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• The Gaussian Wave Packet Transform for the Semi-Classical Schrödinger Equation with Vector Potentials

  Zhennan Zhou, Giovanni Russo

  2019-04-04

  47491 5537 Pages:469-505 Open-access

• Müntz Spectral Method for Two-Dimensional Space-Fractional Convection-Diffusion Equation

  Dianming Hou, Mejdi Azaïez, Chuanju Xu

  2019-08-27

  54228 3706 Pages:1415-1443

• Time-Harmonic Acoustic Scattering in a Complex Flow: A Full Coupling Between Acoustics and Hydrodynamics

  A. S. Bonnet-Ben Dhia, J. F. Mercier, F. Millot, S. Pernet, E. Peynaud

  2020-07-31

  40198 3812 Pages:555-572

• A Diffuse-Interface Lattice Boltzmann Method for the Dendritic Growth with Thermosolutal Convection

  Chengjie Zhan, Zhenhua Chai, Baochang Shi, Ping Jiang, Shaoning Geng, Dongke Sun

  2023-05-12

  36516 2921 Pages:1164-1188

• Fast Numerical Simulation of Two-Phase Transport Model in the Cathode of a Polymer Electrolyte Fuel Cell

  Pengtao Sun, Guangri Xue, Chaoyang Wang, Jinchao Xu

  2009-06-01

  38875 4276 Pages:49-71

• A Coupled Discrete Unified Gas-Kinetic Scheme for Convection Heat Transfer in Porous Media

  Peiyao Liu, Peng Wang, Long Jv, Zhaoli Guo

  2020-11-26

  47093 4562 Pages:265-291

• Phase-Field-Based Axisymmetric Lattice Boltzmann Method for Two-Phase Electro-Hydrodynamic Flows

  Xi Liu, Zhenhua Chai, Baochang Shi

  2021-10-26

  48404 3427 Pages:1346-1369

• Investigating and Mitigating Failure Modes in Physics-Informed Neural Networks (PINNs)

  Shamsulhaq Basir

  2023-06-06

  41844 3027 Pages:1240-1269

• DL-PDE: Deep-Learning Based Data-Driven Discovery of Partial Differential Equations from Discrete and Noisy Data

  Hao Xu, Haibin Chang, Dongxiao Zhang

  2021-01-13

  55420 3557 Pages:698-728

• Nonstandard Fourier Pseudospectral Time Domain (PSTD) Schemes for Partial Differential Equations

  Bradley E. Treeby, Elliott S. Wise, B. T. Cox

  2018-09-17

  46846 3341 Pages:623-634

• An Inverse Averaging Finite Element Method for Solving the Size-Modified Poisson-Nernst-Planck Equations in Ion Channel Simulations

  Ruigang Shen, Qianru Zhang, Benzhuo Lu

  2024-09-06

  19774 1609 Pages:521-550

• A Monotone Finite Volume Scheme with Second Order Accuracy for Convection-Diffusion Equations on Deformed Meshes.

  Bin Lan, Zhiqiang Sheng, Guangwei Yuan

  2018-09-17

  45162 3718 Pages:1455-1476

• A Well-Balanced Lattice Boltzmann Model for Binary Fluids Based on the Incompressible Phase-Field Theory

  Long Ju, Peiyao Liu, Bicheng Yan, Jin Bao, Shuyu Sun, Zhaoli Guo

  2025-05-29

  8957 558 Pages:1305-1326

• Direct-Forcing Immersed Boundary Method for Mixed Heat Transfer

  Ming-Jyh Chern, Dedy Zulhidayat Noor, Ching-Biao Liao, Tzyy-Leng Horng

  2020-07-31

  38802 3049 Pages:1072-1094

• Quantum Implementation of Numerical Methods for Convection-Diffusion Equations: Toward Computational Fluid Dynamics

  Bofeng Liu, Lixing Zhu, Zixuan Yang, Guowei He

  2023-03-13

  41314 3495 Pages:425-451

• A TV-Based Iterative Regularization Method for the Solutions of Thermal Convection Problems

  Eric T. Chung, Jeff C. -F. Wong

  2013-10-05

  39580 3832 Pages:1120-1146

• 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

  50085 4589 Pages:97-123

• A Kernel Based Unconditionally Stable Scheme for Nonlinear Parabolic Partial Differential Equations

  Kaipeng Wang, Andrew Christlieb, Yan Jiang, Mengping Zhang

  2020-11-26

  46441 4462 Pages:237-264

• A Coupled Immersed Interface and Level Set Method for Three-Dimensional Interfacial Flows with Insoluble Surfactant

  Jian-Jun Xu, Yunqing Huang, Ming-Chih Lai, Zhilin Li

  2018-03-27

  40594 4141 Pages:451-469