minsheng Huang, Wenjun Ying

  2024-09-06

  20223 1588 Pages:485-520

• An Adaptive Moving Mesh Discontinuous Galerkin Method for the Radiative Transfer Equation

  Min Zhang, Juan Cheng, Weizhang Huang, Jianxian Qiu

  2020-02-23

  51081 3289 Pages:1140-1173

• Directional $\mathcal{H}^2$ Compression Algorithm: Optimisations and Application to a Discontinuous Galerkin BEM for the Helmholtz Equation

  Nadir-Alexandre Messaï, Sebastien Pernet, Abdesselam Bouguerra

  2022-05-06

  43785 3224 Pages:1585-1635

• On a Fast Integral Equation Method for Diffraction Gratings

  A. Rathsfeld, G. Schmidt, B. H. Kleemann

  2020-07-31

  39639 4085 Pages:984-1009

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

  Wenjun Ying, J. Thomas Beale

  2013-10-05

  38146 3978 Pages:1073-1093

• A Sparse Grid Discrete Ordinate Discontinuous Galerkin Method for the Radiative Transfer Equation

  Jianguo Huang, Yue Yu

  2021-08-10

  47080 3114 Pages:1009-1036

• Transition Operator Approach to Seismic Full-Waveform Inversion in Arbitrary Anisotropic Elastic Media

  Morten Jakobsen, Ivan Pšenčík, Einar Iversen, Bjørn Ursin

  2020-06-05

  52209 4642 Pages:297-327

• A Novel Dynamic Quadrature Scheme for Solving Boltzmann Equation with Discrete Ordinate and Lattice Boltzmann Methods

  C. T. Hsu, S. W. Chiang, K. F. Sin

  2020-07-31

  39169 4063 Pages:1397-1414

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

  Ebraheem Aldahham, Lehel Banjai

  2025-09-02

  10227 563 Pages:761-782

• Integral Equation Method for a Non-Selfadjoint Steklov Eigenvalue Problem

  Yunyun Ma, Jiguang Sun

  2022-05-06

  45117 3293 Pages:1546-1560

• JefiPIC: A 3-D Full Electromagnetic Particle-in-Cell Simulator Based on Jefimenko’s Equations on GPU

  Jian-Nan Chen, Jun-Jie Zhang, Xue-Ming Li, Hai-Liang Qiao, Yong-Tao Zhao

  2024-06-14

  28105 1823 Pages:1387-1417

• A Fast Time Splitting Finite Difference Approach to Gross–Pitaevskii Equations

  Marco Caliari, Simone Zuccher

  2021-03-24

  47947 3306 Pages:1336-1364

• 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

  48656 3351 Pages:1235-1258

• On the Naturally Induced Sources for Obstacle Scattering

  Perrin S. Meyer, Marcos Capistran, Yu Chen

  2020-07-31

  38915 3934 Pages:974-983

• 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

  45916 3169 Pages:1061-1093

• Fast Multipole Accelerated Boundary Integral Equation Method for Evaluating the Stress Field Associated with Dislocations in a Finite Medium

  Degang Zhao, Jingfang Huang, Yang Xiang

  2012-12-01

  41634 5234 Pages:226-246

• Analysis of Convolution Quadrature Applied to the Time-Domain Electric Field Integral Equation

  Q. Chen, P. Monk, X. Wang, D. Weile

  2020-07-31

  40741 4138 Pages:383-399