Search Results

• 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

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

  Huifang Zhou, Zhiqiang Sheng

  2026-01-15

  3198 288 Pages:147-184

• 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

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

  Andrea Thomann, Markus Zenk, Gabriella Puppo, Christian Klingenberg

  2020-06-05

  48904 3381 Pages:591-620

• A Second Order Ghost Fluid Method for an Interface Problem of the Poisson Equation

  Cheng Liu, Changhong Hu

  2017-10-02

  43818 3311 Pages:965-996

• The Recursive Formulation of Particular Solutions for Some Elliptic PDEs with Polynomial Source Functions

  J. Ding, H. Y. Tian, C. S. Chen

  2009-05-01

  38835 3898 Pages:942-958

• On the Gauss Runge-Kutta and Method of Lines Transpose for Initial-Boundary Value Parabolic PDEs

  Bo Zhang, Dangxing Chen, Jingfang Huang

  2020-07-31

  42830 3286 Pages:1221-1240

• All Speed Scheme for the Low Mach Number Limit of the Isentropic Euler Equations

  Pierre Degond, Min Tang

  2011-10-01

  39650 4600 Pages:1-31

• 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

• Superconvergence Analysis of $C^m$ Finite Element Methods for Fourth-Order Elliptic Equations I: One Dimensional Case

  Waixiang Cao, Lueling Jia, Zhimin Zhang

  2023-06-06

  37605 2970 Pages:1466-1508

• Weak Galerkin Method for Second-Order Elliptic Equations with Newton Boundary Condition

  Mingze Qin, Ruishu Wang, Qilong Zhai, Ran Zhang

  2023-03-13

  39186 3386 Pages:568-595

• Error Control in Multi-Element Generalized Polynomial Chaos Method for Elliptic Problems with Random Coefficients

  Xiaoliang Wan, George Em Karniadakis

  2018-04-11

  41373 3604 Pages:793-820

• A Kernel-Free Boundary Integral Method for Variable Coefficients Elliptic PDEs

  Wenjun Ying, Wei-Cheng Wang

  2020-07-31

  41159 3932 Pages:1108-1140

• An Interface-Unfitted Conforming Enriched Finite Element Method for Stokes-Elliptic Interface Problems with Jump Coefficients

  Hua Wang, Jinru Chen, Pengtao Sun, Rihui Lan

  2020-02-23

  51405 3426 Pages:1174-1200

• Super-Closeness Between the Ritz Projection and the Finite Element Solution for Some Elliptic Problems

  Ruosi Liang, Yue Yan, Wenbin Chen, Yanqiu Wang

  2020-06-05

  47414 3186 Pages:803-826

• Dispersive Shallow Water Wave Modelling. Part II: Numerical Simulation on a Globally Flat Space

  Gayaz Khakimzyanov, Denys Dutykh, Oleg Gusev, Nina Yu. Shokina

  2018-07-03

  47802 5537 Pages:30-92

• Extrapolation Cascadic Multigrid Method for Cell-Centered FV Discretization of Diffusion Equations with Strongly Discontinuous and Anisotropic Coefficients

  Kejia Pan, Xiaoxin Wu, Yunlong Yu, Zhiqiang Sheng, Guangwei Yuan

  2022-05-06

  44583 3183 Pages:1561-1584

• Two-Grid Method for Miscible Displacement Problem by Mixed Finite Element Methods and Mixed Finite Element Method of Characteristics

  Yanping Chen, Hanzhang Hu

  2020-07-31

  40483 3278 Pages:1503-1528

• Laplacian Preconditioning for the Inverse Arnoldi Method

  Laurette S. Tuckerman

  2020-07-30

  40632 3421 Pages:1336-1351

• High Order Finite Difference Discretization for Composite Grid Hierarchy and Its Applications

  Qun Gu, Weiguo Gao, Carlos J. García-Cervera

  2020-07-30

  41893 3469 Pages:1211-1233

• A Third-Order Upwind Compact Scheme on Curvilinear Meshes for the Incompressible Navier-Stokes Equations

  Abdullah Shah, Hong Guo, Li Yuan

  2018-04-11

  41642 3527 Pages:712-729

• Mixed Multiscale Finite Volume Methods for Elliptic Problems in Two-Phase Flow Simulations

  Lijian Jiang, Ilya D. Mishev

  2012-11-01

  39472 4159 Pages:19-47

• Generalized Multiscale Finite Element Methods. Nonlinear Elliptic Equations

  Yalchin Efendiev, Juan Galvis, Guanglian Li, Michael Presho

  2014-03-05

  41548 4190 Pages:733-755

• Dirichlet-to-Neumann Mapping for the Characteristic Elliptic Equations with Symmetric Periodic Coefficients

  Jingsu Kang, Meirong Zhang, Chunxiong Zheng

  2014-10-08

  41316 3897 Pages:1102-1115

• Modeling 3D Magma Dynamics Using a Discontinuous Galerkin Method

  Seshu Tirupathi, Jan S. Hesthaven, Yan Liang

  2018-04-03

  42076 4544 Pages:230-246

• An Accurate and Scalable Direction-Splitting Solver for Flows Laden with Non-Spherical Rigid Bodies – Part 1: Fixed Rigid Bodies

  Aashish Goyal, Anthony Wachs

  2023-11-08

  31772 2640 Pages:1079-1132

• 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

  36491 2926 Pages:1090-1105