Search Results

• 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

• Hermite Type Spline Spaces over Rectangular Meshes with Complex Topological Structures

  Meng Wu, Bernard Mourrain, André Galligo, Boniface Nkonga

  2018-04-09

  41846 3191 Pages:835-866

• High Order Fixed-Point Sweeping WENO Methods for Steady State of Hyperbolic Conservation Laws and Its Convergence Study

  Liang Wu, Yong-Tao Zhang, Shuhai Zhang, Chi-Wang Shu

  2018-04-04

  40585 3219 Pages:835-869

• On Invariant-Preserving Finite Difference Schemes for the Camassa-Holm Equation and the Two-Component Camassa-Holm System

  Hailiang Liu, Terrance Pendleton

  2018-04-04

  40724 3135 Pages:1015-1041

• Quasi-Optimized Overlapping Schwarz Waveform Relaxation Algorithm for PDEs with Time-Delay

  Shu-Lin Wu, Ting-Zhu Huang

  2013-09-05

  39634 4094 Pages:780-800

• Velocity-Based Moving Mesh Methods for Nonlinear Partial Differential Equations

  M. J. Baines, M. E. Hubbard, P. K. Jimack

  2011-10-01

  40073 5038 Pages:509-576 Open-access

• Reduction of Linear Systems of ODEs with Optimal Replacement Variables

  Alex Solomonoff, Wai Sun Don

  2011-03-05

  39409 4031 Pages:756-779

• Nonlinear Stochastic Galerkin and Collocation Methods: Application to a Ferromagnetic Cylinder Rotating at High Speed

  Eveline Rosseel, Herbert De Gersem, Stefan Vandewalle

  2010-08-01

  43310 4867 Pages:947-975 Open-access

• An Efficient Algorithm to Simulate a Brownian Motion Over Irregular Domains

  S. Zein, A. Lejay, M. Deaconu

  2010-08-01

  40635 3964 Pages:901-916

• Spurious Solutions in the Multiband Effective Mass Theory Applied to Low Dimensional Nanostructures

  B. Lassen, R. V. N. Melnik, M. Willatzen

  2009-06-01

  37769 4171 Pages:699-729

• Galerkin Method for Wave Equations with Uncertain Coefficients

  David Gottlieb, Dongbin Xiu

  2018-03-24

  39935 4245 Pages:505-518

• Explicit Multi-Symplectic Methods for Hamiltonian Wave Equations

  Jialin Hong, Shanshan Jiang, Chun Li, Hongyu Liu

  2007-02-01

  39160 3987 Pages:662-683

• Variations on Hermite Methods for Wave Propagation

  Arturo Vargas, Jesse Chan, Thomas Hagstrom, Timothy Warburton

  2018-04-09

  42131 3436 Pages:303-337

• Convergence Analysis of PINNs with Over-Parameterization

  Mo Chen, Zhao Ding, Yuling Jiao, Xiliang Lu, Peiying Wu, Jerry Zhijian Yang

  2025-04-27

  9325 578 Pages:942-974

• Approximating Numerical Fluxes Using Fourier Neural Operators for Hyperbolic Conservation Laws

  Taeyoung Kim, Myungjoo Kang

  2025-09-02

  12318 905 Pages:420-456

• VPVnet: A Velocity-Pressure-Vorticity Neural Network Method for the Stokes’ Equations under Reduced Regularity

  Yujie Liu, Chao Yang

  2022-03-03

  45622 3272 Pages:739-770

• 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

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

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

  2024-10-09

  15386 1250 Pages:673-710

• 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

  15810 1289 Pages:711-780

• Interior Penalty Discontinuous Galerkin Based Isogeometric Analysis for Allen-Cahn Equations on Surfaces

  Qin Li, Pengxin Liu, Hanxin Zhang

  2020-07-30

  39773 3260 Pages:1380-1416

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

  Ruihan Guo, Yan Xu

  2020-07-30

  40377 3124 Pages:424-457

• 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

  17139 1403 Pages:1157-1185

• 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

  15991 1212 Pages:1262-1306

• On the Anisotropic Gaussian Velocity Closure for Inertial-Particle Laden Flows

  Aymeric Vié, François Doisneau, Marc Massot

  2018-04-02

  42687 4443 Pages:1-46

• A Novel High-Order Shock-Capturing Limiter for RKDG Method on Unstructured Meshes via TENO Selection Strategies

  Haohan Huang, Tian Liang, Mingduo Yuan, Lin Fu

  2026-02-15

  4083 200 Pages:387-416

• Capturing Vertical Information in Radially Symmetric Flow Using Hyperbolic Shallow Water Moment Equations

  Rik Verbiest, Julian Koellermeier

  2025-09-02

  10355 570 Pages:810-848

• A Complete Error Analysis of PINNs for Elliptic Equations Using Projected Stochastic Gradient Descent

  Yuling Jiao, Ruoxuan Li, Defeng Sun, Peiying Wu, Jerry Zhijian Yang

  2026-04-10

  111 25 Pages:27-60