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A Scalable Optimization Approach for the Multilinear System Arising from Scattered Data Interpolation
Yannan Chen, Kaidong Fu, Can Li, Qi Ye
2024-08-02
DOI:10.4208/csiam-am.SO-2023-0045
21646
1634
pp. 590-614
Total Variations for Hue, Saturation, and Value of a Color Image
Wei Wang, Chengyun Yang
2024-08-02
DOI:10.4208/csiam-am.SO-2023-0021
21712
1629
pp. 551-589
A priori Error Analysis of a Discontinuous Galerkin Method for Cahn–Hilliard–Navier–Stokes Equations
Chen Liu, Béatrice Rivière
2020-04-30
DOI:10.4208/csiam-am.2020-0005
62723
5129
pp. 104-141
The Double Regularization Method for Capacity Constrained Optimal Transport
Tianhao Wu, Qihao Cheng, Zihao Wang, Chaorui Zhang, Bo Bai, Zhongyi Huang, Hao Wu
2023-10-26
DOI:10.4208/csiam-am.SO-2022-0044
30648
2612
pp. 776-796
Asymptotic Expansion Regularization for Inverse Source Problems in Two-Dimensional Singularly Perturbed Nonlinear Parabolic PDEs
Dmitrii Chaikovskii, Aleksei Liubavin, Ye Zhang
2023-10-26
DOI:10.4208/csiam-am.SO-2022-0017
27466
2524
pp. 721-757
BINet: Learn to Solve Partial Differential Equations with Boundary Integral Networks
Guochang Lin, Pipi Hu, Fukai Chen, Xiang Chen, Junqing Chen, Jun Wang, Zuoqiang Shi
2023-02-14
DOI:10.4208/csiam-am.SO-2022-0014
35446
3292
pp. 275-305
Iterative Runge-Kutta-Type Methods with Convex Penalty for Inverse Problems in Hilbert Spaces
Shanshan Tong, Wei Wang, Zhenwu Fu, Bo Han
2023-02-14
DOI:10.4208/csiam-am.SO-2022-0012
34392
3221
pp. 225-255
Unconditionally Maximum-Principle-Preserving Parametric Integrating Factor Two-Step Runge-Kutta Schemes for Parabolic Sine-Gordon Equations
Hong Zhang, Xu Qian, Jun Xia, Songhe Song
2023-01-09
DOI:10.4208/csiam-am.SO-2022-0019
33541
3799
pp. 177-224
A Variational Discretization Method for Mean Curvature Flows by the Onsager Principle
Yihe Liu, Xianmin Xu
2025-02-11
DOI:10.4208/csiam-am.SO-2024-0005
11481
1176
pp. 63-95
A Variational Model for Simultaneously Image Denoising and Luminance Adjustment
Wei Wang, Ruofan Liu
2022-08-31
DOI:10.4208/csiam-am.SO-2021-0037
33375
3164
pp. 428-447
Numerical Research for the 2D Vorticity-Stream Function Formulation of the Navier-Stokes Equations and Its Application in Vortex Merging at High Reynolds Numbers
Jue Wang, Hongwei Ding, Lei Zhang
2022-05-30
DOI:10.4208/csiam-am.SO-2021-0015
39590
3218
pp. 244-272
On Symmetry Breaking of Allen-Cahn
Dong Li, Chaoyu Quan, Tao Tang, Wen Yang
2022-05-30
DOI:10.4208/csiam-am.SO-2021-0030
41092
3296
pp. 221-243
A Holomorphic Operator Function Approach for the Laplace Eigenvalue Problem Using Discontinuous Galerkin Method
Yingxia Xi, Xia Ji
2021-11-29
DOI:10.4208/csiam-am.SO-2021-0012
38766
3364
pp. 776-792
Linear Constrained Rayleigh Quotient Optimization: Theory and Algorithms
Yunshen Zhou, Zhaojun Bai, Ren-Cang Li
2021-05-13
DOI:10.4208/csiam-am.2021.nla.01
44974
3646
pp. 195-262
Distributed Finite-Time Nash Equilibrium Seeking for Non-Cooperative Games
Xiao Fang, Jinhu Lü, Guanghui Wen
2021-02-26
DOI:10.4208/csiam-am.2020-0028
42323
4870
pp. 162-174
Two Modified Schemes for the Primal Dual Fixed Point Method
Ya-Nan Zhu, Xiaoqun Zhang
2021-02-26
DOI:10.4208/csiam-am.2020-0042
41525
4413
pp. 108-130
A Family of Curl-Curl Conforming Finite Elements on Tetrahedral Meshes
Qian Zhang, Zhimin Zhang
2020-12-31
DOI:10.4208/csiam-am.2020-0023
41540
3865
pp. 639-663
Hartley Spectral Pooling for Deep Learning
Hao Zhang, Jianwei Ma
2020-09-25
DOI:10.4208/csiam-am.2020-0018
41697
3819
pp. 518-529
On the Banach Spaces Associated with Multi-Layer ReLU Networks: Function Representation, Approximation Theory and Gradient Descent Dynamics
Weinan E, Stephan Wojtowytsch
2020-09-25
DOI:10.4208/csiam-am.20-211
43957
3854
pp. 387-440
Relaxed Alternating Minimization Algorithm for Separable Convex Programming with Applications to Imaging
Shuangshuang Wu, Yuchao Tang, Tieyong Zeng
2022-11-07
DOI:10.4208/csiam-am.SO-2021-0039
294796
3135
pp. 626-661
Efficient Two-Dimensional Randomized Progressive Iterative Approximation for Large-Scale B-Spline Fitting
Chengzhi Liu, Nian-Ci Wu, Juncheng Li
2026-05-01
DOI:10.4208/csiam-am.SO-2025-0062
340
51
pp. 556-575
Bifurcation and Crossover Processes in the Dynamics of a Marburg Haemorrhagic Fever Model
EF. Doungmo Goufo, I. Tchangou Toudjeu
2026-03-01
DOI:10.4208/csiam-am.SO-2025-0014
817
148
pp. 406-432
A Hue-Preserving Color Image Restoration Model Using Saturation-Value Total Variation
Wei Wang, Yuming Yang
2026-01-25
DOI:10.4208/csiam-am.SO-2023-0009
1015
160
pp. 120-145
An Efficient Iteration Based on Reduced Basis Method for Time-Dependent Problems with Random Inputs
Dou Dai, Qiuqi Li, Huailing Song
2025-09-30
DOI:10.4208/csiam-am.SO-2024-0045
19319
498
pp. 760-798
Efficient Numerical Methods for Computing Stationary States of Spherical Landau-Brazovskii Model
Qun Qiu, Wei Si, Guanghua Ji, Kai Jiang
2025-09-11
DOI:10.4208/csiam-am.SO-2023-0038
4342
455
pp. 435-467
Random Regularity of the Vlasov-Poisson System with Random Initial Inputs in the Quasineutral Regime
Wenyi Wang, Yiwen Lin
2026-03-26
DOI:10.4208/csiam-am.SO-2025-0082
106
37
Error Estimates of Operator Splitting Spectral Method for Semiclassical Sub-Diffusive Gross-Pitaevskii Equation
Wansheng Wang, Yi Huang, Yanming Zhang
2025-11-25
DOI:10.4208/csiam-am.SO-2024-0047
512
208
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