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• Generalization Error Analysis of Neural Networks with Gradient Based Regularization

  Lingfeng Li, Xue-Cheng Tai, Jiang Yang

  2022-10-28

  45663 3276 Pages:1007-1038

• Adaptive Finite Element Modeling Techniques for the Poisson-Boltzmann Equation

  M. Holst, J. A. McCammon, Z. Yu, Y. C. Zhou & Y. Zhu

  2012-11-01

  40113 4341 Pages:179-214

• A New Coupled Complex Boundary Method for Bioluminescence Tomography

  Rongfang Gong, Xiaoliang Cheng & Weimin Han

  2018-04-03

  40632 5200 Pages:226-250

• Lipschitz and Total-Variational Regularization for Blind Deconvolution

  Yu-Mei Huang & Michael K. Ng

  2008-04-01

  38697 4123 Pages:195-206

• An Energy Regularization for Cauchy Problems of Laplace Equation in Annulus Domain

  Houde Han, Leevan Ling & Tomoya Takeuchi

  2011-09-01

  39340 4653 Pages:878-896 Open-access

• Truncated $L_1$ Regularized Linear Regression: Theory and Algorithm

  Mingwei Dai, Shuyang Dai, Junjun Huang, Lican Kang, Xiliang Lu

  2021-04-30

  50008 4654 Pages:190-209

• An Interface-Capturing Regularization Method for Solving the Equations for Two-Fluid Mixtures

  Jian Du, Robert D. Guy, Aaron L. Fogelson, Grady B. Wright & James P. Keener

  2013-11-05

  40172 3931 Pages:1322-1346

• Computational Software: NeuronSeg_BACH: Automated Neuron Segmentation Using B-Spline Based Active Contour and Hyperelastic Regularization

  Aishwarya Pawar, Yongjie Jessica Zhang

  2020-07-21

  45638 2995 Pages:1219-1244

• Solution of Cauchy Problems by the Multiple Scale Method of Particular Solutions Using Polynomial Basis Functions

  Ji Lin, Yuhui Zhang, Thir Dangal & C. S. Chen

  2018-09-17

  44541 3573 Pages:1409-1434

• Collocation Methods for Cauchy Problems of Elliptic Operators via Conditional Stabilities

  Siqing Li & Leevan Ling

  2019-04-28

  45873 3081 Pages:785-808

• An Energy Regularization Method for the Backward Diffusion Problem and Its Applications to Image Deblurring

  Houde Han, Ming Yan & Chunlin Wu

  2008-04-01

  39053 4217 Pages:177-194

• Radiogenic Source Identification for the Helium Production-Diffusion Equation

  Gang Bao, Todd A. Ehlers & Peijun Li

  2014-07-05

  39102 4499 Pages:1-20

• Numerical Regularized Moment Method for High Mach Number Flow

  Zhenning Cai, Ruo Li & Yanli Wang

  2012-11-01

  42384 4062 Pages:1415-1438

• Variational Low-Light Image Enhancement Based on Fractional-Order Differential

  Qianting Ma, Yang Wang, Tieyong Zeng

  2024-01-31

  28779 2705 Pages:139-159

• Efficient Energy Stable Schemes with Spectral Discretization in Space for Anisotropic Cahn-Hilliard Systems

  Feng Chen & Jie Shen

  2013-05-05

  40934 4750 Pages:1189-1208

• Directly Simulation of Second Order Hyperbolic Systems in Second Order Form via the Regularization Concept

  Hassan Yousefi, Seyed Shahram Ghorashi & Timon Rabczuk

  2018-04-04

  42308 4700 Pages:86-135

• Integral Regularization PINNs for Evolution Equations

  Xiaodong Feng, Haojiong Shangguan, Tao Tang, Xiaoliang Wan

  2026-02-15

  3808 139 Pages:356-386

• A Mean Curvature Regularized Based Model for Demodulating Phase Maps from Fringe Patterns

  Carlos Brito-Loeza, Ricardo Legarda-Sáenz, Arturo Espinosa-Romero, Anabel Martin-Gonzalez

  2018-09-17

  45290 5461 Pages:27-43

• Numerical Method of Profile Reconstruction for a Periodic Transmission Problem from Single-Sided Data

  Mingming Zhang & Junliang Lv

  2018-09-17

  45486 3439 Pages:435-453

• MOD-Net: A Machine Learning Approach via Model-Operator-Data Network for Solving PDEs

  Lulu Zhang, Tao Luo, Yaoyu Zhang, Weinan E, Zhi-Qin John Xu, Zheng Ma

  2022-08-11

  307095 3600 Pages:299-335

• A Stable Q Compensated Reverse Time Migration Method Based on Excitation Amplitude Imaging Condition

  Qingqing Li, Li-Yun Fu, Weijia Sun, Wei Wei, Wanting Hou

  2020-06-05

  51266 4547 Pages:141-166

• Transition Operator Approach to Seismic Full-Waveform Inversion in Arbitrary Anisotropic Elastic Media

  Morten Jakobsen, Ivan Pšenčík, Einar Iversen, Bjørn Ursin

  2020-06-05

  52071 4557 Pages:297-327

• Incorporating the Maximum Entropy on the Mean Framework with Kernel Error for Robust Non-Blind Image Deblurring

  Hok Shing Wong, Hao Zhang, Lihua Li, Tieyong Zeng, Yingying Fang

  2022-03-03

  44661 3287 Pages:893-912

• A Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation

  Yue Yan, Wenbin Chen, Cheng Wang & Steven M. Wise

  2018-08-21

  51603 3339 Pages:572-602

• Kinetic Slip Boundary Condition for Isothermal Rarefied Gas Flows Through Static Non-Planar Geometries Based on the Regularized Lattice-Boltzmann Method

  Jean-Michel Tucny, David Vidal, Sébastien Leclaire, François Bertrand

  2022-03-03

  45422 3158 Pages:816-868

• A Modified Crank-Nicolson Numerical Scheme for the Flory-Huggins Cahn-Hilliard Model

  Wenbin Chen, Jianyu Jing, Cheng Wang, Xiaoming Wang, Steven M. Wise

  2021-12-06

  49398 4230 Pages:60-93 Open-access

• Shallow Water Moment Models for Bedload Transport Problems

  José Garres-Díaz, Manuel J. Castro Díaz, Julian Koellermeier, Tomás Morales de Luna

  2021-07-01

  49254 3205 Pages:903-941