Search Results

• Local Discontinuous Galerkin Method for Nonlinear BSPDEs of Neumann Boundary Conditions with Deep Backward Dynamic Programming Time-Marching

  Yixiang Dai, Yunzhang Li, Jing Zhang

  2026-01-18

  237 46 Pages:1299-1331

• A Unifying Moving Mesh Method for Curves, Surfaces, and Domains Based on Mesh Equidistribution and Alignment

  Min Zhang, Weizhang Huang

  2026-02-15

  3749 100 Pages:513-552

• Improved Randomized Neural Network Methods with Boundary Processing for Solving Elliptic Equations

  Huifang Zhou, Zhiqiang Sheng

  2026-01-15

  2930 185 Pages:147-184

• A Geometry-Preserving Finite Volume Method for Compressible Fluids on Schwarzschild Spacetime

  Philippe G. LeFloch & Hasan Makhlof

  2014-03-05

  41610 4023 Pages:827-852

• On Accurately Resolving Detonation Dynamics by Adaptive Finite Volume Method on Unstructured Grids

  Yana Di, Guanghui Hu, Ruo Li, Feng Yang

  2020-12-02

  48151 3738 Pages:445-471 Open-access

• A High-Order Fast Boundary Element Method with Near-Boundary Stability for Field Emission from Nanoscale Structures

  Alister J. Tencate, Béla Erdélyi

  2024-09-06

  19548 1478 Pages:451-484

• Numerical Validation for High Order Hyperbolic Moment System of Wigner Equation

  Ruo Li, Tiao Lu, Yanli Wang & Wenqi Yao

  2014-03-05

  41726 4158 Pages:569-595

• Development of a Less Dissipative Interface Variable Reconstruction to Solve the Euler Equations by Q Learning Method

  Shing-Ian Huang, Sheng Chang Wu, Tsung-Yu Yang, Chi-Heng Ting, Yi-Jhen Wu, Yang-Yao Niu

  2024-07-29

  24006 1709 Pages:160-199

• Data Generation-Based Operator Learning for Solving Partial Differential Equations on Unbounded Domains

  Jihong Wang, Xin Wang, Jing Li, Bin Liu

  2025-05-29

  8885 481 Pages:1383-1416

• Multifidelity Data Fusion via Gradient-Enhanced Gaussian Process Regression

  Yixiang Deng, Guang Lin, Xiu Yang

  2020-11-18

  63034 3496 Pages:1812-1837

• Multiplicative Noise Removal Based on Unbiased Box-Cox Transformation

  Yu-Mei Huang, Hui-Yin Yan & Tieyong Zeng

  2017-09-02

  41569 3266 Pages:803-828

• The Diffused Vortex Hydrodynamics Method

  Emanuele Rossi, Andrea Colagrossi, Benjamin Bouscasse & Giorgio Graziani

  2018-04-03

  38932 3045 Pages:351-379

• Numerical Boundary Conditions for Specular Reflection in a Level-Sets-Based Wavefront Propagation Method

  Sheri L. Martinelli

  2014-08-05

  40298 4100 Pages:509-536

• An Accelerated Method for Simulating Population Dynamics

  Daniel A. Charlebois & Mads Kærn

  2014-08-05

  40395 3859 Pages:461-476

• Three-Dimensional Simulation of Balloon Dynamics by the Immersed Boundary Method Coupled to the Multiple-Relaxation-Time Lattice Boltzmann Method

  Jiayang Wu, Yongguang Cheng, Chunze Zhang & Wei Diao

  2018-04-02

  41429 3208 Pages:1271-1300

• High Order Finite Difference Methods with Subcell Resolution for Stiff Multispecies Discontinuity Capturing

  Wei Wang, Chi-Wang Shu, H. C. Yee, Dmitry V. Kotov, Björn Sjögreen

  2020-07-30

  40900 3000 Pages:317-336

• Linear Scaling Discontinuous Galerkin Density Matrix Minimization Method with Local Orbital Enriched Finite Element Basis: 1-D Lattice Model System

  Tiao Lu, Wei Cai, Jianguo Xin & Yinglong Guo

  2014-08-05

  40664 3865 Pages:276-300

• A Fast Semi-Implicit Level Set Method for Curvature Dependent Flows with an Application to Limit Cycles Extraction in Dynamical Systems

  Guoqiao You & Shingyu Leung

  2018-04-03

  42561 5269 Pages:203-229

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

  Ruihan Guo & Yan Xu

  2020-07-30

  40305 3095 Pages:424-457

• Modified Ghost Fluid Method with Axisymmetric Source Correction (MGFM/ASC)

  Chengliang Feng, Tiegang Liu, Liang Xu, Changsheng Yu

  2020-06-05

  49681 3418 Pages:621-660

• A Uniformly Convergent Numerical Method for Singularly Perturbed Nonlinear Eigenvalue Problems

  Weizhu Bao & Ming-Huang Chai

  2008-04-01

  38611 4126 Pages:135-160

• A Weighted Multi-Domain Spectral Penalty Method with Inhomogeneous Grid for Supersonic Injective Cavity Flows

  Wai-Sun Don, David Gottlieb & Jae-Hun Jung

  2009-05-01

  38716 3849 Pages:986-1011

• Implicit Asymptotic Preserving Method for Linear Transport Equations

  Qin Li, Li Wang

  2019-10-31

  42180 4380 Pages:157-181

• Error Analysis of the Supplementary Variable Method for the Allen-Cahn Model

  Xuehua Song, Binquan Ji, Yuezheng Gong, Yushun Wang

  2025-08-23

  6455 465 Pages:684-710

• A Stable Q Compensated Reverse Time Migration Method Based on Excitation Amplitude Imaging Condition

  Qingqing Li, Li-Yun Fu, Weijia Sun, Wei Wei, Wanting Hou

  2020-06-05

  51266 4547 Pages:141-166

• A Domain Decomposition Based Spectral Collocation Method for Lane-Emden Equations

  Yuling Guo & Jianguo Huang

  2018-04-09

  41863 3234 Pages:542-571

• 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

  34995 2647 Pages:905-937