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

  186 67 Pages:485-520

• 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

  40334 3242 Pages:1503-1528

• Existence and Uniqueness of the Weak Solution of the Space-Time Fractional Diffusion Equation and a Spectral Method Approximation

  Xianjuan Li & Chuanju Xu

  2010-08-01

  46170 4782 Pages:1016-1051

• A Normalizing Field Flow Induced Two-Stage Stochastic Homogenization Method for Random Composite Materials

  Zihao Yang, Xintong Wang, Xiaofei Guan, Jizu Huang, Xixin Wu

  2023-10-07

  34591 2753 Pages:787-812

• High Order Finite Difference WENO Methods with Unequal-Sized Sub-Stencils for the Degasperis-Procesi Type Equations

  Jianfang Lin, Yan Xu, Huiwen Xue, Xinghui Zhong

  2022-03-03

  45191 3103 Pages:913-946

• Local RBF Algorithms for Elliptic Boundary Value Problems in Annular Domains

  C. S. Chen & Andreas Karageorghis

  2018-09-01

  45553 5029 Pages:41-67

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

  Pierre Degond & Min Tang

  2011-10-01

  39507 4431 Pages:1-31

• Efficient Algorithms for Approximating Particular Solutions of Elliptic Equations Using Chebyshev Polynomials

  A. Karageorghis & I. Kyza

  2007-02-01

  38471 4086 Pages:501-521

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

  Huifang Zhou, Zhiqiang Sheng

  2025-11-07

  2596 119 Pages:147-184

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

  Zhen Li, Zuoqiang Shi & Jian Sun

  2019-04-04

  46615 3334 Pages:506-530

• A Multi-Scale DNN Algorithm for Nonlinear Elliptic Equations with Multiple Scales

  Xi-An Li, Zhi-Qin John Xu, Lei Zhang

  2020-11-18

  67104 3635 Pages:1886-1906

• An Energy Regularization for Cauchy Problems of Laplace Equation in Annulus Domain

  Houde Han, Leevan Ling & Tomoya Takeuchi

  2011-09-01

  39296 4624 Pages:878-896 Open-access

• Adaptive Finite Element Modeling Techniques for the Poisson-Boltzmann Equation

  M. Holst, J. A. McCammon, Z. Yu, Y. C. Zhou & Y. Zhu

  2012-11-01

  40054 4294 Pages:179-214

• Numerical Solution for a Non-Fickian Diffusion in a Periodic Potential

  Adérito Araújo, Amal K. Das, Cidália Neves & Ercília Sousa

  2018-03-27

  39453 4759 Pages:502-525

• Error Estimates for the Iterative Discontinuous Galerkin Method to the Nonlinear Poisson-Boltzmann Equation

  Peimeng Yin, Yunqing Huang & Hailiang Liu

  2018-07-03

  46224 4912 Pages:168-197

• Multigrid Method for the Chan-Vese Model in Variational Segmentation

  Noor Badshah & Ke Chen

  2018-03-24

  37988 3855 Pages:294-316

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

  Yaning Xie, Shuwang Li, Wenjun Ying

  2023-04-28

  32699 3018 Pages:764-794

• 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

  36233 2866 Pages:1090-1105

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

  Wenjun Ying

  2020-07-31

  43976 3204 Pages:1196-1220

• Modeling 3D Magma Dynamics Using a Discontinuous Galerkin Method

  Seshu Tirupathi, Jan S. Hesthaven & Yan Liang

  2018-04-03

  41938 4421 Pages:230-246

• A Stable Arbitrarily High Order Time-Stepping Method for Thermal Phase Change Problems

  Weiwen Wang, Chuanju Xu

  2023-03-13

  40289 3292 Pages:477-510

• Micro-Differential Boundary Conditions Modelling the Absorption of Acoustic Waves by 2D Arbitrarily-Shaped Convex Surfaces

  Hélène Barucq, Julien Diaz & Véronique Duprat

  2020-07-31

  39426 3682 Pages:674-690

• 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

  40127 4117 Pages:1148-1162

• Optimal Error Estimates of Compact Finite Difference Discretizations for the Schrödinger-Poisson System

  Yong Zhang

  2013-05-05

  40965 4110 Pages:1357-1388

• Parallel Algebraic Multigrid Methods in Gyrokinetic Turbulence Simulations

  M. F. Adams & Y. Nishimura

  2007-02-01

  37195 3846 Pages:881-899

• Generalized Multiscale Finite Element Methods. Nonlinear Elliptic Equations

  Yalchin Efendiev, Juan Galvis, Guanglian Li & Michael Presho

  2014-03-05

  41397 4111 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

  41158 3847 Pages:1102-1115