Search Results

• Moment-Based Multi-Resolution HWENO Scheme for Hyperbolic Conservation Laws

  Jiayin Li, Chi-Wang Shu, Jianxian Qiu

  2022-08-11

  302996 3331 Pages:364-400

• Frame Invariance and Scalability of Neural Operators for Partial Differential Equations

  Muhammad I. Zafar, Jiequn Han, Xu-Hui Zhou, Heng Xiao

  2022-08-11

  303796 3475 Pages:336-363

• 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

• 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

  42664 3829 Pages:156-188

• A Mixed Finite Element Scheme for Biharmonic Equation with Variable Coefficient and von Kármán Equations

  Huangxin Chen, Amiya K. Pani, Weifeng Qiu

  2022-05-06

  44581 3296 Pages:1434-1466

• The Hyperbolic Schrödinger Equation and the Quantum Lattice Boltzmann Approximation

  Renato Spigler

  2022-05-06

  44522 3292 Pages:1341-1361

• A Consensus-Based Global Optimization Method with Adaptive Momentum Estimation

  Jingrun Chen, Shi Jin, Liyao Lyu

  2022-03-30

  47179 3022 Pages:1296-1316

• A Rate of Convergence of Physics Informed Neural Networks for the Linear Second Order Elliptic PDEs

  Yuling Jiao, Yanming Lai, Dingwei Li, Xiliang Lu, Fengru Wang, Yang Wang, Jerry Zhijian Yang

  2022-03-30

  51988 3131 Pages:1272-1295

• VAE-KRnet and Its Applications to Variational Bayes

  Xiaoliang Wan, Shuangqing Wei

  2022-03-30

  52262 3243 Pages:1049-1082

• Anomalous Sorption Kinetics of Self-Interacting Particles by a Spherical Trap

  Antonio Raudino, Antonio Grassi, Giuseppe Lombardo, Giovanni Russo, Clarissa Astuto, Mario Corti

  2022-03-03

  45557 3174 Pages:707-738

• A New Mapped WENO Scheme Using Order-Preserving Mapping

  Ruo Li, Wei Zhong

  2022-01-27

  43683 3265 Pages:548-592

• A Conservative and Monotone Characteristic Finite Element Solver for Three-Dimensional Transport and Incompressible Navier-Stokes Equations on Unstructured Grids

  Bassou Khouya, Mofdi El-Amrani, Mohammed Seaid

  2021-12-06

  50403 4305 Pages:224-256

• Continuous-Variable Deep Quantum Neural Networks for Flexible Learning of Structured Classical Information

  Jasvith Raj Basani, Aranya Bhattacherjee

  2021-08-10

  46210 2995 Pages:1216-1231

• Two Nonlinear Positivity-Preserving Finite Volume Schemes for Three-Dimensional Heat Conduction Equations on General Polyhedral Meshes

  Menghuan Liu, Shi Shu, Guangwei Yuan, Xiaoqiang Yue

  2021-08-10

  47597 3210 Pages:1185-1215

• A Sparse Grid Discrete Ordinate Discontinuous Galerkin Method for the Radiative Transfer Equation

  Jianguo Huang, Yue Yu

  2021-08-10

  46994 3085 Pages:1009-1036

• Acoustic Scattering Problems with Convolution Quadrature and the Method of Fundamental Solutions

  Labarca Ignacio, Hiptmair Ralf

  2021-08-10

  47209 3156 Pages:985-1008

• A Direct Numerical Simulation (DNS) Study on the Effect of Particle Configuration on Drag

  Yi Mo, Zichao Long, Pingwen Zhang

  2021-07-01

  48673 3284 Pages:799-819

• An Efficient Positivity-Preserving Finite Volume Scheme for the Nonequilibrium Three-Temperature Radiation Diffusion Equations on Polygonal Meshes

  Shuai Su, Huazhong Tang, Jiming Wu

  2021-05-25

  48749 3133 Pages:448-485

• A High-Accurate Fast Poisson Solver Based on Harmonic Surface Mapping Algorithm

  Jiuyang Liang, Pei Liu, Zhenli Xu

  2021-04-30

  50319 4739 Pages:210-226

• Non-Intrusive Reduced Order Modeling of Convection Dominated Flows Using Artificial Neural Networks with Application to Rayleigh-Taylor Instability

  Zhen Gao, Qi Liu, Jan S. Hesthaven, Bao-Shan Wang, Wai Sun Don, Xiao Wen

  2021-04-30

  49968 4514 Pages:97-123

• A Highly Scalable Boundary Integral Equation and Walk-on-Spheres (BIE-WOS) Method for the Laplace Equation with Dirichlet Data

  Changhao Yan, Wei Cai, Xuan Zeng

  2021-03-24

  44853 3209 Pages:1446-1468

• A Fast Time Splitting Finite Difference Approach to Gross–Pitaevskii Equations

  Marco Caliari, Simone Zuccher

  2021-03-24

  47843 3262 Pages:1336-1364

• Navier-Stokes Solvers for Incompressible Single- and Two-Phase Flows

  Mohamed El Ouafa, Stéphane Vincent, Vincent Le Chenadec

  2021-02-25

  43670 3221 Pages:1213-1245

• A Decoupled Energy Stable Adaptive Finite Element Method for Cahn–Hilliard–Navier–Stokes Equations

  Yaoyao Chen, Yunqing Huang, Nianyu Yi

  2021-02-25

  47916 3445 Pages:1186-1212

• High-Order Runge-Kutta Discontinuous Galerkin Methods with a New Type of Multi-Resolution WENO Limiters on Tetrahedral Meshes

  Jun Zhu, Chi-Wang Shu, Jianxian Qiu

  2021-02-25

  45738 3295 Pages:1030-1058

• A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations

  Hendrik Ranocha, Dimitrios Mitsotakis, David I. Ketcheson

  2021-02-25

  48435 3403 Pages:979-1029

• A Third Order BDF Energy Stable Linear Scheme for the No-Slope-Selection Thin Film Model

  Yonghong Hao, Qiumei Huang, Cheng Wang

  2021-01-13

  47288 3489 Pages:905-929