Search Results

• Nonlinear Level Set Learning for Function Approximation on Sparse Data with Applications to Parametric Differential Equations

  Anthony Gruber, Max Gunzburger, Lili Ju, Yuankai Teng, Zhu Wang

  2021-09-10

  59840 3065 Pages:839-861

• A Linearized Spectral-Galerkin Method for Three-Dimensional Riesz-Like Space Fractional Nonlinear Coupled Reaction-Diffusion Equations

  Shimin Guo, Wenjing Yan, Liquan Mei, Ying Wang, Lingling Wang

  2021-06-02

  47754 2870 Pages:738-772

• A New Exponential Compact Scheme for the Two-Dimensional Unsteady Nonlinear Burgers' and Navier-Stokes Equations in Polar Cylindrical Coordinates

  R.K. Mohanty, Li Yuan, Divya Sharma

  2021-01-26

  45270 2637 Pages:488-507

• Efficient and Accurate Legendre Spectral Element Methods for One-Dimensional Higher Order Problems

  Yang Zhang, Xuhong Yu, Zhongqing Wang

  2021-01-26

  44794 2580 Pages:461-487

• A Continuous-Stage Modified Leap-Frog Scheme for High-Dimensional Semi-Linear Hamiltonian Wave Equations

  Bin Wang, Xinyuan Wu, Yonglei Fang

  2020-03-16

  44170 2710 Pages:814-844

• A Vertex-Centered and Positivity-Preserving Finite Volume Scheme for Two-Dimensional Three-Temperature Radiation Diffusion Equations on General Polygonal Meshes

  Shuai Su, Jiming Wu

  2020-03-06

  42749 4184 Pages:220-252

• A Consistent Fourth-Order Compact Finite Difference Scheme for Solving Vorticity-Stream Function Form of Incompressible Navier-Stokes Equations

  Tao Wang & Tiegang Liu

  2018-09-18

  44553 4913 Pages:312-330

• Analysis of Hexagonal Grid Finite Difference Methods for Anisotropic Laplacian Related Equations

  Daniel Lee

  2017-10-01

  39583 2858 Pages:562-596

• Finite Volume Element Methods for Two-Dimensional Three-Temperature Radiation Diffusion Equations

  Yanni Gao, Xiukun Zhao & Yonghai Li

  2016-09-01

  39118 2615 Pages:470-496

• Difference Approximation of Stochastic Elastic Equation Driven by Infinite Dimensional Noise

  Yinghan Zhang, Xiaoyuan Yang & Ruisheng Qi

  2016-09-01

  38467 4102 Pages:123-146

• Alternating Direction Implicit Galerkin Finite Element Method for the Two-Dimensional Time Fractional Evolution Equation

  Limei Li & Da Xu

  2014-07-01

  41155 4123 Pages:41-57

• A New Discontinuous Galerkin Method for Parabolic Equations with Discontinuous Coefficient

  Rongpei Zhang, Xijun Yu, Xia Cui, Xiaohan Long & Tao Feng

  2013-06-01

  40042 3800 Pages:325-342

• High-Order Accurate Runge-Kutta (Local) Discontinuous Galerkin Methods for One- and Two-Dimensional Fractional Diffusion Equations

  Xia Ji & Huazhong Tang

  2012-05-01

  41683 3649 Pages:333-358

• Numerical Modeling of One-Dimensional Binary Solidification with a Mushy Layer Evolution

  Daniel Lee, Dmitri Alexandrov & H.-N. Huang

  2018-08-14

  40204 3780 Pages:157-185

• Second Order Multigrid Methods for Elliptic Problems with Discontinuous Coefficients on an Arbitrary Interface, I: One Dimensional Problems

  Armando Coco & Giovanni Russo

  2012-05-01

  41436 4487 Pages:19-42 Open-access

• Simulations of Shallow Water Equations by Finite Difference WENO Schemes with Multilevel Time Discretization

  Changna Lu & Gang Li

  2011-04-01

  41691 3536 Pages:505-524

• Discrete Maximum Principle and a Delaunay-Type Mesh Condition for Linear Finite Element Approximations of Two-Dimensional Anisotropic Diffusion Problems

  Weizhang Huang

  2011-04-01

  40502 4006 Pages:319-334

• Simulating Three-Dimensional Free Surface Viscoelastic Flows Using Moving Finite Difference Schemes

  Yubo Zhang & Tao Tang

  2011-04-01

  39492 4068 Pages:92-112

• Three-Dimensional Finite Element Superconvergent Gradient Recovery on Par6 Patterns

  Jie Chen & Desheng Wang

  2010-03-01

  40580 3744 Pages:178-194

• 3D Multiphase Piecewise Constant Level Set Method Based on Graph Cut Minimization

  Tiril P. Gurholt & Xuecheng Tai

  2009-02-01

  41119 4003 Pages:403-420

• Spectral Method for Three-Dimensional Nonlinear Klein-Gordon Equation by Using Generalized Laguerre and Spherical Harmonic Functions

  Xiao-Yong Zhang, Ben-Yu Guo & Yu-Jian Jiao

  2018-08-14

  38829 3907 Pages:43-64

• Development and Comparison of Numerical Fluxes for LWDG Methods

  Jianxian Qiu

  2008-01-01

  38371 3651 Pages:435-459

• Fourth-Order Splitting Methods for Time-Dependant Differential Equations

  Jürgen Geiser

  2008-01-01

  39151 3532 Pages:321-339

• An Asymptotic Preserving Method for the Weakly Nonlinear Klein-Gordon Equation

  Dandan Wang, Hanquan Wang

  2025-12-17

  198 45 Pages:106-128

• A Highly Efficient Adaptive Mesh Refinement Algorithm for the 1D Schrödinger-Poisson Problem

  Meili Guo, Haiyan Jiang, Tiao Lu, Wenqi Yao

  2025-10-22

  5490 324 Pages:881-902

• Sparse Wavelet Element Method for Piezoelectric Equations in an Unbounded Domain

  Jianguo Huang, Likun Qiu

  2025-09-01

  4984 399 Pages:733-755

• On the Criteria for Online Updating of Basis Functions for Model Order Reduction Techniques

  Han Zhang, Zhiyong Wang, Zihao Mou, Taidong Niu, Helin Gong

  2025-09-01

  5091 397 Pages:619-649