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• An Efficient Mapped WENO Scheme Using Approximate Constant Mapping

  Ruo Li, Wei Zhong

  2022-02-09

  44943 3712 Pages:1-41

• Generalized Rough Polyharmonic Splines for Multiscale PDEs with Rough Coefficients

  Xinliang Liu, Lei Zhang, Shengxin Zhu

  2021-09-10

  47909 2752 Pages:862-892

• Finite Difference Schemes for the Variable Coefficients Single and Multi-Term Time-Fractional Diffusion Equations with Non-Smooth Solutions on Graded and Uniform Meshes

  Mingrong Cui

  2019-04-22

  44084 2798 Pages:845-866

• An Interface-Unfitted Finite Element Method for Elliptic Interface Optimal Control Problems

  Chaochao Yang, Tao Wang & Xiaoping Xie

  2019-04-22

  44308 2706 Pages:727-749

• Strong Convergence of the Semi-Implicit Euler Method for a Kind of Stochastic Volterra Integro-Differential Equations

  Jianfang Gao, Shufang Ma & Hui Liang

  2018-12-17

  43266 2841 Pages:547-565

• Numerical Analysis of Partially Penalized Immersed Finite Element Methods for Hyperbolic Interface Problems

  Qing Yang

  2018-09-17

  41124 2857 Pages:272-298

• 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

• High Order Scheme for Schrödinger Equation with Discontinuous Potential I: Immersed Interface Method

  Hao Wu

  2011-04-01

  41377 3486 Pages:576-597

• 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

• Analysis and Efficient Implementation of Quadratic Spline Collocation ADI Methods for Variable-Order Time-Fractional Mobile-Immobile Diffusion Equations

  Jun Liu, Hongfei Fu, Bingyin Zhang, Jiansong Zhang

  2025-04-06

  6857 656 Pages:226-258

• A Stabilized Physics Informed Neural Networks Method for Wave Equations

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

  2024-12-11

  11793 1380 Pages:1100-1127

• Projection Improved SPAI Preconditioner for FGMRES

  Mingguang Geng, Shuli Sun

  2023-11-07

  28251 2332 Pages:1035-1052

• Convergence Analysis of a Quasi-Monte Carlo-Based Deep Learning Algorithm for Solving Partial Differential Equations

  Fengjiang Fu, Xiaoqun Wang

  2023-08-29

  28404 2513 Pages:668-700

• A Unified Fast Memory-Saving Time-Stepping Method for Fractional Operators and Its Applications

  Yuxiang Huang, Qiaoge Li, Rongxin Li, Fanhai Zeng, Ling Guo

  2022-07-19

  42320 3188 Pages:679-714

• The Conservation and Convergence of Two Finite Difference Schemes for KdV Equations with Initial and Boundary Value Conditions

  Jinye Shen, Xuping Wang, Zhi-zhong Sun

  2020-03-06

  45969 4377 Pages:253-280

• Error Estimates and Superconvergence of a High-Accuracy Difference Scheme for a Parabolic Inverse Problem with Unknown Boundary Conditions

  Liping Zhou, Shi Shu, Haiyuan Yu

  2019-10-12

  45952 2680 Pages:1119-1140

• The Plane Wave Discontinuous Galerkin Method Combined with Local Spectral Finite Elements for the Wave Propagation in Anisotropic Media

  Long Yuan

  2018-12-17

  41470 2763 Pages:517-546

• A Separable Preconditioner for Time-Space Fractional Caputo-Riesz Diffusion Equations

  Xuelei Lin, Michael K. Ng & Haiwei Sun

  2021-01-13

  43124 2913 Pages:827-853

• Density Estimation via Mixture Discrepancy and Moments

  Zhengyang Lei, Lirong Qu, Sihong Shao, Yunfeng Xiong

  2026-01-20

  120 44 Pages:240-274

• A Uniformly Stable Nonconforming FEM Based on Weighted Interior Penalties for Darcy-Stokes-Brinkman Equations

  Peiqi Huang & Zhilin Li

  2018-08-14

  39786 4038 Pages:22-43

• A New Quasi-Monte Carlo Technique Based on Nonnegative Least Squares and Approximate Fekete Points

  Claudia Bittante, Stefano De Marchi & Giacomo Elefante

  2016-09-01

  38829 2666 Pages:640-663

• Application of the Level-Set Model with Constraints in Image Segmentation

  Vladimír Klement, Tomáš Oberhuber & Daniel Ševčovič

  2016-09-01

  38654 4174 Pages:147-168

• Semi-Discrete and Fully Discrete Hybrid Stress Finite Element Methods for Elastodynamic Problems

  Zhengqin Yu & Xiaoping Xie

  2015-08-01

  38315 2641 Pages:582-604

• An Approximation of Three-Dimensional Semiconductor Devices by Mixed Finite Element Method and Characteristics-Mixed Finite Element Method

  Qing Yang & Yirang Yuan

  2015-08-01

  38943 2711 Pages:356-382

• A Globally and Superlinearly Convergent Primal-Dual Interior Point Method for General Constrained Optimization

  Jianling Li, Jian Lv & Jinbao Jian

  2015-08-01

  39182 2787 Pages:313-335

• Use of Shifted Laplacian Operators for Solving Indefinite Helmholtz Equations

  Ira Livshits

  2015-08-01

  41387 3949 Pages:136-148

• Unconditionally Stable Pressure-Correction Schemes for a Linear Fluid-Structure Interaction Problem

  Ying He & Jie Shen

  2014-07-01

  39793 3648 Pages:537-554