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• A Stable Arbitrarily High Order Time-Stepping Method for Thermal Phase Change Problems

  Weiwen Wang, Chuanju Xu

  2023-03-13

  40403 3318 Pages:477-510

• 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

  89003 4556 Pages:2042-2074

• Energy-Preserving Hybrid Asymptotic Augmented Finite Volume Methods for Nonlinear Degenerate Wave Equations

  Wenju Liu, Yanjiao Zhou, Zhiyue Zhang

  2024-03-13

  26459 2242 Pages:313-368

• 3D-Simulations of Transverse Optical Modes of the Free Electron Laser Resonator with Hole Output Coupling

  Y. Dou, X. Shu & Y. Wang

  2006-01-01

  39553 4005 Pages:920-929

• An Efficient Reduced-Order Model Based on Dynamic Mode Decomposition for Parameterized Spatial High-Dimensional PDEs

  Yifan Lin, Xiang Sun, Jie Nie, Yuanhong Chen, Zhen Gao

  2025-09-02

  11746 904 Pages:575-602

• Long Time Error Analysis of Finite Difference Time Domain Methods for the Nonlinear Klein-Gordon Equation with Weak Nonlinearity

  Weizhu Bao, Yue Feng, Wenfan Yi

  2019-08-27

  48115 3492 Pages:1307-1334

• 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

• Linear and Unconditionally Energy Stable Schemes for the Multi-Component Two-Phase Diffuse Interface Model with Peng-Robinson Equation of State

  Chenfei Zhang, Hongwei Li, Xiaoping Zhang, Lili Ju

  2019-07-02

  46063 3305 Pages:1071-1097

• An Adaptive Conservative Finite Volume Method for Poisson-Nernst-Planck Equations on a Moving Mesh

  Xiulei Cao & Huaxiong Huang

  2019-04-04

  46963 3445 Pages:389-412

• Numerical Modeling of Non-Isothermal Compositional Compressible Gas Flow in Soil and Coupled Atmospheric Boundary Layer

  Ondřej Pártl, Michal Beneš, Radek Fučík & Tissa Illangasekare

  2019-04-04

  45853 3348 Pages:346-388

• The Weak Galerkin Method for Elliptic Eigenvalue Problems

  Qilong Zhai, Hehu Xie, Ran Zhang & Zhimin Zhang

  2019-02-25

  48273 5425 Pages:160-191

• Numerical Study of Turbidity Current over a Three-Dimensional Seafloor

  Ching Hao Yu, Liang Zhao, Haw Liang Wen, Tony Wen Hann Sheu & Rui Dong An

  2018-12-08

  50625 3461 Pages:1177-1212

• A Simplified Artificial Compressibility Flux for the Discontinuous Galerkin Solution of the Incompressible Navier-Stokes Equations

  Fan Zhang, Hansong Tang, Jian Cheng & Tiegang Liu

  2018-12-08

  48736 3508 Pages:988-1009

• A Solution Structure-Based Adaptive Approximate (SSAA) Riemann Solver for the Elastic-Perfectly Plastic Solid

  Si Gao & Tiegang Liu

  2018-11-09

  46235 3576 Pages:781-811

• A Gas-Kinetic Riemann Solver for Stiffened Gas Interface and Its Application in Multimaterial Flows

  Qibing Li

  2018-10-11

  45091 3374 Pages:416-447

• Space-Time Discontinuous Galerkin Method for Maxwell's Equations

  Ziqing Xie, Bo Wang & Zhimin Zhang

  2013-10-05

  39430 3980 Pages:916-939

• Mathematical Modelling and Numerical Simulation of Dendrite Growth Using Phase-Field Method with a Magnetic Field Effect

  A. Rasheed & A. Belmiloudi

  2014-08-05

  41235 4128 Pages:477-508

• A Direct Solver for Initial Value Problems of Rarefied Gas Flows of Arbitrary Statistics

  Jaw-Yen Yang, Bagus Putra Muljadi, Zhi-Hui Li & Han-Xin Zhang

  2014-07-05

  38835 4460 Pages:242-264

• A Lattice Boltzmann and Immersed Boundary Scheme for Model Blood Flow in Constricted Pipes: Part 1 – Steady Flow

  S. C. Fu, W. W. F. Leung & R. M. C. So

  2014-07-05

  39205 4688 Pages:126-152

• Radiogenic Source Identification for the Helium Production-Diffusion Equation

  Gang Bao, Todd A. Ehlers & Peijun Li

  2014-07-05

  39102 4499 Pages:1-20

• Optimal Error Estimates of Compact Finite Difference Discretizations for the Schrödinger-Poisson System

  Yong Zhang

  2013-05-05

  41019 4134 Pages:1357-1388

• Retrieving Topological Information of Implicitly Represented Diffuse Interfaces with Adaptive Finite Element Discretization

  Jian Zhang & Qiang Du

  2013-05-05

  40310 4227 Pages:1209-1226

• An Efficient Sampling Method for Regression-Based Polynomial Chaos Expansion

  Samih Zein, Benoît Colson & François Glineur

  2013-08-05

  43548 4328 Pages:1173-1188

• Differential Formulation of Discontinuous Galerkin and Related Methods for the Navier-Stokes Equations

  Haiyang Gao, Z. J. Wang & H. T. Huynh

  2013-08-05

  43683 4128 Pages:1013-1044

• Wave Propagation Across Acoustic/Biot's Media: A Finite-Difference Method

  Guillaume Chiavassa & Bruno Lombard

  2013-08-05

  43619 4242 Pages:985-1012

• Lattice Boltzmann Modeling of Advection-Diffusion-Reaction Equations: Pattern Formation Under Uniform Differential Advection

  S. G. Ayodele, D. Raabe & F. Varnik

  2020-07-31

  41232 4453 Pages:741-756

• Sound Propagation Properties of the Discrete-Velocity Boltzmann Equation

  Erlend Magnus Viggen

  2020-07-31

  41065 4110 Pages:671-684