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  • An Adaptive Complex Collocation Method for Solving Linear Elliptic PDEs in Regular Convex Polygons Based on the Unified Transform

    E-N G. Grylonakis, C. K. Filelis-Papadopoulos, G. A. Gravvanis, A. S. Fokas
    2018-12-17
    43232 2967 Pages:348-369
  • Segmentation by Elastica Energy with $L$1 and $L$2 Curvatures: A Performance Comparison

    Xuan He, Wei Zhu, Xue-Cheng Tai
    2018-09-18
    42327 4556 Pages:285-311
  • The Instability in the Dimensions of Spline Spaces over $T$-Meshes with Nested $T$-Cycles

    Chongjun Li, Pengxiao Wang
    2018-09-18
    41382 4457 Pages:187-211
  • Fully Discrete $H$1-Galerkin Mixed Finite Element Methods for Parabolic Optimal Control Problems

    Tianliang Hou, Chunmei Liu, Hongbo Chen
    2018-09-18
    41310 4308 Pages:134-153
  • A New Triangular Spectral Element Method II: Mixed Formulation and $hp$-Error Estimates

    Bingzhen Zhou, Bo Wang, Li-Lian Wang, Ziqing Xie
    2018-09-18
    42060 4596 Pages:72-97
  • Weak and Strong Convergence of Two Algorithms for the Split Fixed Point Problem

    Fenghui Wang, Hong-Kun Xu
    2021-01-13
    42301 2854 Pages:770-781
  • A Markov-Driven Portfolio Execution Strategy with Market Impact

    Qingqing Yang, Wai-Ki Ching, Tak-Kuen Siu, Zhiwen Zhang
    2021-01-13
    43133 3060 Pages:701-728
  • A Weak Galerkin Finite Element Method for Elliptic Interface Problems with Polynomial Reduction

    Bhupen Deka
    2018-09-17
    40394 2767 Pages:655-672
  • Numerical Approximation to a Stochastic Parabolic PDE with Weak Galerkin Method

    Hongze Zhu, Yongkui Zou, Shimin Chai, Chenguang Zhou
    2018-09-17
    41819 2762 Pages:604-617
  • A Splitting Collocation Method for Elliptic Interface Problems

    Hancan Zhu, Kewei Liang, Guanghua He, Jun Ying
    2018-09-17
    40639 2781 Pages:491-505
  • A Two-Step Method Based on Plane Wave for Nonhomogeneous Helmholtz Equations in Inhomogeneous Media

    Qiya Hu, Lin Zhao
    2018-09-17
    41083 2786 Pages:453-476
  • Nonnegativity-Preserving Repair Techniques for the Finite Element Solutions of Degenerate Nonlinear Parabolic Problems

    Junliang Lv, Guangwei Yuan, Jingyan Yue
    2018-09-17
    41811 2900 Pages:413-436
  • A Boosting Procedure for Variational-Based Image Restoration

    Samad Wali, Zhifang Liu, Chunlin Wu, Huibin Chang
    2018-09-17
    43473 4469 Pages:49-73
  • Nodal Discontinuous Galerkin Method for Time-Domain Lorentz Model Equations in Meta-Materials

    Shanghui Jia, Changhui Yao, Shuai Su
    2018-09-17
    43099 4902 Pages:30-48
  • Adaptive Dimensionality-Reduction for Time-Stepping in Differential and Partial Differential Equations

    Xing Fu, J. Nathan Kutz
    2017-11-02
    39404 2681 Pages:872-894
  • Finite Element and Discontinuous Galerkin Methods with Perfect Matched Layers for American Options

    Haiming Song, Kai Zhang, Yutian Li
    2017-11-02
    39533 2725 Pages:829-851
  • Evaluation Algorithm of PHT-Spline Surfaces

    Zhihua Wang, Falai Chen, Jiansong Deng
    2017-11-02
    39622 2753 Pages:760-774
  • Numerical Effects of the Gaussian Recursive Filters in Solving Linear Systems in the 3Dvar Case Study

    Salvatore Cuomo, Ardelio Galletti, Giulio Giunta, Livia Marcellino
    2017-10-01
    38897 2701 Pages:520-540
  • 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
    39313 2598 Pages:373-419
  • Total Variation Based Parameter-Free Model for Impulse Noise Removal

    Federica Sciacchitano, Yiqiu Dong, Martin S. Andersen
    2018-08-14
    39639 4162 Pages:186-204
  • Nonconforming Finite Element Methods for Wave Propagation in Metamaterials

    Changhui Yao, Lixiu Wang
    2018-08-14
    39376 4021 Pages:145-166
  • 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
    38921 2689 Pages:640-663
  • A Multiple Interval Chebyshev-Gauss-Lobatto Collocation Method for Ordinary Differential Equations

    Zhong-qing Wang, Jun Mu
    2016-09-01
    39782 2817 Pages:619-639
  • Adaptive Mixed GMsFEM for Flows in Heterogeneous Media

    Ho Yuen Chan, Eric Chung, Yalchin Efendiev
    2016-09-01
    40359 4004 Pages:497-527 Open-access
  • A Multistep Scheme for Decoupled Forward-Backward Stochastic Differential Equations

    Weidong Zhao, Wei Zhang, Lili Ju
    2016-09-01
    39436 2789 Pages:262-288
  • A Priori Error Estimate of Splitting Positive Definite Mixed Finite Element Method for Parabolic Optimal Control Problems

    Hongfei Fu, Hongxing Rui, Jiansong Zhang, Hui Guo
    2016-09-01
    39408 2744 Pages:215-238
  • Positivity-Preserving Runge-Kutta Discontinuous Galerkin Method on Adaptive Cartesian Grid for Strong Moving Shock

    Jianming Liu, Jianxian Qiu, Mikhail Goman, Xinkai Li, Meilin Liu
    2016-09-01
    39042 4200 Pages:87-110
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