Search Results

• A Linearized High-Order Combined Compact Difference Scheme for Multi-Dimensional Coupled Burgers' Equations

  Buyun Chen, Dongdong He & Kejia Pan

  2018-09-17

  42110 2841 Pages:299-320

• Spectral Analysis for Preconditioning of Multi-Dimensional Riesz Fractional Diffusion Equations

  Xin Huang, Xue-Lei Lin, Michael K. Ng, Hai-Wei Sun

  2022-07-19

  42008 3178 Pages:565-591

• An Efficient Mapped WENO Scheme Using Approximate Constant Mapping

  Ruo Li, Wei Zhong

  2022-02-09

  44846 3664 Pages:1-41

• Adaptive Dimensionality-Reduction for Time-Stepping in Differential and Partial Differential Equations

  Xing Fu & J. Nathan Kutz

  2017-11-02

  39267 2622 Pages:872-894

• A Stochastic Galerkin Method for the Boltzmann Equation with Multi-Dimensional Random Inputs Using Sparse Wavelet Bases

  Ruiwen Shu, Jingwei Hu & Shi Jin

  2020-11-03

  38943 2576 Pages:465-488

• Multidimensional Iterative Filtering Method for the Decomposition of High-Dimensional Non-Stationary Signals

  Antonio Cicone & Haomin Zhou

  2020-11-03

  38975 2607 Pages:278-298

• Gas-Kinetic BGK Scheme for Three Dimensional Magnetohydrodynamics

  Huazhong Tang, Kun Xu & Chunpei Cai

  2010-03-01

  42083 4047 Pages:387-404

• An Explicit-Implicit Predictor-Corrector Domain Decomposition Method for Time Dependent Multi-Dimensional Convection Diffusion Equations

  Liyong Zhu, Guangwei Yuan & Qiang Du

  2009-02-01

  41100 3313 Pages:301-325

• Multi-Dimensional Image Recovery via Self-Supervised Nonlinear Transform Based a Three-Directional Tensor Nuclear Norm

  Gen Li, Zhihui Tu, Jian Lu, Chao Wang, Lixin Shen

  2024-08-30

  17821 1364 Pages:727-750

• An Extended Courant Element on a Polytope with Application in Approximating an Obstacle Problem

  Mingqing Chen, Jianguo Huang

  2024-08-30

  21835 1431 Pages:607-629

• A Stabilized Low Order Finite Element Method for Three Dimensional Elasticity Problems

  Gwanghyun Jo, Do Y. Kwak

  2020-03-09

  44447 2887 Pages:281-295

• A Few Benchmark Test Cases for Higher-Order Euler Solvers

  Liang Pan, Jiequan Li & Kun Xu

  2017-11-02

  41287 4224 Pages:711-736 Open-access

• A Numerical Approximation Structured by Mixed Finite Element and Upwind Fractional Step Difference for Semiconductor Device with Heat Conduction and Its Numerical Analysis

  Yirang Yuan, Qing Yang, Changfeng Li & Tongjun Sun

  2017-10-01

  39104 2655 Pages:541-561

• Runge-Kutta Discontinuous Local Evolution Galerkin Methods for the Shallow Water Equations on the Cubed-Sphere Grid

  Yangyu Kuang, Kailiang Wu & Huazhong Tang

  2020-11-03

  39159 2558 Pages:373-419

• Simultaneous Approximation of Sobolev Classes by Piecewise Cubic Hermite Interpolation

  Guiqiao Xu & Zheng Zhang

  2014-07-01

  40179 3733 Pages:317-333

• Coupled Models and Parallel Simulations for Three-Dimensional Full-Stokes Ice Sheet Modeling

  Huai Zhang, Lili Ju, Max Gunzburger, Todd Ringler & Stephen Price

  2011-04-01

  39944 3542 Pages:396-418

• Alternating Direction Finite Volume Element Methods for Three-Dimensional Parabolic Equations

  Tongke Wang

  2010-03-01

  41694 4158 Pages:499-522

• Splitting Schemes for Second-Order Backward Stochastic Differential Equations

  Bo Li, Weidong Zhao, Luying Zheng

  2025-10-22

  3839 246 Pages:1003-1026

• On the Recovery of Source Term for Fractional Evolution PDEs by MC-fPINNs

  Rui Sheng, Jerry Zhijian Yang, Cheng Yuan

  2025-05-16

  7324 476 Pages:487-520

• The Direct Discontinuous Galerkin Method with Explicit-Implicit-Null Time Discretizations for Nonlinear Diffusion Equations

  Yumiao Li, Yin Yang, Tiegang Liu, Weixiong Yuan, Kui Cao

  2025-04-06

  6857 543 Pages:175-198

• Unconditional Convergence of Linearized TL1 Difference Methods for a Time-Fractional Coupled Nonlinear Schrödinger System

  Min Li, Dongfang Li, Ju Ming, A. S. Hendy

  2025-04-06

  6811 573 Pages:1-30

• A Stabilized Physics Informed Neural Networks Method for Wave Equations

  Yuling Jiao, Yuhui Liu, Jerry Zhijian Yang, Cheng Yuan

  2024-12-11

  11675 1310 Pages:1100-1127

• A Generalized Selectively Relaxed Matrix Splitting Preconditioning Strategy for Three-Dimensional Flux-Limited Multi-Group Radiation Diffusion Equations

  Xiaoqiang Yue, Sheng Xia, Chunyan Chen, Xiaowen Xu, Shi Shu

  2024-08-30

  22178 1362 Pages:630-657

• MC-Nonlocal-PINNs: Handling Nonlocal Operators in PINNs via Monte Carlo Sampling

  Xiaodong Feng, Yue Qian, Wanfang Shen

  2023-08-29

  28222 2418 Pages:769-791

• Finite Difference Method for Inhomogeneous Fractional Dirichlet Problem

  Jing Sun, Weihua Deng, Daxin Nie

  2022-07-19

  39582 2959 Pages:744-767

• A Local Deep Learning Method for Solving High Order Partial Differential Equations

  Jiang Yang, Quanhui Zhu

  2022-02-09

  47045 4488 Pages:42-67

• 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

  59743 3027 Pages:839-861