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• High Order Deep Neural Network for Solving High Frequency Partial Differential Equations

  Zhipeng Chang, Ke Li, Xiufen Zou, Xueshuang Xiang

  2022-01-27

  46148 3482 Pages:370-397

• A Coupled FEM-BEM Approach for the Solution of the Free-Boundary Axi-Symmetric Plasma Equilibrium Problem

  M. Bonotto, D. Abate, P. Bettini, F. Villone

  2021-12-06

  47316 4035 Pages:27-59

• Adaptive Fully Implicit Simulator with Multilevel Schwarz Methods for Gas Reservoir Flows in Fractured Porous Media

  Rui Li, Haijian Yang, Chao Yang

  2021-10-26

  47399 3248 Pages:1499-1528

• Efficient and Stable Schemes for the Magnetohydrodynamic Potential Model

  Guo-Dong Zhang, Xiaofeng Yang

  2021-07-01

  48442 3288 Pages:771-798

• A High-Order Discontinuous Galerkin Solver for Helically Symmetric Flows

  Dominik Dierkes, Florian Kummer, Dominik Plümacher

  2021-04-30

  46261 3977 Pages:288-320

• A Nodal Finite Element Method for a Thermally Coupled Eddy-Current Problem with Moving Conductors

  Zezhong Wang, Qiya Hu

  2021-01-13

  44712 3290 Pages:767-801

• An Adaptive Surrogate Modeling Based on Deep Neural Networks for Large-Scale Bayesian Inverse Problems

  Liang Yan, Tao Zhou

  2020-11-18

  67252 3430 Pages:2180-2205

• Numerical Simulations for Full History Recursive Multilevel Picard Approximations for Systems of High-Dimensional Partial Differential Equations

  Sebastian Becker, Ramon Braunwarth, Martin Hutzenthaler, Arnulf Jentzen, Philippe von Wurstemberger

  2020-11-18

  64386 3357 Pages:2109-2138

• Convolution Neural Network Shock Detector for Numerical Solution of Conservation Laws

  Zheng Sun, Shuyi Wang, Lo-Bin Chang, Yulong Xing, Dongbin Xiu

  2020-11-18

  63919 3589 Pages:2075-2108

• 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

• A Lowest-Order Mixed Finite Element Method for the Elastic Transmission Eigenvalue Problem

  Yingxia Xi, Xia Ji

  2020-07-21

  47323 3114 Pages:1105-1132

• Central Discontinuous Galerkin Methods for the Generalized Korteweg-de Vries Equation

  Mengjiao Jiao, Yingda Cheng, Yong Liu, Mengping Zhang

  2020-07-21

  48317 3292 Pages:927-966

• Concepts in the Direct Waveform Inversion (DWI) Using Explicit Time-Space Causality

  Yingcai Zheng, Zhonghan Liu

  2020-06-05

  49195 4473 Pages:342-355

• 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

• Linear Wavefield Optimization Using a Modified Source

  Tariq Alkhalifah

  2020-06-05

  50202 4326 Pages:276-296

• A New Interpolation for Auxiliary Unknowns of the Monotone Finite Volume Scheme for 3D Diffusion Equations

  Fei Zhao, Xiang Lai, Guangwei Yuan, Zhiqiang Sheng

  2020-02-23

  47487 3228 Pages:1201-1233

• Decoupled, Energy Stable Numerical Scheme for the Cahn-Hilliard-Hele-Shaw System with Logarithmic Flory-Huggins Potential

  Hong-En Jia, Ya-Yu Guo, Ming Li, Yunqing Huang, Guo-Rui Feng

  2020-02-23

  48483 3256 Pages:1053-1075

• Explicit Computation of Robin Parameters in Optimized Schwarz Waveform Relaxation Methods for Schrödinger Equations Based on Pseudodifferential Operators

  Xavier Antoine, Emmanuel Lorin

  2020-02-23

  47689 3315 Pages:1032-1052

• Troubled-Cell Indicator Based on Mean Value Property for Hybrid WENO Schemes

  Kunmin Sung, Youngsoo Ha, Myungjoo Kang

  2020-02-23

  50079 3333 Pages:949-975

• Construction of the Local Structure-Preserving Algorithms for the General Multi-Symplectic Hamiltonian System

  Jialing Wang, Yushun Wang, Dong Liang

  2020-07-30

  44728 3715 Pages:828-860

• A Conservative Numerical Method for the Cahn–Hilliard Equation with Generalized Mobilities on Curved Surfaces in Three-Dimensional Space

  Darae Jeong, Yibao Li, Chaeyoung Lee, Junxiang Yang, Junseok Kim

  2019-12-07

  47064 3263 Pages:412-430

• A Monotone Finite Volume Scheme with Fixed Stencils for 3D Heat Conduction Equation

  Hui Xie, Chuanlei Zhai, Xuejun Xu, Jun Peng, Heng Yong

  2019-07-02

  44893 3175 Pages:1118-1142

• A Numerical Study of the 3-Periodic Wave Solutions to Toda-Type Equations

  Yingnan Zhang, Xingbiao Hu, Yi He & Jianqing Sun

  2019-04-04

  45787 3390 Pages:579-598

• The Finite Point Method for Solving the 2-D 3-T Diffusion Equations

  Guixia Lv & Longjun Shen

  2019-04-04

  45129 3344 Pages:413-433

• Explicit Integration of Stiff Stochastic Differential Equations via an Efficient Implementation of Stochastic Computational Singular Perturbation

  Lijin Wang, Yanzhao Cao & Sau-Hai Lam

  2019-01-10

  46357 3978 Pages:1523-1546

• Detonation Simulations with a Fifth-Order TENO Scheme

  Haibo Dong, Lin Fu, Fan Zhang, Yu Liu & Jun Liu

  2019-01-10

  49778 4146 Pages:1357-1393

• Discontinuous Bubble Immersed Finite Element Method for Poisson-Boltzmann Equation

  In Kwon & Do Y. Kwak

  2018-11-09

  48156 3449 Pages:928-946