Search Results

• Stable and Accurate Second-Order Formulation of the Shifted Wave Equation

  Ken Mattsson, Florencia Parisi

  2010-07-01

  42444 4514 Pages:103-137

• A Finite Element Method Solver for Time-Dependent and Stationary Schrödinger Equations with a Generic Potential

  A. Soba

  2009-05-01

  40215 4012 Pages:914-927

• Magnetohydrodynamics with Implicit Plasma Simulation

  J. U. Brackbill, G. Lapenta

  2008-09-05

  39247 3799 Pages:433-456

• A Model-Data Asymptotic-Preserving Neural Network Method Based on Micro-Macro Decomposition for Gray Radiative Transfer Equations

  Hongyan Li, Song Jiang, Wenjun Sun, Liwei Xu, Guanyu Zhou

  2024-06-14

  36819 1980 Pages:1155-1193

• Unconditional Bound-Preserving and Energy-Dissipating Finite-Volume Schemes for the Cahn-Hilliard Equation

  Rafael Bailo, José A. Carrillo, Serafim Kalliadasis, Sergio P. Perez

  2023-10-07

  35461 2861 Pages:713-748

• Convergence of Physics-Informed Neural Networks Applied to Linear Second-Order Elliptic Interface Problems

  Sidi Wu, Aiqing Zhu, Yifa Tang, Benzhuo Lu

  2023-03-13

  41076 3301 Pages:596-627

• Benchmark Computations of the Phase Field Crystal and Functionalized Cahn-Hilliard Equations via Fully Implicit, Nesterov Accelerated Schemes

  Jea-Hyun Park, Abner J. Salgado, Steven M. Wise

  2023-03-13

  46581 3647 Pages:367-398

• Lattice Boltzmann Modeling of Miscible Multicomponent Gas Mixtures in the Rarefied Regime

  Michel Ho, Sami Ammar, Sébastien Leclaire, Marcelo Reggio, Jean-Yves Trépanier

  2022-10-28

  44899 3377 Pages:1179-1216

• Physics-Driven Learning of the Steady Navier-Stokes Equations Using Deep Convolutional Neural Networks

  Hao Ma, Yuxuan Zhang, Nils Thuerey, Xiangyu Hu, Oskar J. Haidn

  2022-09-29

  42887 3384 Pages:715-736

• 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

  307210 3640 Pages:299-335

• Reliability Investigation of BiCGStab and IDR Solvers for the Advection-Diffusion-Reaction Equation

  Chris Schoutrop, Jan ten Thije Boonkkamp, Jan van Dijk

  2022-07-06

  42791 3909 Pages:156-188

• Convergence Rate Analysis for Deep Ritz Method

  Chenguang Duan, Yuling Jiao, Yanming Lai, Dingwei Li, Xiliang Lu, Jerry Zhijian Yang

  2022-03-30

  59109 3453 Pages:1020-1048

• Fractional Buffer Layers: Absorbing Boundary Conditions for Wave Propagation

  Min Cai, Ehsan Kharazmi, Changpin Li, George Em Karniadakis

  2022-01-27

  44503 3310 Pages:331-369

• A Non-Ersatz Material Approach for the Topology Optimization of Elastic Structures Based on Piecewise Constant Level Set Method

  Zhengfang Zhang, Yanqiang Dong, Weifeng Chen

  2021-10-26

  46655 3379 Pages:1370-1389

• A Wavelet-Adaptive Method for Multiscale Simulation of Turbulent Flows in Flying Insects

  Thomas Engels, Kai Schneider, Julius Reiss, Marie Farge

  2021-08-10

  48713 3240 Pages:1118-1149

• Permanent Charge Effects on Ionic Flow: A Numerical Study of Flux Ratios and Their Bifurcation

  Weizhang Huang, Weishi Liu, Yufei Yu

  2021-05-25

  47612 3215 Pages:486-514

• Numerical Discretization of Variational Phase Field Model for Phase Transitions in Ferroelectric Thin Films

  Ruotai Li, Qiang Du, Lei Zhang

  2021-01-13

  47512 3469 Pages:729-746

• On the Convergence of Physics Informed Neural Networks for Linear Second-Order Elliptic and Parabolic Type PDEs

  Yeonjong Shin, Jérôme Darbon, George Em Karniadakis

  2020-11-18

  89495 4608 Pages:2042-2074

• Mathematical Aspects Relative to the Fluid Statics of a Self-Gravitating Perfect-Gas Isothermal Sphere

  Pierluigi Amodio, Domenico Giordano, Felice Iavernaro, Arcangelo Labianca, Monica Lazzo, Francesca Mazzia, Lorenzo Pisani

  2020-07-21

  47082 3256 Pages:1085-1104

• Recurrence Phenomenon for Vlasov-Poisson Simulations on Regular Finite Element Mesh

  Michel Mehrenberger, Laurent Navoret, Nhung Pham

  2020-07-21

  46802 3199 Pages:877-901

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

  Jialing Wang, Yushun Wang, Dong Liang

  2020-07-30

  44841 3765 Pages:828-860

• An Efficient and Unconditionally Energy Stable Scheme for Simulating Solid-State Dewetting of Thin Films with Isotropic Surface Energy

  Qiong-Ao Huang, Wei Jiang, Jerry Zhijian Yang

  2019-08-27

  49018 3582 Pages:1444-1470

• Point Integral Method for Elliptic Equations with Variable Coefficients on Point Cloud

  Zhen Li, Zuoqiang Shi, Jian Sun

  2019-04-04

  46796 3391 Pages:506-530

• A Second-Order Two-Scale Algorithm for Thermo-Mechanical Coupling Problems in Quasi-Periodic Porous Materials

  Zhiqiang Yang, Yi Sun, Junzhi Cui, Tianyu Guan, Zifeng Yuan

  2018-12-08

  48424 3516 Pages:1144-1176

• Application of the GRP Scheme for Cylindrical Compressible Fluid Flows

  Rui Chen, Jiequan Li, Baolin Tian

  2018-09-17

  44307 3544 Pages:1523-1555

• Numerical Study on Two-Dimensional Micro-Channel Flows Using the Gas-Kinetic Unified Algorithm

  Shen-Mao Hou, Zhi-Hui Li, Xin-Yu Jiang, Shi Zeng

  2018-08-21

  47071 3549 Pages:1393-1414

• The Simplified Lattice Boltzmann Method on Non-Uniform Meshes

  Zhen Chen, Chang Shu, Danielle S. Tan

  2020-07-31

  52099 3309 Pages:1131-1149